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123013211130 = 232510923995227
BaseRepresentation
bin111001010010000101…
…0001010001111111010
3102202112000001121002200
41302210022022033322
54003412340224010
6132302252011030
711613245020335
oct1624412121772
9382460047080
10123013211130
1148195829257
121ba10a60a76
13b7a5545c34
145d4d5cb61c
1532ee7a8cc0
hex1ca428a3fa

123013211130 has 96 divisors (see below), whose sum is σ = 322964928000. Its totient is φ = 32482809216.

The previous prime is 123013211119. The next prime is 123013211147. The reversal of 123013211130 is 31112310321.

123013211130 is a `hidden beast` number, since 1 + 2 + 301 + 321 + 11 + 30 = 666.

It is a super-2 number, since 2×1230132111302 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23531577 + ... + 23536803.

It is an arithmetic number, because the mean of its divisors is an integer number (3364218000).

Almost surely, 2123013211130 is an apocalyptic number.

123013211130 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 123013211130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161482464000).

123013211130 is an abundant number, since it is smaller than the sum of its proper divisors (199951716870).

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

123013211130 is a wasteful number, since it uses less digits than its factorization.

123013211130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7748 (or 7745 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 123013211130 its reverse (31112310321), we get a palindrome (154125521451).

The spelling of 123013211130 in words is "one hundred twenty-three billion, thirteen million, two hundred eleven thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 109 218 327 545 654 981 1090 1635 1962 2399 3270 4798 4905 5227 7197 9810 10454 11995 14394 15681 21591 23990 26135 31362 35985 43182 47043 52270 71970 78405 94086 107955 156810 215910 235215 261491 470430 522982 569743 784473 1139486 1307455 1568946 1709229 2353419 2614910 2848715 3418458 3922365 4706838 5127687 5697430 7844730 8546145 10255374 11767095 12539573 17092290 23534190 25079146 25638435 37618719 51276870 62697865 75237438 112856157 125395730 188093595 225712314 376187190 564280785 1128561570 1366813457 2733626914 4100440371 6834067285 8200880742 12301321113 13668134570 20502201855 24602642226 41004403710 61506605565 123013211130