Search a number
-
+
123015323112 = 233111303357611
BaseRepresentation
bin111001010010001001…
…0001101110111101000
3102202112011000220012020
41302210102031313220
54003413410314422
6132302405144440
711613301664613
oct1624422156750
9382464026166
10123015323112
1148196a40aa0
121ba116bb120
13b7a5b05326
145d4d9bb17a
1532eea7495c
hex1ca448dde8

123015323112 has 64 divisors (see below), whose sum is σ = 335754754560. Its totient is φ = 37248657600.

The previous prime is 123015323111. The next prime is 123015323113. The reversal of 123015323112 is 211323510321.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (123015323111) and next prime (123015323113).

It is a super-2 number, since 2×1230153231122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (123015323111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 165187 + ... + 522797.

It is an arithmetic number, because the mean of its divisors is an integer number (5246168040).

Almost surely, 2123015323112 is an apocalyptic number.

123015323112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

123015323112 is an abundant number, since it is smaller than the sum of its proper divisors (212739431448).

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

123015323112 is a wasteful number, since it uses less digits than its factorization.

123015323112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358934 (or 358930 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

Adding to 123015323112 its reverse (211323510321), we get a palindrome (334338833433).

The spelling of 123015323112 in words is "one hundred twenty-three billion, fifteen million, three hundred twenty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 1303 2606 3909 5212 7818 10424 14333 15636 28666 31272 42999 57332 85998 114664 171996 343992 357611 715222 1072833 1430444 2145666 2860888 3933721 4291332 7867442 8582664 11801163 15734884 23602326 31469768 47204652 94409304 465967133 931934266 1397901399 1863868532 2795802798 3727737064 5125638463 5591605596 10251276926 11183211192 15376915389 20502553852 30753830778 41005107704 61507661556 123015323112