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100612206114 = 2378937372161
BaseRepresentation
bin101110110110011110…
…1000110111000100010
3100121200211121122011020
41131230331012320202
53122023211043424
6114115352430310
710161156432660
oct1355475067042
9317624548136
10100612206114
113973aa70672
12175ba9a8396
1396455c0094
144c264a3c30
15293cd69079
hex176cf46e22

100612206114 has 64 divisors (see below), whose sum is σ = 233181400320. Its totient is φ = 28346757120.

The previous prime is 100612206113. The next prime is 100612206131. The reversal of 100612206114 is 411602216001.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (100612206113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1358194 + ... + 1430354.

It is an arithmetic number, because the mean of its divisors is an integer number (3643459380).

Almost surely, 2100612206114 is an apocalyptic number.

100612206114 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 100612206114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116590700160).

100612206114 is an abundant number, since it is smaller than the sum of its proper divisors (132569194206).

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

100612206114 is a wasteful number, since it uses less digits than its factorization.

100612206114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72635.

The product of its (nonzero) digits is 576, while the sum is 24.

The spelling of 100612206114 in words is "one hundred billion, six hundred twelve million, two hundred six thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 89 178 267 373 534 623 746 1119 1246 1869 2238 2611 3738 5222 7833 15666 33197 66394 72161 99591 144322 199182 216483 232379 432966 464758 505127 697137 1010254 1394274 1515381 3030762 6422329 12844658 19266987 26916053 38533974 44956303 53832106 80748159 89912606 134868909 161496318 188412371 269737818 376824742 565237113 1130474226 2395528717 4791057434 7186586151 14373172302 16768701019 33537402038 50306103057 100612206114