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123133130232 = 23372939196449
BaseRepresentation
bin111001010101101001…
…1100111010111111000
3102202211100201010011220
41302223103213113320
54004134040131412
6132322214152040
711616232223610
oct1625323472770
9382740633156
10123133130232
1148247495252
121ba45052620
13b7c4342098
145d614c5a40
15330a09568c
hex1cab4e75f8

123133130232 has 128 divisors (see below), whose sum is σ = 364089600000. Its totient is φ = 33953826816.

The previous prime is 123133130231. The next prime is 123133130249. The reversal of 123133130232 is 232031331321.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123133130231) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19090144 + ... + 19096592.

It is an arithmetic number, because the mean of its divisors is an integer number (2844450000).

Almost surely, 2123133130232 is an apocalyptic number.

123133130232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123133130232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182044800000).

123133130232 is an abundant number, since it is smaller than the sum of its proper divisors (240956469768).

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

123133130232 is a wasteful number, since it uses less digits than its factorization.

123133130232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10413 (or 10409 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 123133130232 its reverse (232031331321), we get a palindrome (355164461553).

The spelling of 123133130232 in words is "one hundred twenty-three billion, one hundred thirty-three million, one hundred thirty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 42 56 58 84 87 116 168 174 203 232 348 406 609 696 812 1218 1624 2436 3919 4872 6449 7838 11757 12898 15676 19347 23514 25796 27433 31352 38694 45143 47028 51592 54866 77388 82299 90286 94056 109732 113651 135429 154776 164598 180572 187021 219464 227302 270858 329196 340953 361144 374042 454604 541716 561063 658392 681906 748084 795557 909208 1083432 1122126 1309147 1363812 1496168 1591114 2244252 2386671 2618294 2727624 3182228 3927441 4488504 4773342 5236588 6364456 7854882 9546684 10473176 15709764 19093368 25273631 31419528 50547262 75820893 101094524 151641786 176915417 202189048 303283572 353830834 530746251 606567144 707661668 732935299 1061492502 1415323336 1465870598 2122985004 2198805897 2931741196 4245970008 4397611794 5130547093 5863482392 8795223588 10261094186 15391641279 17590447176 20522188372 30783282558 41044376744 61566565116 123133130232