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110000111112 = 23323747878539
BaseRepresentation
bin110011001110010000…
…1000111111000001000
3101111221002121121210100
41212130201013320020
53300240012023422
6122311112045400
710642622342253
oct1463441077010
9344832547710
10110000111112
1142718216641
121939a993860
13a4b0538658
14547721209a
152cdc11a7ac
hex199c847e08

110000111112 has 96 divisors (see below), whose sum is σ = 312479107200. Its totient is φ = 34916614272.

The previous prime is 110000111077. The next prime is 110000111113. The reversal of 110000111112 is 211111000011.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 110000111094 and 110000111103.

It is not an unprimeable number, because it can be changed into a prime (110000111113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 314062 + ... + 564477.

It is an arithmetic number, because the mean of its divisors is an integer number (3254990700).

Almost surely, 2110000111112 is an apocalyptic number.

110000111112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

110000111112 is an abundant number, since it is smaller than the sum of its proper divisors (202478996088).

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

110000111112 is a wasteful number, since it uses less digits than its factorization.

110000111112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 878635 (or 878628 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 110000111112 its reverse (211111000011), we get a palindrome (321111111123).

The spelling of 110000111112 in words is "one hundred ten billion, one hundred eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 47 72 74 94 111 141 148 188 222 282 296 333 376 423 444 564 666 846 888 1128 1332 1692 1739 2664 3384 3478 5217 6956 10434 13912 15651 20868 31302 41736 62604 125208 878539 1757078 2635617 3514156 5271234 7028312 7906851 10542468 15813702 21084936 31627404 32505943 41291333 63254808 65011886 82582666 97517829 123873999 130023772 165165332 195035658 247747998 260047544 292553487 330330664 371621997 390071316 495495996 585106974 743243994 780142632 990991992 1170213948 1486487988 1527779321 2340427896 2972975976 3055558642 4583337963 6111117284 9166675926 12222234568 13750013889 18333351852 27500027778 36666703704 55000055556 110000111112