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23530125312 = 211321967189
BaseRepresentation
bin10101111010100000…
…010011100000000000
32020201212002012210200
4111322200103200000
5341142203002222
614450512125200
71462045523301
oct257240234000
966655065720
1023530125312
119a85162461
124688236800
1322acb61295
1411d30867a8
1592ab28eac
hex57a813800

23530125312 has 144 divisors (see below), whose sum is σ = 71537193000. Its totient is φ = 7430455296.

The previous prime is 23530125271. The next prime is 23530125317. The reversal of 23530125312 is 21352103532.

It is a happy number.

23530125312 is a `hidden beast` number, since 2 + 3 + 530 + 125 + 3 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23530125317) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 316614 + ... + 383802.

Almost surely, 223530125312 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 23530125312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35768596500).

23530125312 is an abundant number, since it is smaller than the sum of its proper divisors (48007067688).

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

23530125312 is a wasteful number, since it uses less digits than its factorization.

23530125312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67236 (or 67213 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

Adding to 23530125312 its reverse (21352103532), we get a palindrome (44882228844).

The spelling of 23530125312 in words is "twenty-three billion, five hundred thirty million, one hundred twenty-five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 228 256 288 304 342 384 456 512 576 608 684 768 912 1024 1152 1216 1368 1536 1824 2048 2304 2432 2736 3072 3648 4608 4864 5472 6144 7296 9216 9728 10944 14592 18432 19456 21888 29184 38912 43776 58368 67189 87552 116736 134378 175104 201567 268756 350208 403134 537512 604701 806268 1075024 1209402 1276591 1612536 2150048 2418804 2553182 3225072 3829773 4300096 4837608 5106364 6450144 7659546 8600192 9675216 10212728 11489319 12900288 15319092 17200384 19350432 20425456 22978638 25800576 30638184 34400768 38700864 40850912 45957276 51601152 61276368 68801536 77401728 81701824 91914552 103202304 122552736 137603072 154803456 163403648 183829104 206404608 245105472 309606912 326807296 367658208 412809216 490210944 619213824 653614592 735316416 980421888 1238427648 1307229184 1470632832 1960843776 2614458368 2941265664 3921687552 5882531328 7843375104 11765062656 23530125312