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100430234212 = 2271117140913613
BaseRepresentation
bin101110110001000011…
…0111100001001100100
3100121020011012111122011
41131202012330021210
53121140114443322
6114045332244004
710153516622440
oct1354206741144
9317204174564
10100430234212
1139657281470
1217569a70604
1396169a87b9
144c0a255820
15292bdc1677
hex17621bc264

100430234212 has 96 divisors (see below), whose sum is σ = 232191671040. Its totient is φ = 36798136320.

The previous prime is 100430234189. The next prime is 100430234221. The reversal of 100430234212 is 212432034001.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7370718 + ... + 7384330.

It is an arithmetic number, because the mean of its divisors is an integer number (2418663240).

Almost surely, 2100430234212 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 100430234212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116095835520).

100430234212 is an abundant number, since it is smaller than the sum of its proper divisors (131761436828).

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

100430234212 is a wasteful number, since it uses less digits than its factorization.

100430234212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15061 (or 15059 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 100430234212 its reverse (212432034001), we get a palindrome (312862268213).

The spelling of 100430234212 in words is "one hundred billion, four hundred thirty million, two hundred thirty-four thousand, two hundred twelve".

Divisors: 1 2 4 7 11 14 17 22 28 34 44 68 77 119 154 187 238 308 374 476 748 1309 1409 2618 2818 5236 5636 9863 13613 15499 19726 23953 27226 30998 39452 47906 54452 61996 95291 95812 108493 149743 167671 190582 216986 231421 263483 299486 335342 381164 433972 462842 526966 598972 670684 925684 1048201 1053932 1619947 1844381 2096402 2545631 3239894 3688762 4192804 5091262 6479788 7377524 10182524 17819417 19180717 35638834 38361434 71277668 76722868 134265019 210987887 268530038 326072189 421975774 537060076 652144378 843951548 1304288756 1476915209 2282505323 2953830418 3586794079 4565010646 5907660836 7173588158 9130021292 14347176316 25107558553 50215117106 100430234212