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10311323232 = 253724746639
BaseRepresentation
bin10011001101001101…
…00100111001100000
3222121121120111022110
421212212210321200
5132104144320412
64423103235320
7513344541600
oct114646447140
928547514273
1010311323232
114411522841
121bb92a8b40
13c843511c2
146db642c00
154053a6d3c
hex2669a4e60

10311323232 has 144 divisors (see below), whose sum is σ = 32156974080. Its totient is φ = 2883347712.

The previous prime is 10311323179. The next prime is 10311323287. The reversal of 10311323232 is 23232311301.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 10311323199 and 10311323208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 197769 + ... + 244407.

It is an arithmetic number, because the mean of its divisors is an integer number (223312320).

Almost surely, 210311323232 is an apocalyptic number.

10311323232 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 10311323232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16078487040).

10311323232 is an abundant number, since it is smaller than the sum of its proper divisors (21845650848).

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

10311323232 is a wasteful number, since it uses less digits than its factorization.

10311323232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46713 (or 46698 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 10311323232 its reverse (23232311301), we get a palindrome (33543634533).

The spelling of 10311323232 in words is "ten billion, three hundred eleven million, three hundred twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 47 48 49 56 84 94 96 98 112 141 147 168 188 196 224 282 294 329 336 376 392 564 588 658 672 752 784 987 1128 1176 1316 1504 1568 1974 2256 2303 2352 2632 3948 4512 4606 4704 5264 6909 7896 9212 10528 13818 15792 18424 27636 31584 36848 46639 55272 73696 93278 110544 139917 186556 221088 279834 326473 373112 559668 652946 746224 979419 1119336 1305892 1492448 1958838 2192033 2238672 2285311 2611784 3917676 4384066 4477344 4570622 5223568 6576099 6855933 7835352 8768132 9141244 10447136 13152198 13711866 15344231 15670704 17536264 18282488 26304396 27423732 30688462 31341408 35072528 36564976 46032693 52608792 54847464 61376924 70145056 73129952 92065386 105217584 107409617 109694928 122753848 184130772 210435168 214819234 219389856 245507696 322228851 368261544 429638468 491015392 644457702 736523088 859276936 1288915404 1473046176 1718553872 2577830808 3437107744 5155661616 10311323232