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100133023212 = 223217448336497
BaseRepresentation
bin101110101000001100…
…1001010110111101100
3100120110102221121210100
41131100121022313230
53120033023220322
6114000034111100
710143250440165
oct1352031126754
9316412847710
10100133023212
1139514532442
12174a641b490
13959a2462c1
144bbc9aa76c
152910c63dac
hex175064adec

100133023212 has 72 divisors (see below), whose sum is σ = 268070218416. Its totient is φ = 31406413824.

The previous prime is 100133023157. The next prime is 100133023253. The reversal of 100133023212 is 212320331001.

100133023212 is a `hidden beast` number, since 10 + 0 + 1 + 330 + 2 + 321 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 23 ways as a sum of consecutive naturals, for example, 2725348 + ... + 2761844.

It is an arithmetic number, because the mean of its divisors is an integer number (3723197478).

Almost surely, 2100133023212 is an apocalyptic number.

100133023212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100133023212 is an abundant number, since it is smaller than the sum of its proper divisors (167937195204).

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

100133023212 is a wasteful number, since it uses less digits than its factorization.

100133023212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41007 (or 41002 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 100133023212 its reverse (212320331001), we get a palindrome (312453354213).

The spelling of 100133023212 in words is "one hundred billion, one hundred thirty-three million, twenty-three thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 4483 8966 13449 17932 26898 36497 40347 53796 72994 76211 80694 109491 145988 152422 161388 218982 228633 304844 328473 437964 457266 620449 656946 685899 914532 1240898 1313892 1371798 1861347 2481796 2743596 3722694 5584041 7445388 11168082 22336164 163616051 327232102 490848153 654464204 981696306 1472544459 1963392612 2781472867 2945088918 5562945734 5890177836 8344418601 11125891468 16688837202 25033255803 33377674404 50066511606 100133023212