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101344440132 = 223213216547949
BaseRepresentation
bin101111001100010011…
…0010110111101000100
3100200120212102222101200
41132120212112331010
53130023134041012
6114320151022500
710215260346015
oct1363046267504
9320525388350
10101344440132
1139a86326951
121778406aa30
139731207250
144c9582d00c
1529822a73dc
hex1798996f44

101344440132 has 36 divisors (see below), whose sum is σ = 275882088300. Its totient is φ = 31182904512.

The previous prime is 101344440121. The next prime is 101344440149. The reversal of 101344440132 is 231044443101.

It can be written as a sum of positive squares in 2 ways, for example, as 8810450496 + 92533989636 = 93864^2 + 304194^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 101344440096 and 101344440105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 108273507 + ... + 108274442.

Almost surely, 2101344440132 is an apocalyptic number.

101344440132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101344440132 is an abundant number, since it is smaller than the sum of its proper divisors (174537648168).

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

101344440132 is a wasteful number, since it uses less digits than its factorization.

101344440132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216547972 (or 216547967 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 101344440132 its reverse (231044443101), we get a palindrome (332388883233).

The spelling of 101344440132 in words is "one hundred one billion, three hundred forty-four million, four hundred forty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 216547949 433095898 649643847 866191796 1299287694 1948931541 2598575388 2815123337 3897863082 5630246674 7795726164 8445370011 11260493348 16890740022 25336110033 33781480044 50672220066 101344440132