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10313302032 = 24321141158803
BaseRepresentation
bin10011001101011100…
…01000000000010000
3222121202022000201100
421212232020000100
5132110201131112
64423213504400
7513400422645
oct114656100020
928552260640
1010313302032
114412654510
121bb9aa2100
13c84894aa7
146db9d9dcc
154056482dc
hex266b88010

10313302032 has 120 divisors (see below), whose sum is σ = 32254998048. Its totient is φ = 3048998400.

The previous prime is 10313302007. The next prime is 10313302037. The reversal of 10313302032 is 23020331301.

It is a super-3 number, since 3×103133020323 (a number of 31 digits) contains 333 as substring.

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 = 10313301996 and 10313302014.

It is not an unprimeable number, because it can be changed into a prime (10313302037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14458 + ... + 144345.

Almost surely, 210313302032 is an apocalyptic number.

10313302032 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 10313302032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16127499024).

10313302032 is an abundant number, since it is smaller than the sum of its proper divisors (21941696016).

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

10313302032 is a wasteful number, since it uses less digits than its factorization.

10313302032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158869 (or 158860 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 10313302032 its reverse (23020331301), we get a palindrome (33333633333).

The spelling of 10313302032 in words is "ten billion, three hundred thirteen million, three hundred two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 41 44 48 66 72 82 88 99 123 132 144 164 176 198 246 264 328 369 396 451 492 528 656 738 792 902 984 1353 1476 1584 1804 1968 2706 2952 3608 4059 5412 5904 7216 8118 10824 16236 21648 32472 64944 158803 317606 476409 635212 952818 1270424 1429227 1746833 1905636 2540848 2858454 3493666 3811272 5240499 5716908 6510923 6987332 7622544 10480998 11433816 13021846 13974664 15721497 19532769 20961996 22867632 26043692 27949328 31442994 39065538 41923992 52087384 58598307 62885988 71620153 78131076 83847984 104174768 117196614 125771976 143240306 156262152 214860459 234393228 251543952 286480612 312524304 429720918 468786456 572961224 644581377 859441836 937572912 1145922448 1289162754 1718883672 2578325508 3437767344 5156651016 10313302032