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100110221022222 = 23323211409934009
BaseRepresentation
bin10110110000110010111010…
…001010011001010000001110
3111010110102222102121121011000
4112300302322022121100032
5101110201213040202342
6552530000045441130
730041503413314325
oct2660627212312016
9433412872547130
10100110221022222
1129997562998584
12b28a0465701a6
1343b247937a918
141aa15094cb0bc
15b8916aec544c
hex5b0cba29940e

100110221022222 has 128 divisors (see below), whose sum is σ = 233810349696000. Its totient is φ = 31690218954240.

The previous prime is 100110221022209. The next prime is 100110221022269. The reversal of 100110221022222 is 222220122011001.

It is a happy number.

100110221022222 is a `hidden beast` number, since 100 + 110 + 2 + 210 + 22 + 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 = 100110221022195 and 100110221022204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 106716354 + ... + 107650362.

It is an arithmetic number, because the mean of its divisors is an integer number (1826643357000).

Almost surely, 2100110221022222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100110221022222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116905174848000).

100110221022222 is an abundant number, since it is smaller than the sum of its proper divisors (133700128673778).

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

100110221022222 is a wasteful number, since it uses less digits than its factorization.

100110221022222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934663 (or 934657 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 100110221022222 its reverse (222220122011001), we get a palindrome (322330343033223).

The spelling of 100110221022222 in words is "one hundred trillion, one hundred ten billion, two hundred twenty-one million, twenty-two thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 138 207 211 409 414 422 621 633 818 1227 1242 1266 1899 2454 3681 3798 4853 5697 7362 9407 9706 11043 11394 14559 18814 22086 28221 29118 43677 56442 84663 86299 87354 131031 169326 172598 253989 258897 262062 507978 517794 776691 934009 1553382 1868018 1984877 2330073 2802027 3969754 4660146 5604054 5954631 8406081 11909262 16812162 17863893 21482207 25218243 35727786 42964414 50436486 53591679 64446621 107183358 128893242 193339863 197075899 382009681 386679726 394151798 580019589 591227697 764019362 1146029043 1160039178 1182455394 1773683091 2292058086 3438087129 3547366182 4532745677 5321049273 6876174258 8786222663 9065491354 10314261387 10642098546 13598237031 17572445326 20628522774 26358667989 27196474062 40794711093 52717335978 79076003967 80604042691 81589422186 122384133279 158152007934 161208085382 237228011901 241812128073 244768266558 474456023802 483624256146 725436384219 1450872768438 1853892981893 2176309152657 3707785963786 4352618305314 5561678945679 11123357891358 16685036837037 33370073674074 50055110511111 100110221022222