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100758003112 = 231323167252233
BaseRepresentation
bin101110111010110100…
…1010001110110101000
3100122001222221220001001
41131311221101312220
53122323022044422
6114142041404344
710164606616054
oct1356551216650
9318058856031
10100758003112
11398052a2058
121763b7996b4
139669879bb0
144c3b9b6c64
15294aa68227
hex1775a51da8

100758003112 has 64 divisors (see below), whose sum is σ = 213571572480. Its totient is φ = 44215260672.

The previous prime is 100758003083. The next prime is 100758003121. The reversal of 100758003112 is 211300857001.

It is a super-4 number, since 4×1007580031124 (a number of 45 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 273348 + ... + 525580.

It is an arithmetic number, because the mean of its divisors is an integer number (3337055820).

Almost surely, 2100758003112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100758003112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106785786240).

100758003112 is an abundant number, since it is smaller than the sum of its proper divisors (112813569368).

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

100758003112 is a wasteful number, since it uses less digits than its factorization.

100758003112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252442 (or 252438 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 28.

The spelling of 100758003112 in words is "one hundred billion, seven hundred fifty-eight million, three thousand, one hundred twelve".

Divisors: 1 2 4 8 13 23 26 46 52 92 104 167 184 299 334 598 668 1196 1336 2171 2392 3841 4342 7682 8684 15364 17368 30728 49933 99866 199732 252233 399464 504466 1008932 2017864 3279029 5801359 6558058 11602718 13116116 23205436 26232232 42122911 46410872 75417667 84245822 150835334 168491644 301670668 336983288 547597843 603341336 968826953 1095195686 1937653906 2190391372 3875307812 4380782744 7750615624 12594750389 25189500778 50379001556 100758003112