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10311011112 = 23337791031427
BaseRepresentation
bin10011001101001010…
…11000101100101000
3222121120222122011110
421212211120230220
5132104104323422
64423052430320
7513342101613
oct114645305450
928546878143
1010311011112
11441132a296
121bb91783a0
13c8427210c
146db5a117a
1540534460c
hex266958b28

10311011112 has 128 divisors (see below), whose sum is σ = 27088588800. Its totient is φ = 3267433728.

The previous prime is 10311011101. The next prime is 10311011171. The reversal of 10311011112 is 21111011301.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7224943 + ... + 7226369.

It is an arithmetic number, because the mean of its divisors is an integer number (211629600).

Almost surely, 210311011112 is an apocalyptic number.

10311011112 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 10311011112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13544294400).

10311011112 is an abundant number, since it is smaller than the sum of its proper divisors (16777577688).

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

10311011112 is a wasteful number, since it uses less digits than its factorization.

10311011112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1655 (or 1651 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 10311011112 its reverse (21111011301), we get a palindrome (31422022413).

The spelling of 10311011112 in words is "ten billion, three hundred eleven million, eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 37 74 79 103 111 148 158 206 222 237 296 309 316 412 444 474 618 632 824 888 948 1236 1427 1896 2472 2854 2923 3811 4281 5708 5846 7622 8137 8562 8769 11416 11433 11692 15244 16274 17124 17538 22866 23384 24411 30488 32548 34248 35076 45732 48822 52799 65096 70152 91464 97644 105598 112733 146981 158397 195288 211196 225466 293962 301069 316794 338199 422392 440943 450932 587924 602138 633588 676398 881886 901864 903207 1175848 1204276 1267176 1352796 1763772 1806414 2408552 2705592 3527544 3612828 4171121 5438297 7225656 8342242 10876594 11611499 12513363 16314891 16684484 21753188 23222998 25026726 32629782 33368968 34834497 43506376 46445996 50053452 65259564 69668994 92891992 100106904 130519128 139337988 278675976 429625463 859250926 1288876389 1718501852 2577752778 3437003704 5155505556 10311011112