Search a number
-
+
10021220010120 = 23351173103997717
BaseRepresentation
bin1001000111010011111101…
…0000100100100010001000
31022111000112001102110100010
42101310333100210202020
52303141424310310440
633151403535311520
72053003113430104
oct221647720444210
938430461373303
1010021220010120
113213a80496770
12115a21a37b5a0
13578cc6512527
1426905b472904
15125a1cd4d580
hex91d3f424888

10021220010120 has 128 divisors (see below), whose sum is σ = 33245990490240. Its totient is φ = 2396107376640.

The previous prime is 10021220010107. The next prime is 10021220010133. The reversal of 10021220010120 is 2101002212001.

It is an interprime number because it is at equal distance from previous prime (10021220010107) and next prime (10021220010133).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10021220010096 and 10021220010105.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51902499 + ... + 52095218.

It is an arithmetic number, because the mean of its divisors is an integer number (259734300705).

Almost surely, 210021220010120 is an apocalyptic number.

10021220010120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10021220010120 is an abundant number, since it is smaller than the sum of its proper divisors (23224770480120).

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

10021220010120 is a wasteful number, since it uses less digits than its factorization.

10021220010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103997815 (or 103997811 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10021220010120 its reverse (2101002212001), we get a palindrome (12122222222121).

The spelling of 10021220010120 in words is "ten trillion, twenty-one billion, two hundred twenty million, ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 73 88 110 120 132 146 165 219 220 264 292 330 365 438 440 584 660 730 803 876 1095 1320 1460 1606 1752 2190 2409 2920 3212 4015 4380 4818 6424 8030 8760 9636 12045 16060 19272 24090 32120 48180 96360 103997717 207995434 311993151 415990868 519988585 623986302 831981736 1039977170 1143974887 1247972604 1559965755 2079954340 2287949774 2495945208 3119931510 3431924661 4159908680 4575899548 5719874435 6239863020 6863849322 7591833341 9151799096 11439748870 12479726040 13727698644 15183666682 17159623305 22775500023 22879497740 27455397288 30367333364 34319246610 37959166705 45551000046 45758995480 60734666728 68638493220 75918333410 83510166751 91102000092 113877500115 137276986440 151836666820 167020333502 182204000184 227755000230 250530500253 303673333640 334040667004 417550833755 455510000460 501061000506 668081334008 835101667510 911020000920 1002122001012 1252652501265 1670203335020 2004244002024 2505305002530 3340406670040 5010610005060 10021220010120