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10010311030314 = 23573139400889
BaseRepresentation
bin1001000110101011010100…
…0010000111011000101010
31022102222100210020212100000
42101222311002013120222
52303002104110432224
633142401242123430
72052135560556210
oct221526502073052
938388323225300
1010010311030314
11320a392676781
121158094ab0576
13577c784062aa
142687046d6cb0
151255d028d0c9
hex91ab508762a

10010311030314 has 96 divisors (see below), whose sum is σ = 25787618962560. Its totient is φ = 2850950898432.

The previous prime is 10010311030309. The next prime is 10010311030397. The reversal of 10010311030314 is 41303011301001.

10010311030314 is a `hidden beast` number, since 1 + 0 + 0 + 10 + 311 + 0 + 30 + 314 = 666.

It is a super-2 number, since 2×100103110303142 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3635619 + ... + 5765270.

It is an arithmetic number, because the mean of its divisors is an integer number (268621030860).

Almost surely, 210010311030314 is an apocalyptic number.

10010311030314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

10010311030314 is an abundant number, since it is smaller than the sum of its proper divisors (15777307932246).

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

10010311030314 is an equidigital number, since it uses as much as digits as its factorization.

10010311030314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9401226 (or 9401214 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10010311030314 its reverse (41303011301001), we get a palindrome (51313322331315).

The spelling of 10010311030314 in words is "ten trillion, ten billion, three hundred eleven million, thirty thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 243 313 378 486 567 626 939 1134 1701 1878 2191 2817 3402 4382 5634 6573 8451 13146 16902 19719 25353 39438 50706 59157 76059 118314 152118 177471 354942 532413 1064826 9400889 18801778 28202667 56405334 65806223 84608001 131612446 169216002 197418669 253824003 394837338 507648006 592256007 761472009 1184512014 1522944018 1776768021 2284416027 2942478257 3553536042 4568832054 5330304063 5884956514 8827434771 10660608126 15990912189 17654869542 20597347799 26482304313 31981824378 41194695598 52964608626 61792043397 79446912939 123584086794 158893825878 185376130191 238340738817 370752260382 476681477634 556128390573 715022216451 1112256781146 1430044432902 1668385171719 3336770343438 5005155515157 10010311030314