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1312132224 = 27313220219
BaseRepresentation
bin100111000110101…
…1000110010000000
310101110000020000210
41032031120302000
510141401212344
6334111314120
744341640244
oct11615306200
93343006023
101312132224
116137343a7
1230751b940
1317bac5200
14c639c424
157a2d9db9
hex4e358c80

1312132224 has 96 divisors (see below), whose sum is σ = 3774265200. Its totient is φ = 403713024.

The previous prime is 1312132219. The next prime is 1312132271. The reversal of 1312132224 is 4222312131.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1312132224.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54787 + ... + 75005.

Almost surely, 21312132224 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 1312132224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1887132600).

1312132224 is an abundant number, since it is smaller than the sum of its proper divisors (2462132976).

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

1312132224 is a wasteful number, since it uses less digits than its factorization.

1312132224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20262 (or 20237 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 1312132224 is about 36223.3657188285. The cubic root of 1312132224 is about 1094.7775098927. Note that the first 3 decimals are identical.

Adding to 1312132224 its reverse (4222312131), we get a palindrome (5534444355).

The spelling of 1312132224 in words is "one billion, three hundred twelve million, one hundred thirty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 169 192 208 312 338 384 416 507 624 676 832 1014 1248 1352 1664 2028 2496 2704 4056 4992 5408 8112 10816 16224 20219 21632 32448 40438 60657 64896 80876 121314 161752 242628 262847 323504 485256 525694 647008 788541 970512 1051388 1294016 1577082 1941024 2102776 2588032 3154164 3417011 3882048 4205552 6308328 6834022 7764096 8411104 10251033 12616656 13668044 16822208 20502066 25233312 27336088 33644416 41004132 50466624 54672176 82008264 100933248 109344352 164016528 218688704 328033056 437377408 656066112 1312132224