Search a number
-
+
102111429312 = 2632177276787
BaseRepresentation
bin101111100011001010…
…0001100001011000000
3100202120022200001202100
41133012110030023000
53133111011214222
6114524230150400
710243262554044
oct1370624141300
9322508601670
10102111429312
113a33a270202
1217958ab2400
13982409c8b9
144d29644024
1529c97ad4ac
hex17c650c2c0

102111429312 has 42 divisors (see below), whose sum is σ = 292683976988. Its totient is φ = 34037142912.

The previous prime is 102111429311. The next prime is 102111429331. The reversal of 102111429312 is 213924111201.

102111429312 is a `hidden beast` number, since 10 + 211 + 1 + 429 + 3 + 12 = 666.

It is a super-2 number, since 2×1021114293122 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102111429311) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 88637818 + ... + 88638969.

Almost surely, 2102111429312 is an apocalyptic number.

102111429312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102111429312 is an abundant number, since it is smaller than the sum of its proper divisors (190572547676).

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

102111429312 is a wasteful number, since it uses less digits than its factorization.

102111429312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177276805 (or 177276792 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 102111429312 in words is "one hundred two billion, one hundred eleven million, four hundred twenty-nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 177276787 354553574 531830361 709107148 1063660722 1418214296 1595491083 2127321444 2836428592 3190982166 4254642888 5672857184 6381964332 8509285776 11345714368 12763928664 17018571552 25527857328 34037143104 51055714656 102111429312