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23201121312 = 2532194239971
BaseRepresentation
bin10101100110111001…
…010000010000100000
32012212221000002011100
4111212321100100200
5340003441340222
614354120314400
71450642164045
oct254671202040
965787002140
1023201121312
119926478926
1245b6012a00
132259949965
1411a14c31cc
1590bcdb4ac
hex566e50420

23201121312 has 72 divisors (see below), whose sum is σ = 69450741360. Its totient is φ = 7326668160.

The previous prime is 23201121301. The next prime is 23201121329. The reversal of 23201121312 is 21312110232.

23201121312 is a `hidden beast` number, since 2 + 320 + 11 + 21 + 312 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2114514 + ... + 2125457.

It is an arithmetic number, because the mean of its divisors is an integer number (964593630).

Almost surely, 223201121312 is an apocalyptic number.

It is an amenable number.

23201121312 is an abundant number, since it is smaller than the sum of its proper divisors (46249620048).

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

23201121312 is a wasteful number, since it uses less digits than its factorization.

23201121312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4240006 (or 4239995 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 23201121312 its reverse (21312110232), we get a palindrome (44513231544).

The spelling of 23201121312 in words is "twenty-three billion, two hundred one million, one hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 456 608 684 912 1368 1824 2736 5472 4239971 8479942 12719913 16959884 25439826 33919768 38159739 50879652 67839536 76319478 80559449 101759304 135679072 152638956 161118898 203518608 241678347 305277912 322237796 407037216 483356694 610555824 644475592 725035041 966713388 1221111648 1288951184 1450070082 1933426776 2577902368 2900140164 3866853552 5800280328 7733707104 11600560656 23201121312