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10311112313020 = 22541191227290023
BaseRepresentation
bin1001011000001011111000…
…1011111100100010111100
31100111201210010221021022101
42112002332023330202330
52322414124223004040
633532505401354444
72112644655360001
oct226027613744274
940451703837271
1010311112313020
113315a110aa592
1211a6442798a24
1359a44524687c
142790bc0198a8
1512d337e7909a
hex960be2fc8bc

10311112313020 has 96 divisors (see below), whose sum is σ = 22395903860736. Its totient is φ = 3985134297600.

The previous prime is 10311112313011. The next prime is 10311112313111. The reversal of 10311112313020 is 2031321111301.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 35407729 + ... + 35697751.

It is an arithmetic number, because the mean of its divisors is an integer number (233290665216).

Almost surely, 210311112313020 is an apocalyptic number.

10311112313020 is a gapful number since it is divisible by the number (10) 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 10311112313020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11197951930368).

10311112313020 is an abundant number, since it is smaller than the sum of its proper divisors (12084791547716).

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

10311112313020 is a wasteful number, since it uses less digits than its factorization.

10311112313020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290491 (or 290489 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 10311112313020 its reverse (2031321111301), we get a palindrome (12342433424321).

The spelling of 10311112313020 in words is "ten trillion, three hundred eleven billion, one hundred twelve million, three hundred thirteen thousand, twenty".

Divisors: 1 2 4 5 10 20 41 82 164 191 205 227 382 410 454 764 820 908 955 1135 1910 2270 3820 4540 7831 9307 15662 18614 31324 37228 39155 43357 46535 78310 86714 93070 156620 173428 186140 216785 290023 433570 580046 867140 1160092 1450115 1777637 2900230 3555274 5800460 7110548 8888185 11890943 17776370 23781886 35552740 47563772 55394393 59454715 65835221 110788786 118909430 131670442 221577572 237818860 263340884 276971965 329176105 553943930 658352210 1107887860 1316704420 2271170113 2699244061 4542340226 5398488122 9084680452 10796976244 11355850565 12574527211 13496220305 22711701130 25149054422 26992440610 45423402260 50298108844 53984881220 62872636055 125745272110 251490544220 515555615651 1031111231302 2062222462604 2577778078255 5155556156510 10311112313020