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112434032100 = 2235213173166643
BaseRepresentation
bin110100010110110010…
…1110010110111100100
3101202012201110121201010
41220231211302313210
53320231103011400
6123352415302220
711060135334645
oct1505545626744
9352181417633
10112434032100
1143757097495
1219959b1a970
13a7aa86cba0
1456285816cc
152dd0b42450
hex1a2d972de4

112434032100 has 144 divisors (see below), whose sum is σ = 352360072512. Its totient is φ = 27515927040.

The previous prime is 112434031993. The next prime is 112434032111. The reversal of 112434032100 is 1230434211.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 591379 + ... + 758021.

It is an arithmetic number, because the mean of its divisors is an integer number (2446944948).

Almost surely, 2112434032100 is an apocalyptic number.

112434032100 is a gapful number since it is divisible by the number (10) 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 112434032100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176180036256).

112434032100 is an abundant number, since it is smaller than the sum of its proper divisors (239926040412).

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

112434032100 is a wasteful number, since it uses less digits than its factorization.

112434032100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166846 (or 166839 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 112434032100 its reverse (1230434211), we get a palindrome (113664466311).

The spelling of 112434032100 in words is "one hundred twelve billion, four hundred thirty-four million, thirty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 173 195 260 300 325 346 390 519 650 692 780 865 975 1038 1300 1730 1950 2076 2249 2595 3460 3900 4325 4498 5190 6747 8650 8996 10380 11245 12975 13494 17300 22490 25950 26988 33735 44980 51900 56225 67470 112450 134940 166643 168675 224900 333286 337350 499929 666572 674700 833215 999858 1666430 1999716 2166359 2499645 3332860 4166075 4332718 4999290 6499077 8332150 8665436 9998580 10831795 12498225 12998154 16664300 21663590 24996450 25996308 28829239 32495385 43327180 49992900 54158975 57658478 64990770 86487717 108317950 115316956 129981540 144146195 162476925 172975434 216635900 288292390 324953850 345950868 374780107 432438585 576584780 649907700 720730975 749560214 864877170 1124340321 1441461950 1499120428 1729754340 1873900535 2162192925 2248680642 2882923900 3747801070 4324385850 4497361284 5621701605 7495602140 8648771700 9369502675 11243403210 18739005350 22486806420 28108508025 37478010700 56217016050 112434032100