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103642130304 = 273289967127
BaseRepresentation
bin110000010000110001…
…1010110011110000000
3100220111222221201202200
41200201203112132000
53144224341132204
6115340150313200
710326230400126
oct1404143263600
9326458851680
10103642130304
113aa5530a549
1218105658800
139a09250c2b
145032a59916
152a68d6e539
hex18218d6780

103642130304 has 48 divisors (see below), whose sum is σ = 298241029320. Its totient is φ = 34547376384.

The previous prime is 103642130299. The next prime is 103642130341. The reversal of 103642130304 is 403031246301.

103642130304 is a `hidden beast` number, since 1 + 0 + 3 + 642 + 13 + 0 + 3 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×1036421303043 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 44982412 + ... + 44984715.

Almost surely, 2103642130304 is an apocalyptic number.

It is an amenable number.

103642130304 is an abundant number, since it is smaller than the sum of its proper divisors (194598899016).

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

103642130304 is an equidigital number, since it uses as much as digits as its factorization.

103642130304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89967147 (or 89967132 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 103642130304 its reverse (403031246301), we get a palindrome (506673376605).

The spelling of 103642130304 in words is "one hundred three billion, six hundred forty-two million, one hundred thirty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 89967127 179934254 269901381 359868508 539802762 719737016 809704143 1079605524 1439474032 1619408286 2159211048 2878948064 3238816572 4318422096 5757896128 6477633144 8636844192 11515792256 12955266288 17273688384 25910532576 34547376768 51821065152 103642130304