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101054235042 = 2335413459103
BaseRepresentation
bin101111000011101001…
…1010100000110100010
3100122211122101000212000
41132013103110012202
53123424341010132
6114231302544430
710205134553025
oct1360723240642
9318748330760
10101054235042
1139947532532
1217702a38116
1396b6058867
144c690891bc
152966a8087c
hex17874d41a2

101054235042 has 32 divisors (see below), whose sum is σ = 224980124160. Its totient is φ = 33622471440.

The previous prime is 101054235011. The next prime is 101054235047. The reversal of 101054235042 is 240532450101.

101054235042 is a `hidden beast` number, since 10 + 105 + 42 + 3 + 504 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 101054234997 and 101054235015.

It is not an unprimeable number, because it can be changed into a prime (101054235047) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1700338 + ... + 1758765.

It is an arithmetic number, because the mean of its divisors is an integer number (7030628880).

Almost surely, 2101054235042 is an apocalyptic number.

101054235042 is an abundant number, since it is smaller than the sum of its proper divisors (123925889118).

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

101054235042 is a wasteful number, since it uses less digits than its factorization.

101054235042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3459655 (or 3459649 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 101054235042 its reverse (240532450101), we get a palindrome (341586685143).

The spelling of 101054235042 in words is "one hundred one billion, fifty-four million, two hundred thirty-five thousand, forty-two".

Divisors: 1 2 3 6 9 18 27 54 541 1082 1623 3246 4869 9738 14607 29214 3459103 6918206 10377309 20754618 31131927 62263854 93395781 186791562 1871374723 3742749446 5614124169 11228248338 16842372507 33684745014 50527117521 101054235042