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101156034323540 = 22572347493077939
BaseRepresentation
bin10111000000000000111001…
…011111100010010001010100
3111021011102101221211212100202
4113000000321133202101110
5101224320024241323130
6555050235102200032
730210165554564450
oct2700007137422124
9437142357755322
10101156034323540
112a260040274869
12b418873283018
134459c85bb6881
141ad9d9a1d1660
15ba647977d145
hex5c00397e2454

101156034323540 has 48 divisors (see below), whose sum is σ = 242775595440000. Its totient is φ = 34681909901952.

The previous prime is 101156034323537. The next prime is 101156034323549. The reversal of 101156034323540 is 45323430651101.

It is a super-3 number, since 3×1011560343235403 (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101156034323494 and 101156034323503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101156034323549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31325891 + ... + 34403829.

It is an arithmetic number, because the mean of its divisors is an integer number (5057824905000).

Almost surely, 2101156034323540 is an apocalyptic number.

101156034323540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101156034323540 is an abundant number, since it is smaller than the sum of its proper divisors (141619561116460).

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

101156034323540 is a wasteful number, since it uses less digits than its factorization.

101156034323540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3312704 (or 3312702 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 38.

Adding to 101156034323540 its reverse (45323430651101), we get a palindrome (146479464974641).

The spelling of 101156034323540 in words is "one hundred one trillion, one hundred fifty-six billion, thirty-four million, three hundred twenty-three thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 234749 469498 938996 1173745 1643243 2347490 3077939 3286486 4694980 6155878 6572972 8216215 12311756 15389695 16432430 21545573 30779390 32864860 43091146 61558780 86182292 107727865 215455730 430911460 722543102311 1445086204622 2890172409244 3612715511555 5057801716177 7225431023110 10115603432354 14450862046220 20231206864708 25289008580885 50578017161770 101156034323540