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101641453136 = 2417725351521
BaseRepresentation
bin101111010101001001…
…1010111111001010000
3100201100120022210122022
41132222103113321100
53131130203000021
6114405441031012
710225525045106
oct1365223277120
9321316283568
10101641453136
113a118a50143
1217847625468
13977a8ca5a2
144cc3065c76
15299d3c61ab
hex17aa4d7e50

101641453136 has 40 divisors (see below), whose sum is σ = 208547248104. Its totient is φ = 47823749120.

The previous prime is 101641453127. The next prime is 101641453141. The reversal of 101641453136 is 631354146101.

It can be written as a sum of positive squares in 4 ways, for example, as 7235203600 + 94406249536 = 85060^2 + 307256^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101641453096 and 101641453105.

It is a congruent number.

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, 1947056 + ... + 1998576.

Almost surely, 2101641453136 is an apocalyptic number.

101641453136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

101641453136 is an abundant number, since it is smaller than the sum of its proper divisors (106905794968).

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

101641453136 is a wasteful number, since it uses less digits than its factorization.

101641453136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58799 (or 58793 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

Adding to 101641453136 its reverse (631354146101), we get a palindrome (732995599237).

The spelling of 101641453136 in words is "one hundred one billion, six hundred forty-one million, four hundred fifty-three thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 17 34 68 136 272 7253 14506 29012 51521 58024 103042 116048 123301 206084 246602 412168 493204 824336 875857 986408 1751714 1972816 3503428 7006856 14013712 373681813 747363626 1494727252 2989454504 5978909008 6352590821 12705181642 25410363284 50820726568 101641453136