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101164130240 = 2653110197997
BaseRepresentation
bin101111000110111011…
…0100001111111000000
3100200010022011021201112
41132031312201333000
53124141004131430
6114250230222452
710210640630135
oct1361566417700
9320108137645
10101164130240
11399a3572408
12177337b4a28
139702a552c4
144c798d458c
15297153c195
hex178dda1fc0

101164130240 has 56 divisors (see below), whose sum is σ = 248667983232. Its totient is φ = 39160304640.

The previous prime is 101164130201. The next prime is 101164130279. The reversal of 101164130240 is 42031461101.

It is an interprime number because it is at equal distance from previous prime (101164130201) and next prime (101164130279).

It is a super-3 number, since 3×1011641302403 (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 7 ways as a sum of consecutive naturals, for example, 5089079 + ... + 5108918.

Almost surely, 2101164130240 is an apocalyptic number.

101164130240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101164130240 is an abundant number, since it is smaller than the sum of its proper divisors (147503852992).

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

101164130240 is a wasteful number, since it uses less digits than its factorization.

101164130240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10198045 (or 10198035 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 101164130240 its reverse (42031461101), we get a palindrome (143195591341).

The spelling of 101164130240 in words is "one hundred one billion, one hundred sixty-four million, one hundred thirty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 155 160 248 310 320 496 620 992 1240 1984 2480 4960 9920 10197997 20395994 40791988 50989985 81583976 101979970 163167952 203959940 316137907 326335904 407919880 632275814 652671808 815839760 1264551628 1580689535 1631679520 2529103256 3161379070 3263359040 5058206512 6322758140 10116413024 12645516280 20232826048 25291032560 50582065120 101164130240