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1320525111256 = 2313232923478111
BaseRepresentation
bin10011001101110101011…
…011100001111111011000
311200020111122222010200221
4103031311123201333120
5133113413412030011
62450350232005424
7164255562150031
oct23156533417730
94606448863627
101320525111256
1146a038aaa05a
12193b15230874
13976a9509ba0
1447cb14c1a88
152453ad19971
hex133756e1fd8

1320525111256 has 128 divisors (see below), whose sum is σ = 2879902771200. Its totient is φ = 562562542080.

The previous prime is 1320525111251. The next prime is 1320525111271. The reversal of 1320525111256 is 6521115250231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1320525111251) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 162802641 + ... + 162810751.

It is an arithmetic number, because the mean of its divisors is an integer number (22499240400).

Almost surely, 21320525111256 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 1320525111256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1439951385600).

1320525111256 is an abundant number, since it is smaller than the sum of its proper divisors (1559377659944).

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

1320525111256 is a wasteful number, since it uses less digits than its factorization.

1320525111256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10529 (or 10525 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 34.

The spelling of 1320525111256 in words is "one trillion, three hundred twenty billion, five hundred twenty-five million, one hundred eleven thousand, two hundred fifty-six".

Divisors: 1 2 4 8 13 23 26 29 46 52 58 92 104 116 184 232 299 377 598 667 754 1196 1334 1508 2347 2392 2668 3016 4694 5336 8111 8671 9388 16222 17342 18776 30511 32444 34684 53981 61022 64888 68063 69368 105443 107962 122044 136126 186553 210886 215924 235219 244088 272252 373106 421772 431848 470438 544504 701753 746212 843544 884819 940876 1403506 1492424 1565449 1769638 1881752 2425189 2807012 3057847 3130898 3539276 4850378 5410037 5614024 6115694 6261796 7078552 9700756 10820074 12231388 12523592 19036517 19401512 20350837 21640148 24462776 38073034 40701674 43280296 70330481 76146068 81403348 140660962 152292136 162806696 247474721 281321924 437839891 494949442 552058993 562643848 875679782 989898884 1104117986 1751359564 1979797768 2208235972 3502719128 4416471944 5691918583 7176766909 11383837166 12697356839 14353533818 22767674332 25394713678 28707067636 45535348664 50789427356 57414135272 101578854712 165065638907 330131277814 660262555628 1320525111256