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1312013232 = 243219736569
BaseRepresentation
bin100111000110011…
…1011101110110000
310101102210011210200
41032030323232300
510141333410412
6334104555200
744340633315
oct11614735660
93342704720
101312013232
11613662a62
12307482b00
1317ba82cba
14c636ad0c
157a2b49dc
hex4e33bbb0

1312013232 has 120 divisors (see below), whose sum is σ = 3918610800. Its totient is φ = 408582144.

The previous prime is 1312013221. The next prime is 1312013249. The reversal of 1312013232 is 2323102131.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 196444 + ... + 203012.

It is an arithmetic number, because the mean of its divisors is an integer number (32655090).

Almost surely, 21312013232 is an apocalyptic number.

1312013232 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 1312013232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1959305400).

1312013232 is an abundant number, since it is smaller than the sum of its proper divisors (2606597568).

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

1312013232 is a wasteful number, since it uses less digits than its factorization.

1312013232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6675 (or 6666 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1312013232 is about 36221.7232058333. The cubic root of 1312013232 is about 1094.7444152343.

Adding to 1312013232 its reverse (2323102131), we get a palindrome (3635115363).

The spelling of 1312013232 in words is "one billion, three hundred twelve million, thirteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 73 76 114 144 146 152 171 219 228 292 304 342 438 456 584 657 684 876 912 1168 1314 1368 1387 1752 2628 2736 2774 3504 4161 5256 5548 6569 8322 10512 11096 12483 13138 16644 19707 22192 24966 26276 33288 39414 49932 52552 59121 66576 78828 99864 105104 118242 124811 157656 199728 236484 249622 315312 374433 472968 479537 499244 748866 945936 959074 998488 1123299 1438611 1497732 1918148 1996976 2246598 2877222 2995464 3836296 4315833 4493196 5754444 5990928 7672592 8631666 8986392 9111203 11508888 17263332 17972784 18222406 23017776 27333609 34526664 36444812 54667218 69053328 72889624 82000827 109334436 145779248 164001654 218668872 328003308 437337744 656006616 1312013232