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100102222020222 = 232293735314682391
BaseRepresentation
bin10110110000101011011101…
…011000100111111001111110
3111010102200022222002012020200
4112300223131120213321332
5101110033322314121342
6552522154223224330
730041101244031642
oct2660533530477176
9433380288065220
10100102222020222
1129994128741a24
12b2885937480a6
1343b17a30c6b46
141aa0d8b002c22
15b88d4db2594c
hex5b0add627e7e

100102222020222 has 96 divisors (see below), whose sum is σ = 231083818505280. Its totient is φ = 31257281341440.

The previous prime is 100102222020187. The next prime is 100102222020263. The reversal of 100102222020222 is 222020222201001.

100102222020222 is a `hidden beast` number, since 10 + 0 + 10 + 222 + 202 + 0 + 222 = 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 = 100102222020195 and 100102222020204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 523354 + ... + 14159037.

It is an arithmetic number, because the mean of its divisors is an integer number (2407123109430).

Almost surely, 2100102222020222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100102222020222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115541909252640).

100102222020222 is an abundant number, since it is smaller than the sum of its proper divisors (130981596485058).

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

100102222020222 is a wasteful number, since it uses less digits than its factorization.

100102222020222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14682818 (or 14682815 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 100102222020222 its reverse (222020222201001), we get a palindrome (322122444221223).

The spelling of 100102222020222 in words is "one hundred trillion, one hundred two billion, two hundred twenty-two million, twenty thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 29 37 58 74 87 111 174 222 261 333 353 522 666 706 1059 1073 2118 2146 3177 3219 6354 6438 9657 10237 13061 19314 20474 26122 30711 39183 61422 78366 92133 117549 184266 235098 378769 757538 1136307 2272614 3408921 6817842 14682391 29364782 44047173 88094346 132141519 264283038 425789339 543248467 851578678 1086496934 1277368017 1629745401 2554736034 3259490802 3832104051 4889236203 5182884023 7664208102 9778472406 10365768046 15548652069 15754205543 31097304138 31508411086 46645956207 47262616629 93291912414 94525233258 141787849887 150303636667 191766708851 283575699774 300607273334 383533417702 450910910001 575300126553 901821820002 1150600253106 1352732730003 1725900379659 2705465460006 3451800759318 5561234556679 11122469113358 16683703670037 33367407340074 50051111010111 100102222020222