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100112002434 = 23323276729131
BaseRepresentation
bin101110100111100100…
…0111110110110000010
3100120101222101122201000
41131033020332312002
53120012133034214
6113554003352430
710142603660133
oct1351710766602
9316358348630
10100112002434
11395036851a4
121749b382716
139595a96382
144bb9c97c8a
15290deb0809
hex174f23ed82

100112002434 has 64 divisors (see below), whose sum is σ = 232235642880. Its totient is φ = 31907137680.

The previous prime is 100112002427. The next prime is 100112002469. The reversal of 100112002434 is 434200211001.

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

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, 3422049 + ... + 3451179.

It is an arithmetic number, because the mean of its divisors is an integer number (3628681920).

Almost surely, 2100112002434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100112002434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116117821440).

100112002434 is an abundant number, since it is smaller than the sum of its proper divisors (132123640446).

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

100112002434 is a wasteful number, since it uses less digits than its factorization.

100112002434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31932 (or 31926 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 100112002434 its reverse (434200211001), we get a palindrome (534312213435).

The spelling of 100112002434 in words is "one hundred billion, one hundred twelve million, two thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 138 207 414 621 1242 2767 5534 8301 16602 24903 29131 49806 58262 63641 74709 87393 127282 149418 174786 190923 262179 381846 524358 572769 670013 786537 1145538 1340026 1573074 1718307 2010039 3436614 4020078 6030117 12060234 18090351 36180702 80605477 161210954 241816431 483632862 725449293 1450898586 1853925971 2176347879 3707851942 4352695758 5561777913 11123555826 16685333739 33370667478 50056001217 100112002434