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132100110222444 = 2232713149270628181
BaseRepresentation
bin11110000010010011110100…
…001001010000010001101100
3122022201122110210220100202100
4132002103310021100101230
5114303312011204104234
61144541541452255100
736552626610104340
oct3602236411202154
9568648423810670
10132100110222444
1139100384417941
1212995a77771490
135892caa40b670
1424899725a1620
1510413612d4399
hex7824f425046c

132100110222444 has 144 divisors (see below), whose sum is σ = 413736364641600. Its totient is φ = 34605766632960.

The previous prime is 132100110222391. The next prime is 132100110222499. The reversal of 132100110222444 is 444222011001231.

132100110222444 is a `hidden beast` number, since 1 + 3 + 2 + 100 + 110 + 2 + 2 + 2 + 444 = 666.

It is a super-2 number, since 2×1321001102224442 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 134825967 + ... + 135802214.

It is an arithmetic number, because the mean of its divisors is an integer number (2873169198900).

Almost surely, 2132100110222444 is an apocalyptic number.

132100110222444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

132100110222444 is an abundant number, since it is smaller than the sum of its proper divisors (281636254419156).

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

132100110222444 is a wasteful number, since it uses less digits than its factorization.

132100110222444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270628360 (or 270628355 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 132100110222444 its reverse (444222011001231), we get a palindrome (576322121223675).

The spelling of 132100110222444 in words is "one hundred thirty-two trillion, one hundred billion, one hundred ten million, two hundred twenty-two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 149 156 182 234 252 273 298 364 447 468 546 596 819 894 1043 1092 1341 1638 1788 1937 2086 2682 3129 3276 3874 4172 5364 5811 6258 7748 9387 11622 12516 13559 17433 18774 23244 27118 34866 37548 40677 54236 69732 81354 122031 162708 244062 488124 270628181 541256362 811884543 1082512724 1623769086 1894397267 2435653629 3247538172 3518166353 3788794534 4871307258 5683191801 7036332706 7577589068 9742614516 10554499059 11366383602 14072665412 17049575403 21108998118 22732767204 24627164471 31663497177 34099150806 40323598969 42217996236 49254328942 63326994354 68198301612 73881493413 80647197938 98508657884 120970796907 126653988708 147762986826 161294395876 221644480239 241941593814 282265192783 295525973652 362912390721 443288960478 483883187628 524206786597 564530385566 725824781442 846795578349 886577920956 1048413573194 1129060771132 1451649562884 1572620359791 1693591156698 2096827146388 2540386735047 3145240719582 3387182313396 3669447506179 4717861079373 5080773470094 6290481439164 7338895012358 9435722158746 10161546940188 11008342518537 14677790024716 18871444317492 22016685037074 33025027555611 44033370074148 66050055111222 132100110222444