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100212033054 = 2376156968743
BaseRepresentation
bin101110101010100011…
…0100100011000011110
3100120122221121201220210
41131111012210120132
53120213240024204
6114011535353250
710145230140450
oct1352506443036
9316587551823
10100212033054
1139555097731
1217508982826
1395b071aaa3
144bc92962d0
152917b6e389
hex17551a461e

100212033054 has 64 divisors (see below), whose sum is σ = 233223644160. Its totient is φ = 28112728320.

The previous prime is 100212033043. The next prime is 100212033067. The reversal of 100212033054 is 450330212001.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 100212033054.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1423407 + ... + 1492149.

It is an arithmetic number, because the mean of its divisors is an integer number (3644119440).

Almost surely, 2100212033054 is an apocalyptic number.

100212033054 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100212033054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116611822080).

100212033054 is an abundant number, since it is smaller than the sum of its proper divisors (133011611106).

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

100212033054 is a wasteful number, since it uses less digits than its factorization.

100212033054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69385.

The product of its (nonzero) digits is 720, while the sum is 21.

Adding to 100212033054 its reverse (450330212001), we get a palindrome (550542245055).

The spelling of 100212033054 in words is "one hundred billion, two hundred twelve million, thirty-three thousand, fifty-four".

Divisors: 1 2 3 6 7 14 21 42 61 122 183 366 427 569 854 1138 1281 1707 2562 3414 3983 7966 11949 23898 34709 68743 69418 104127 137486 206229 208254 242963 412458 481201 485926 728889 962402 1443603 1457778 2887206 4193323 8386646 12579969 25159938 29353261 39114767 58706522 78229534 88059783 117344301 176119566 234688602 273803369 547606738 821410107 1642820214 2386000787 4772001574 7158002361 14316004722 16702005509 33404011018 50106016527 100212033054