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110102010012 = 223217917085973
BaseRepresentation
bin110011010001010010…
…1110101100010011100
3101112012012100121210200
41212202211311202130
53300442103310022
6122325152103500
710645300433511
oct1464245654234
9345165317720
10110102010012
114276a794805
1219408b34b90
13a4c8695567
145486979308
152ce6047bac
hex19a297589c

110102010012 has 36 divisors (see below), whose sum is σ = 279868254120. Its totient is φ = 36495636192.

The previous prime is 110102010001. The next prime is 110102010019. The reversal of 110102010012 is 210010201011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×1101020100123 (a number of 34 digits) contains 333 as substring.

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 = 110102009976 and 110102010003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110102010019) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8536543 + ... + 8549430.

It is an arithmetic number, because the mean of its divisors is an integer number (7774118170).

Almost surely, 2110102010012 is an apocalyptic number.

110102010012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

110102010012 is an abundant number, since it is smaller than the sum of its proper divisors (169766244108).

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

110102010012 is a wasteful number, since it uses less digits than its factorization.

110102010012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17086162 (or 17086157 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 110102010012 its reverse (210010201011), we get a palindrome (320112211023).

The spelling of 110102010012 in words is "one hundred ten billion, one hundred two million, ten thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 179 358 537 716 1074 1611 2148 3222 6444 17085973 34171946 51257919 68343892 102515838 153773757 205031676 307547514 615095028 3058389167 6116778334 9175167501 12233556668 18350335002 27525502503 36700670004 55051005006 110102010012