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101063530765530 = 232514935321349661
BaseRepresentation
bin10110111110101010101111…
…110110011101110011011010
3111020211120122020002020021200
4112332222233312131303122
5101221311102333444110
6554535540050015030
730200412335403114
oct2676525766356332
9436746566066250
10101063530765530
112a22489143a573
12b402957b77476
1344513334ba828
141ad57029d83b4
15ba3d637216c0
hex5beaafd9dcda

101063530765530 has 96 divisors (see below), whose sum is σ = 265278090214800. Its totient is φ = 26693565296640.

The previous prime is 101063530765507. The next prime is 101063530765541. The reversal of 101063530765530 is 35567035360101.

101063530765530 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 6 + 3 + 53 + 0 + 7 + 65 + 530 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 22055449720329 + 79008081045201 = 4696323^2 + 8888649^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5941101 + ... + 15408560.

Almost surely, 2101063530765530 is an apocalyptic number.

101063530765530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101063530765530 is an abundant number, since it is smaller than the sum of its proper divisors (164214559449270).

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

101063530765530 is a wasteful number, since it uses less digits than its factorization.

101063530765530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21350176 (or 21350173 counting only the distinct ones).

The product of its (nonzero) digits is 850500, while the sum is 45.

The spelling of 101063530765530 in words is "one hundred one trillion, sixty-three billion, five hundred thirty million, seven hundred sixty-five thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 149 298 353 447 706 745 894 1059 1341 1490 1765 2118 2235 2682 3177 3530 4470 5295 6354 6705 10590 13410 15885 31770 52597 105194 157791 262985 315582 473373 525970 788955 946746 1577910 2366865 4733730 21349661 42699322 64048983 106748305 128097966 192146949 213496610 320244915 384293898 640489830 960734745 1921469490 3181099489 6362198978 7536430333 9543298467 15072860666 15905497445 19086596934 22609290999 28629895401 31810994890 37682151665 45218581998 47716492335 57259790802 67827872997 75364303330 95432984670 113046454995 135655745994 143149477005 226092909990 286298954010 339139364985 678278729970 1122928119617 2245856239234 3368784358851 5614640598085 6737568717702 10106353076553 11229281196170 16843921794255 20212706153106 33687843588510 50531765382765 101063530765530