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102210001021200 = 24352617138047003
BaseRepresentation
bin10111001111010110011110…
…110011011010100100010000
3111101220011212201010120200210
4113033112132303122210100
5101344102040230134300
61001214343134244120
730346300051651452
oct2717263663324420
9441804781116623
10102210001021200
112a627021a70436
12b568b96656640
1345054919836b7
141b34dc1ad02d2
15bc3ab3c32050
hex5cf59ecda910

102210001021200 has 120 divisors (see below), whose sum is σ = 327943358326368. Its totient is φ = 27211825034240.

The previous prime is 102210001021109. The next prime is 102210001021229. The reversal of 102210001021200 is 2120100012201.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68283102 + ... + 69763901.

Almost surely, 2102210001021200 is an apocalyptic number.

102210001021200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102210001021200 is an abundant number, since it is smaller than the sum of its proper divisors (225733357305168).

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

102210001021200 is a wasteful number, since it uses less digits than its factorization.

102210001021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138047641 (or 138047630 counting only the distinct ones).

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

Adding to 102210001021200 its reverse (2120100012201), we get a palindrome (104330101033401).

The spelling of 102210001021200 in words is "one hundred two trillion, two hundred ten billion, one million, twenty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 617 1200 1234 1851 2468 3085 3702 4936 6170 7404 9255 9872 12340 14808 15425 18510 24680 29616 30850 37020 46275 49360 61700 74040 92550 123400 148080 185100 246800 370200 740400 138047003 276094006 414141009 552188012 690235015 828282018 1104376024 1380470030 1656564036 2070705045 2208752048 2760940060 3313128072 3451175075 4141410090 5521880120 6626256144 6902350150 8282820180 10353525225 11043760240 13804700300 16565640360 20707050450 27609400600 33131280720 41414100900 55218801200 82828201800 85175000851 165656403600 170350001702 255525002553 340700003404 425875004255 511050005106 681400006808 851750008510 1022100010212 1277625012765 1362800013616 1703500017020 2044200020424 2129375021275 2555250025530 3407000034040 4088400040848 4258750042550 5110500051060 6388125063825 6814000068080 8517500085100 10221000102120 12776250127650 17035000170200 20442000204240 25552500255300 34070000340400 51105000510600 102210001021200