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23231001312 = 2533105125583
BaseRepresentation
bin10101101000101011…
…001111001011100000
32012222000020010211000
4111220223033023200
5340034114020222
614401104552000
71451454152541
oct255053171340
965860203730
1023231001312
119941327142
124604022600
132262bac12c
1411a54604c8
1590e73e9ac
hex568acf2e0

23231001312 has 96 divisors (see below), whose sum is σ = 67824207360. Its totient is φ = 7735996800.

The previous prime is 23231001251. The next prime is 23231001317. The reversal of 23231001312 is 21310013232.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23231001317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 895273 + ... + 920855.

It is an arithmetic number, because the mean of its divisors is an integer number (706502160).

Almost surely, 223231001312 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 23231001312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33912103680).

23231001312 is an abundant number, since it is smaller than the sum of its proper divisors (44593206048).

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

23231001312 is a wasteful number, since it uses less digits than its factorization.

23231001312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26653 (or 26639 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 23231001312 its reverse (21310013232), we get a palindrome (44541014544).

The spelling of 23231001312 in words is "twenty-three billion, two hundred thirty-one million, one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 1051 2102 3153 4204 6306 8408 9459 12612 16816 18918 25224 25583 28377 33632 37836 50448 51166 56754 75672 76749 100896 102332 113508 151344 153498 204664 227016 230247 302688 306996 409328 454032 460494 613992 690741 818656 908064 920988 1227984 1381482 1841976 2455968 2762964 3683952 5525928 7367904 11051856 22103712 26887733 53775466 80663199 107550932 161326398 215101864 241989597 322652796 430203728 483979194 645305592 725968791 860407456 967958388 1290611184 1451937582 1935916776 2581222368 2903875164 3871833552 5807750328 7743667104 11615500656 23231001312