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10112311110 = 23511179718583
BaseRepresentation
bin10010110101011110…
…11001111101000110
3222002202002122000010
421122233121331012
5131202222423420
64351233531050
7505410140406
oct113257317506
928082078003
1010112311110
11431a155010
121b62713a86
13c52051755
146bd03a806
153e2b954e0
hex25abd9f46

10112311110 has 128 divisors (see below), whose sum is σ = 28323800064. Its totient is φ = 2283356160.

The previous prime is 10112311109. The next prime is 10112311117. The reversal of 10112311110 is 1111321101.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10112311117) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 534879 + ... + 553461.

It is an arithmetic number, because the mean of its divisors is an integer number (221279688).

Almost surely, 210112311110 is an apocalyptic number.

10112311110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10112311110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14161900032).

10112311110 is an abundant number, since it is smaller than the sum of its proper divisors (18211488954).

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

10112311110 is a wasteful number, since it uses less digits than its factorization.

10112311110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18718.

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

Adding to 10112311110 its reverse (1111321101), we get a palindrome (11223632211).

Subtracting from 10112311110 its reverse (1111321101), we obtain a palindrome (9000990009).

The spelling of 10112311110 in words is "ten billion, one hundred twelve million, three hundred eleven thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 11 15 17 22 30 33 34 51 55 66 85 97 102 110 165 170 187 194 255 291 330 374 485 510 561 582 935 970 1067 1122 1455 1649 1870 2134 2805 2910 3201 3298 4947 5335 5610 6402 8245 9894 10670 16005 16490 18139 18583 24735 32010 36278 37166 49470 54417 55749 90695 92915 108834 111498 181390 185830 204413 272085 278745 315911 408826 544170 557490 613239 631822 947733 1022065 1226478 1579555 1802551 1895466 2044130 3066195 3159110 3475021 3605102 4738665 5407653 6132390 6950042 9012755 9477330 10425063 10815306 17375105 18025510 19828061 20850126 27038265 30643367 34750210 39656122 52125315 54076530 59484183 61286734 91930101 99140305 104250630 118968366 153216835 183860202 198280610 297420915 306433670 337077037 459650505 594841830 674154074 919301010 1011231111 1685385185 2022462222 3370770370 5056155555 10112311110