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1131265656 = 233310948049
BaseRepresentation
bin100001101101101…
…1011111001111000
32220211200020202000
41003123123321320
54304101000111
6304130541000
740014412413
oct10333337170
92824606660
101131265656
1153062a6a4
12276a37760
131504a9a81
14aa35ab7a
15694aec56
hex436dbe78

1131265656 has 64 divisors (see below), whose sum is σ = 3171300000. Its totient is φ = 373621248.

The previous prime is 1131265633. The next prime is 1131265657. The reversal of 1131265656 is 6565621311.

It is a super-2 number, since 2×11312656562 = 2559523968890220672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1131265656.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131265657) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 481 + ... + 47568.

Almost surely, 21131265656 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 1131265656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1585650000).

1131265656 is an abundant number, since it is smaller than the sum of its proper divisors (2040034344).

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

1131265656 is a wasteful number, since it uses less digits than its factorization.

1131265656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48173 (or 48163 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 1131265656 is about 33634.2928571421. The cubic root of 1131265656 is about 1041.9691661135.

Adding to 1131265656 its reverse (6565621311), we get a palindrome (7696886967).

The spelling of 1131265656 in words is "one billion, one hundred thirty-one million, two hundred sixty-five thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 109 216 218 327 436 654 872 981 1308 1962 2616 2943 3924 5886 7848 11772 23544 48049 96098 144147 192196 288294 384392 432441 576588 864882 1153176 1297323 1729764 2594646 3459528 5189292 5237341 10378584 10474682 15712023 20949364 31424046 41898728 47136069 62848092 94272138 125696184 141408207 188544276 282816414 377088552 565632828 1131265656