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1212313032 = 233273122503
BaseRepresentation
bin100100001000010…
…0110110111001000
310010111011212211200
41020100212313020
54440323004112
6320144024200
742020330220
oct11020466710
93114155750
101212313032
115723567a7
1229a002060
13164215ab8
14b7017080
157166dcdc
hex48426dc8

1212313032 has 144 divisors (see below), whose sum is σ = 3878896320. Its totient is φ = 335067840.

The previous prime is 1212313009. The next prime is 1212313033. The reversal of 1212313032 is 2303132121.

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

It is a junction number, because it is equal to n+sod(n) for n = 1212312996 and 1212313014.

It is not an unprimeable number, because it can be changed into a prime (1212313033) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 483093 + ... + 485595.

It is an arithmetic number, because the mean of its divisors is an integer number (26936780).

Almost surely, 21212313032 is an apocalyptic number.

1212313032 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 1212313032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1939448160).

1212313032 is an abundant number, since it is smaller than the sum of its proper divisors (2666583288).

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

1212313032 is a wasteful number, since it uses less digits than its factorization.

1212313032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2584 (or 2546 counting only the distinct ones).

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

The square root of 1212313032 is about 34818.2858854367. The cubic root of 1212313032 is about 1066.2808051381.

Adding to 1212313032 its reverse (2303132121), we get a palindrome (3515445153).

The spelling of 1212313032 in words is "one billion, two hundred twelve million, three hundred thirteen thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 31 36 42 56 62 63 72 84 93 124 126 168 186 217 248 252 279 372 434 504 558 651 744 868 961 1116 1302 1736 1922 1953 2232 2503 2604 2883 3844 3906 5006 5208 5766 6727 7509 7688 7812 8649 10012 11532 13454 15018 15624 17298 17521 20024 20181 22527 23064 26908 30036 34596 35042 40362 45054 52563 53816 60072 60543 69192 70084 77593 80724 90108 105126 121086 140168 155186 157689 161448 180216 210252 232779 242172 310372 315378 420504 465558 484344 543151 620744 630756 698337 931116 1086302 1261512 1396674 1629453 1862232 2172604 2405383 2793348 3258906 4345208 4810766 4888359 5586696 6517812 7216149 9621532 9776718 13035624 14432298 16837681 19243064 19553436 21648447 28864596 33675362 39106872 43296894 50513043 57729192 67350724 86593788 101026086 134701448 151539129 173187576 202052172 303078258 404104344 606156516 1212313032