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331122012130632 = 23378293721747351
BaseRepresentation
bin100101101001001110101100…
…1111010010000110101001000
31121102101221210100102012122110
41023102131121322100311020
5321400100340101140012
63132123204041222320
7126513530066004642
oct11322353172206510
91542357710365573
10331122012130632
1196562069573068
12311797b7a919a0
131129b896b2a8a8
145baa5688a7892
15284339b81173c
hex12d2759e90d48

331122012130632 has 64 divisors (see below), whose sum is σ = 827950496572800. Its totient is φ = 110354610022400.

The previous prime is 331122012130631. The next prime is 331122012130649. The reversal of 331122012130632 is 236031210221133.

It is a self number, because there is not a number n which added to its sum of digits gives 331122012130632.

It is not an unprimeable number, because it can be changed into a prime (331122012130631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6992901757 + ... + 6992949107.

It is an arithmetic number, because the mean of its divisors is an integer number (12936726508950).

Almost surely, 2331122012130632 is an apocalyptic number.

It is an amenable number.

331122012130632 is an abundant number, since it is smaller than the sum of its proper divisors (496828484442168).

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

331122012130632 is a wasteful number, since it uses less digits than its factorization.

331122012130632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92406 (or 92402 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

Adding to 331122012130632 its reverse (236031210221133), we get a palindrome (567153222351765).

The spelling of 331122012130632 in words is "three hundred thirty-one trillion, one hundred twenty-two billion, twelve million, one hundred thirty thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 7829 15658 23487 31316 37217 46974 47351 62632 74434 93948 94702 111651 142053 148868 187896 189404 223302 284106 297736 378808 446604 568212 893208 1136424 291371893 370710979 582743786 741421958 874115679 1112132937 1165487572 1482843916 1748231358 1762262167 2224265874 2330975144 2965687832 3496462716 3524524334 4448531748 5286786501 6992925432 7049048668 8897063496 10573573002 14098097336 21147146004 42294292008 13796750505443 27593501010886 41390251516329 55187002021772 82780503032658 110374004043544 165561006065316 331122012130632