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102012032250100 = 225271345071083449
BaseRepresentation
bin10111001100011110000110…
…111100011111000011110100
3111101012020212220222000102101
4113030132012330133003310
5101332331120224000400
61000543403004351444
730326061154113550
oct2714360674370364
9441166786860371
10102012032250100
112a560072836605
12b536747245584
1344bc90242401b
141b295a16b6860
15bbd878c8d56a
hex5cc786f1f0f4

102012032250100 has 72 divisors (see below), whose sum is σ = 252991954353600. Its totient is φ = 34975261605120.

The previous prime is 102012032250097. The next prime is 102012032250119. The reversal of 102012032250100 is 1052230210201.

102012032250100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 93613176 + ... + 94696624.

It is an arithmetic number, because the mean of its divisors is an integer number (3513777143800).

Almost surely, 2102012032250100 is an apocalyptic number.

102012032250100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102012032250100 is an abundant number, since it is smaller than the sum of its proper divisors (150979922103500).

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

102012032250100 is a wasteful number, since it uses less digits than its factorization.

102012032250100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1217977 (or 1217970 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

Adding to 102012032250100 its reverse (1052230210201), we get a palindrome (103064262460301).

The spelling of 102012032250100 in words is "one hundred two trillion, twelve billion, thirty-two million, two hundred fifty thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 134507 269014 538028 672535 941549 1083449 1345070 1883098 2166898 2690140 3362675 3766196 4333796 4707745 5417245 6725350 7584143 9415490 10834490 13450700 15168286 18830980 21668980 23538725 27086225 30336572 37920715 47077450 54172450 75841430 94154900 108344900 151682860 189603575 379207150 758414300 145731474643 291462949286 582925898572 728657373215 1020120322501 1457314746430 2040240645002 2914629492860 3643286866075 4080481290004 5100601612505 7286573732150 10201203225010 14573147464300 20402406450020 25503008062525 51006016125050 102012032250100