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23132111004 = 22331731340253
BaseRepresentation
bin10101100010110010…
…000000000010011100
32012201010010222211000
4111202302000002130
5334333310023004
614343213230300
71446143461602
oct254262000234
965633128730
1023132111004
1198a0523412
124596a92390
132248566762
14119627b872
15905c08c39
hex562c8009c

23132111004 has 96 divisors (see below), whose sum is σ = 63704370240. Its totient is φ = 7233767424.

The previous prime is 23132110973. The next prime is 23132111017. The reversal of 23132111004 is 40011123132.

23132111004 is a `hidden beast` number, since 231 + 321 + 110 + 0 + 4 = 666.

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

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, 554542 + ... + 594794.

It is an arithmetic number, because the mean of its divisors is an integer number (663587190).

Almost surely, 223132111004 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 23132111004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31852185120).

23132111004 is an abundant number, since it is smaller than the sum of its proper divisors (40572259236).

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

23132111004 is a wasteful number, since it uses less digits than its factorization.

23132111004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40596 (or 40588 counting only the distinct ones).

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

Adding to 23132111004 its reverse (40011123132), we get a palindrome (63143234136).

The spelling of 23132111004 in words is "twenty-three billion, one hundred thirty-two million, one hundred eleven thousand, four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 204 306 313 459 612 626 918 939 1252 1836 1878 2817 3756 5321 5634 8451 10642 11268 15963 16902 21284 31926 33804 40253 47889 63852 80506 95778 120759 143667 161012 191556 241518 287334 362277 483036 574668 684301 724554 1086831 1368602 1449108 2052903 2173662 2737204 4105806 4347324 6158709 8211612 12317418 12599189 18476127 24634836 25198378 36952254 37797567 50396756 73904508 75595134 113392701 151190268 214186213 226785402 340178103 428372426 453570804 642558639 680356206 856744852 1285117278 1360712412 1927675917 2570234556 3855351834 5783027751 7710703668 11566055502 23132111004