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102312021321100 = 225227312999124919
BaseRepresentation
bin10111010000110101011111…
…101011111110010110001100
3111102020221012200022210101201
4113100311133223332112030
5101402240004424233400
61001333254351315244
730356541160130233
oct2720653753762614
9442227180283351
10102312021321100
112a666314848778
12b584908b1bb24
134511c9cbc7266
141b39cdd1b1b1a
15bc65854de06a
hex5d0d5fafe58c

102312021321100 has 72 divisors (see below), whose sum is σ = 222174217440000. Its totient is φ = 40895854708800.

The previous prime is 102312021321089. The next prime is 102312021321109. The reversal of 102312021321100 is 1123120213201.

102312021321100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (102312021321109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 818964441 + ... + 819089359.

It is an arithmetic number, because the mean of its divisors is an integer number (3085753020000).

Almost surely, 2102312021321100 is an apocalyptic number.

102312021321100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102312021321100 is an abundant number, since it is smaller than the sum of its proper divisors (119862196118900).

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

102312021321100 is a wasteful number, since it uses less digits than its factorization.

102312021321100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130663 (or 130656 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 102312021321100 its reverse (1123120213201), we get a palindrome (103435141534301).

The spelling of 102312021321100 in words is "one hundred two trillion, three hundred twelve billion, twenty-one million, three hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2731 2999 5462 5998 10924 11996 13655 14995 27310 29990 54620 59980 68275 74975 124919 136550 149950 249838 273100 299900 499676 624595 1249190 2498380 3122975 6245950 8190269 12491900 16380538 32761076 40951345 81902690 163805380 204756725 341153789 374632081 409513450 682307578 749264162 819026900 1364615156 1498528324 1705768945 1873160405 3411537890 3746320810 6823075780 7492641620 8528844725 9365802025 17057689450 18731604050 34115378900 37463208100 1023120213211 2046240426422 4092480852844 5115601066055 10231202132110 20462404264220 25578005330275 51156010660550 102312021321100