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112041100864 = 26711171337389
BaseRepresentation
bin110100001011000101…
…0111000011001000000
3101201012100002122101101
41220112022320121000
53313430010211424
6123245421344144
711044324433560
oct1502612703100
9351170078341
10112041100864
114357530a430
121986a408054
13a747334bb4
1455cc2dada0
152dab3c8344
hex1a162b8640

112041100864 has 112 divisors (see below), whose sum is σ = 293498259840. Its totient is φ = 41084559360.

The previous prime is 112041100861. The next prime is 112041100883. The reversal of 112041100864 is 468001140211.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (112041100861) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 584919 + ... + 752470.

Almost surely, 2112041100864 is an apocalyptic number.

112041100864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

112041100864 is an abundant number, since it is smaller than the sum of its proper divisors (181457158976).

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

112041100864 is a wasteful number, since it uses less digits than its factorization.

112041100864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1337436 (or 1337426 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 28.

The spelling of 112041100864 in words is "one hundred twelve billion, forty-one million, one hundred thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 11 14 16 17 22 28 32 34 44 56 64 68 77 88 112 119 136 154 176 187 224 238 272 308 352 374 448 476 544 616 704 748 952 1088 1232 1309 1496 1904 2464 2618 2992 3808 4928 5236 5984 7616 10472 11968 20944 41888 83776 1337389 2674778 5349556 9361723 10699112 14711279 18723446 21398224 22735613 29422558 37446892 42796448 45471226 58845116 74893784 85592896 90942452 102978953 117690232 149787568 159149291 181884904 205957906 235380464 250091743 299575136 318298582 363769808 411915812 470760928 500183486 599150272 636597164 727539616 823831624 941521856 1000366972 1273194328 1455079232 1647663248 1750642201 2000733944 2546388656 3295326496 3501284402 4001467888 5092777312 6590652992 7002568804 8002935776 10185554624 14005137608 16005871552 28010275216 56020550432 112041100864