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1052311015512 = 233331357127259
BaseRepresentation
bin11110101000000101001…
…11111101000001011000
310201121012100211100102000
433110002213331001120
5114220113104444022
62123231445041000
7136012151022231
oct17240247750130
93647170740360
101052311015512
11376312153119
1214bb409b6160
1378303a69563
1438d09a72088
151c58de566ac
hexf5029fd058

1052311015512 has 128 divisors (see below), whose sum is σ = 2937668448000. Its totient is φ = 349024515840.

The previous prime is 1052311015493. The next prime is 1052311015517. The reversal of 1052311015512 is 2155101132501.

It is a happy number.

1052311015512 is a `hidden beast` number, since 1 + 0 + 5 + 2 + 3 + 1 + 101 + 551 + 2 = 666.

It is a super-2 number, since 2×10523110155122 (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1052311015517) 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 31 ways as a sum of consecutive naturals, for example, 38590539 + ... + 38617797.

It is an arithmetic number, because the mean of its divisors is an integer number (22950534750).

Almost surely, 21052311015512 is an apocalyptic number.

1052311015512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1052311015512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1468834224000).

1052311015512 is an abundant number, since it is smaller than the sum of its proper divisors (1885357432488).

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

1052311015512 is a wasteful number, since it uses less digits than its factorization.

1052311015512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28158 (or 28148 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 27.

The spelling of 1052311015512 in words is "one trillion, fifty-two billion, three hundred eleven million, fifteen thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 313 571 626 939 1142 1252 1713 1878 2284 2504 2817 3426 3756 4568 5139 5634 6852 7512 8451 10278 11268 13704 15417 16902 20556 22536 27259 30834 33804 41112 54518 61668 67608 81777 109036 123336 163554 178723 218072 245331 327108 357446 490662 536169 654216 714892 735993 981324 1072338 1429784 1471986 1608507 1962648 2144676 2943972 3217014 4289352 4825521 5887944 6434028 8532067 9651042 12868056 15564889 17064134 19302084 25596201 31129778 34128268 38604168 46694667 51192402 62259556 68256536 76788603 93389334 102384804 124519112 140084001 153577206 186778668 204769608 230365809 280168002 307154412 373557336 420252003 460731618 560336004 614308824 840504006 921463236 1120672008 1681008012 1842926472 3362016024 4871810257 9743620514 14615430771 19487241028 29230861542 38974482056 43846292313 58461723084 87692584626 116923446168 131538876939 175385169252 263077753878 350770338504 526155507756 1052311015512