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23130132312 = 2337227761797
BaseRepresentation
bin10101100010101010…
…011100111101011000
32012200222102110120010
4111202222130331120
5334332303213222
614343103001520
71446120611040
oct254252347530
965628373503
1023130132312
11989a3a1831
1245962992a0
132248022c31
141195cc4720
1590596780c
hex562a9cf58

23130132312 has 128 divisors (see below), whose sum is σ = 66547837440. Its totient is φ = 6562606080.

The previous prime is 23130132293. The next prime is 23130132349. The reversal of 23130132312 is 21323103132.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29021098 + ... + 29021894.

It is an arithmetic number, because the mean of its divisors is an integer number (519904980).

Almost surely, 223130132312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23130132312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33273918720).

23130132312 is an abundant number, since it is smaller than the sum of its proper divisors (43417705128).

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

23130132312 is a wasteful number, since it uses less digits than its factorization.

23130132312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1801 (or 1797 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 23130132312 its reverse (21323103132), we get a palindrome (44453235444).

The spelling of 23130132312 in words is "twenty-three billion, one hundred thirty million, one hundred thirty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 227 454 681 761 797 908 1362 1522 1589 1594 1816 2283 2391 2724 3044 3178 3188 4566 4767 4782 5327 5448 5579 6088 6356 6376 9132 9534 9564 10654 11158 12712 15981 16737 18264 19068 19128 21308 22316 31962 33474 38136 42616 44632 63924 66948 127848 133896 172747 180919 345494 361838 518241 542757 606517 690988 723676 1036482 1085514 1209229 1213034 1266433 1381976 1447352 1819551 2072964 2171028 2418458 2426068 2532866 3627687 3639102 3799299 4145928 4245619 4342056 4836916 4852136 5065732 7255374 7278204 7598598 8491238 9673832 10131464 12736857 14510748 14556408 15197196 16982476 25473714 29021496 30394392 33964952 50947428 101894856 137679359 275358718 413038077 550717436 826076154 963755513 1101434872 1652152308 1927511026 2891266539 3304304616 3855022052 5782533078 7710044104 11565066156 23130132312