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101452428324 = 223213465746549
BaseRepresentation
bin101111001111100001…
…0010011010000100100
3100200212101122100100100
41132133002103100210
53130233310201244
6114335005344100
710221041261262
oct1363702232044
9320771570310
10101452428324
113a031283a95
12177b4268030
13974a6b69a0
144ca5cdd432
15298b9d8b69
hex179f093424

101452428324 has 72 divisors (see below), whose sum is σ = 276241292600. Its totient is φ = 31208758272.

The previous prime is 101452428293. The next prime is 101452428361. The reversal of 101452428324 is 423824254101.

101452428324 is a `hidden beast` number, since 101 + 4 + 524 + 2 + 8 + 3 + 24 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8348111424 + 93104316900 = 91368^2 + 305130^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2156202 + ... + 2202750.

Almost surely, 2101452428324 is an apocalyptic number.

It is an amenable number.

101452428324 is an abundant number, since it is smaller than the sum of its proper divisors (174788864276).

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

101452428324 is a wasteful number, since it uses less digits than its factorization.

101452428324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51229 (or 51224 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 101452428324 in words is "one hundred one billion, four hundred fifty-two million, four hundred twenty-eight thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 4657 9314 13971 18628 27942 41913 46549 55884 60541 83826 93098 121082 139647 167652 181623 186196 242164 279294 363246 418941 544869 558588 605137 726492 837882 1089738 1210274 1675764 1815411 2179476 2420548 3630822 5446233 7261644 10892466 21784932 216778693 433557386 650336079 867114772 1300672158 1951008237 2601344316 2818123009 3902016474 5636246018 7804032948 8454369027 11272492036 16908738054 25363107081 33817476108 50726214162 101452428324