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1131210912 = 253131396521
BaseRepresentation
bin100001101101100…
…1110100010100000
32220211120110122110
41003123032202200
54304042222122
6304125435320
740014063666
oct10333164240
92824513573
101131210912
115305a2557
12276a0bb40
1315048ab90
14aa344c36
156949d90c
hex436ce8a0

1131210912 has 96 divisors (see below), whose sum is σ = 3221346240. Its totient is φ = 345507840.

The previous prime is 1131210887. The next prime is 1131210919. The reversal of 1131210912 is 2190121311.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (1131210919) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 170212 + ... + 176732.

It is an arithmetic number, because the mean of its divisors is an integer number (33555690).

Almost surely, 21131210912 is an apocalyptic number.

1131210912 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 1131210912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1610673120).

1131210912 is an abundant number, since it is smaller than the sum of its proper divisors (2090135328).

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

1131210912 is a wasteful number, since it uses less digits than its factorization.

1131210912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6686 (or 6678 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 21.

The square root of 1131210912 is about 33633.4790350329. The cubic root of 1131210912 is about 1041.9523582488.

The spelling of 1131210912 in words is "one billion, one hundred thirty-one million, two hundred ten thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 139 156 208 278 312 416 417 556 624 834 1112 1248 1668 1807 2224 3336 3614 4448 5421 6521 6672 7228 10842 13042 13344 14456 19563 21684 26084 28912 39126 43368 52168 57824 78252 84773 86736 104336 156504 169546 173472 208672 254319 313008 339092 508638 626016 678184 906419 1017276 1356368 1812838 2034552 2712736 2719257 3625676 4069104 5438514 7251352 8138208 10877028 11783447 14502704 21754056 23566894 29005408 35350341 43508112 47133788 70700682 87016224 94267576 141401364 188535152 282802728 377070304 565605456 1131210912