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1131012519952 = 24759173989353
BaseRepresentation
bin10000011101010101100…
…110010111100000010000
311000010100012121000100211
4100131111212113200100
5122012303201114302
62223325135253504
7144466354540420
oct20352546274020
94003305530324
101131012519952
113a672909a277
1216324597a294
1382866b720b3
143ca5419c480
151e648430ad7
hex10755997810

1131012519952 has 80 divisors (see below), whose sum is σ = 2561556228480. Its totient is φ = 473749226496.

The previous prime is 1131012519913. The next prime is 1131012519953. The reversal of 1131012519952 is 2599152101311.

It is not an unprimeable number, because it can be changed into a prime (1131012519953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 648508 + ... + 1637860.

It is an arithmetic number, because the mean of its divisors is an integer number (32019452856).

Almost surely, 21131012519952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1131012519952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1280778114240).

1131012519952 is an abundant number, since it is smaller than the sum of its proper divisors (1430543708528).

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

1131012519952 is a wasteful number, since it uses less digits than its factorization.

1131012519952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 989600 (or 989594 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 40.

The spelling of 1131012519952 in words is "one trillion, one hundred thirty-one billion, twelve million, five hundred nineteen thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 56 59 112 118 173 236 346 413 472 692 826 944 1211 1384 1652 2422 2768 3304 4844 6608 9688 10207 19376 20414 40828 71449 81656 142898 163312 285796 571592 989353 1143184 1978706 3957412 6925471 7914824 13850942 15829648 27701884 55403768 58371827 110807536 116743654 171158069 233487308 342316138 408602789 466974616 684632276 817205578 933949232 1198106483 1369264552 1634411156 2396212966 2738529104 3268822312 4792425932 6537644624 9584851864 10098326071 19169703728 20196652142 40393304284 70688282497 80786608568 141376564994 161573217136 282753129988 565506259976 1131012519952