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100354505412 = 223712740123459
BaseRepresentation
bin101110101110110011…
…0000011101011000100
3100121000212201002020210
41131131212003223010
53121011223133122
6114034025155420
710151610135660
oct1353546035304
9317025632223
10100354505412
1139618558287
121754862bb70
1396040b2565
144c001818a0
15292541340c
hex175d983ac4

100354505412 has 96 divisors (see below), whose sum is σ = 270403338240. Its totient is φ = 28374796800.

The previous prime is 100354505411. The next prime is 100354505429. The reversal of 100354505412 is 214505453001.

It is a self number, because there is not a number n which added to its sum of digits gives 100354505412.

It is not an unprimeable number, because it can be changed into a prime (100354505411) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 4266139 + ... + 4289597.

It is an arithmetic number, because the mean of its divisors is an integer number (2816701440).

Almost surely, 2100354505412 is an apocalyptic number.

100354505412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100354505412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135201669120).

100354505412 is an abundant number, since it is smaller than the sum of its proper divisors (170048832828).

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

100354505412 is a wasteful number, since it uses less digits than its factorization.

100354505412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24001 (or 23999 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

Adding to 100354505412 its reverse (214505453001), we get a palindrome (314859958413).

The spelling of 100354505412 in words is "one hundred billion, three hundred fifty-four million, five hundred five thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 127 254 381 401 508 762 802 889 1203 1524 1604 1778 2406 2667 2807 3556 4812 5334 5614 8421 10668 11228 16842 23459 33684 46918 50927 70377 93836 101854 140754 152781 164213 203708 281508 305562 328426 356489 492639 611124 656852 712978 985278 1069467 1425956 1970556 2138934 2979293 4277868 5958586 8937879 9407059 11917172 17875758 18814118 20855051 28221177 35751516 37628236 41710102 56442354 62565153 65849413 83420204 112884708 125130306 131698826 197548239 250260612 263397652 395096478 790192956 1194696493 2389392986 3584089479 4778785972 7168178958 8362875451 14336357916 16725750902 25088626353 33451501804 50177252706 100354505412