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101153532064 = 2513613986189
BaseRepresentation
bin101111000110100111…
…0000110100010100000
3100200002120012211202111
41132031032012202200
53124130301011224
6114245211125104
710210451556514
oct1361516064240
9320076184674
10101153532064
1139998593892
1217730143794
1397007b43b0
144c78336144
152970646d94
hex178d3868a0

101153532064 has 48 divisors (see below), whose sum is σ = 217980813960. Its totient is φ = 45920885760.

The previous prime is 101153532047. The next prime is 101153532083. The reversal of 101153532064 is 460235351101.

It can be written as a sum of positive squares in 4 ways, for example, as 45749787664 + 55403744400 = 213892^2 + 235380^2 .

It is a super-2 number, since 2×1011535320642 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1967719 + ... + 2018470.

Almost surely, 2101153532064 is an apocalyptic number.

It is an amenable number.

101153532064 is an abundant number, since it is smaller than the sum of its proper divisors (116827281896).

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

101153532064 is a wasteful number, since it uses less digits than its factorization.

101153532064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3986273 (or 3986265 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 31.

Adding to 101153532064 its reverse (460235351101), we get a palindrome (561388883165).

The spelling of 101153532064 in words is "one hundred one billion, one hundred fifty-three million, five hundred thirty-two thousand, sixty-four".

Divisors: 1 2 4 8 13 16 26 32 52 61 104 122 208 244 416 488 793 976 1586 1952 3172 6344 12688 25376 3986189 7972378 15944756 31889512 51820457 63779024 103640914 127558048 207281828 243157529 414563656 486315058 829127312 972630116 1658254624 1945260232 3161047877 3890520464 6322095754 7781040928 12644191508 25288383016 50576766032 101153532064