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323220000121020 = 223254014499973211
BaseRepresentation
bin100100101111101111000010…
…1010010101010000010111100
31120101102112022112201110201100
41021133132011102222002330
5314331114030012333040
63103233115044013100
7125036605626112602
oct11137360522520274
91511375275643640
10323220000121020
1193a95917816372
1230302250091190
1310b47690c55642
1459b5d07d85872
152757a6214eb30
hex125f7854aa0bc

323220000121020 has 144 divisors (see below), whose sum is σ = 985068111736800. Its totient is φ = 85785563136000.

The previous prime is 323220000120989. The next prime is 323220000121033. The reversal of 323220000121020 is 20121000022323.

323220000121020 is a `hidden beast` number, since 3 + 232 + 200 + 0 + 0 + 1 + 210 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 323220000120984 and 323220000121002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27422215 + ... + 37395425.

It is an arithmetic number, because the mean of its divisors is an integer number (6840750775950).

Almost surely, 2323220000121020 is an apocalyptic number.

323220000121020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 323220000121020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492534055868400).

323220000121020 is an abundant number, since it is smaller than the sum of its proper divisors (661848111615780).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

323220000121020 is a wasteful number, since it uses less digits than its factorization.

323220000121020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9974076 (or 9974071 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 323220000121020 its reverse (20121000022323), we get a palindrome (343341000143343).

The spelling of 323220000121020 in words is "three hundred twenty-three trillion, two hundred twenty billion, one hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 401 449 802 898 1203 1347 1604 1796 2005 2245 2406 2694 3609 4010 4041 4490 4812 5388 6015 6735 7218 8020 8082 8980 12030 13470 14436 16164 18045 20205 24060 26940 36090 40410 72180 80820 180049 360098 540147 720196 900245 1080294 1620441 1800490 2160588 2700735 3240882 3600980 5401470 6481764 8102205 9973211 10802940 16204410 19946422 29919633 32408820 39892844 49866055 59839266 89758899 99732110 119678532 149598165 179517798 199464220 299196330 359035596 448794495 598392660 897588990 1795177980 3999257611 4477971739 7998515222 8955943478 11997772833 13433915217 15997030444 17911886956 19996288055 22389858695 23995545666 26867830434 35993318499 39992576110 40301745651 44779717390 47991091332 53735660868 59988864165 67169576085 71986636998 79985152220 80603491302 89559434780 119977728330 134339152170 143973273996 161206982604 179966592495 201508728255 239955456660 268678304340 359933184990 403017456510 719866369980 806034913020 1795666667339 3591333334678 5387000002017 7182666669356 8978333336695 10774000004034 16161000006051 17956666673390 21548000008068 26935000010085 32322000012102 35913333346780 53870000020170 64644000024204 80805000030255 107740000040340 161610000060510 323220000121020