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23040212112 = 24327310121701
BaseRepresentation
bin10101011101010011…
…011011110010010000
32012110201020001020100
4111131103123302100
5334141243241422
614330131412400
71443646400031
oct253523336220
965421201210
1023040212112
119853665415
124570154100
1322324cb408
141187d98a88
158ecb047ac
hex55d4dbc90

23040212112 has 120 divisors (see below), whose sum is σ = 66014098488. Its totient is φ = 7499520000.

The previous prime is 23040212101. The next prime is 23040212177. The reversal of 23040212112 is 21121204032.

It is a happy number.

23040212112 is a `hidden beast` number, since 230 + 402 + 1 + 21 + 12 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 14914271376 + 8125940736 = 122124^2 + 90144^2 .

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 23 ways as a sum of consecutive naturals, for example, 1050862 + ... + 1072562.

Almost surely, 223040212112 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 23040212112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33007049244).

23040212112 is an abundant number, since it is smaller than the sum of its proper divisors (42973886376).

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

23040212112 is a wasteful number, since it uses less digits than its factorization.

23040212112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21889 (or 21880 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 23040212112 its reverse (21121204032), we get a palindrome (44161416144).

The spelling of 23040212112 in words is "twenty-three billion, forty million, two hundred twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 73 101 144 146 202 219 292 303 404 438 584 606 657 808 876 909 1168 1212 1314 1616 1752 1818 2424 2628 3504 3636 4848 5256 7272 7373 10512 14544 14746 21701 22119 29492 43402 44238 58984 65103 66357 86804 88476 117968 130206 132714 173608 176952 195309 260412 265428 347216 353904 390618 520824 530856 781236 1041648 1061712 1562472 1584173 2191801 3124944 3168346 4383602 4752519 6336692 6575403 8767204 9505038 12673384 13150806 14257557 17534408 19010076 19726209 25346768 26301612 28515114 35068816 38020152 39452418 52603224 57030228 76040304 78904836 105206448 114060456 157809672 160001473 228120912 315619344 320002946 480004419 640005892 960008838 1280011784 1440013257 1920017676 2560023568 2880026514 3840035352 5760053028 7680070704 11520106056 23040212112