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102000210331320 = 23325740476273941
BaseRepresentation
bin10111001100010011000110…
…010011011100011010111000
3111101011010101000221022120200
4113030103012103130122320
5101332132412321100240
61000534125535522200
730325162204344210
oct2714230623343270
9441133330838520
10102000210331320
112a556056656aa4
12b5343a8089360
1344bb76a140c02
141b28b9d5b3240
15bbd3d5e97930
hex5cc4c64dc6b8

102000210331320 has 96 divisors (see below), whose sum is σ = 378857924097120. Its totient is φ = 23314333789440.

The previous prime is 102000210331291. The next prime is 102000210331373. The reversal of 102000210331320 is 23133012000201.

102000210331320 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 0 + 0 + 2 + 10 + 331 + 320 = 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 = 102000210331293 and 102000210331302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20238134451 + ... + 20238139490.

It is an arithmetic number, because the mean of its divisors is an integer number (3946436709345).

Almost surely, 2102000210331320 is an apocalyptic number.

102000210331320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102000210331320 is an abundant number, since it is smaller than the sum of its proper divisors (276857713765800).

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

102000210331320 is a wasteful number, since it uses less digits than its factorization.

102000210331320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40476273965 (or 40476273958 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 102000210331320 its reverse (23133012000201), we get a palindrome (125133222331521).

The spelling of 102000210331320 in words is "one hundred two trillion, two hundred ten million, three hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 140 168 180 210 252 280 315 360 420 504 630 840 1260 2520 40476273941 80952547882 121428821823 161905095764 202381369705 242857643646 283333917587 323810191528 364286465469 404762739410 485715287292 566667835174 607144109115 728572930938 809525478820 850001752761 971430574584 1133335670348 1214288218230 1416669587935 1457145861876 1619050957640 1700003505522 1821432327345 2266671340696 2428576436460 2550005258283 2833339175870 2914291723752 3400007011044 3642864654690 4250008763805 4857152872920 5100010516566 5666678351740 6800014022088 7285729309380 8500017527610 10200021033132 11333356703480 12750026291415 14571458618760 17000035055220 20400042066264 25500052582830 34000070110440 51000105165660 102000210331320