Search a number
-
+
23230031323410 = 2325736175730589
BaseRepresentation
bin1010100100000101010011…
…10000111110000100010010
310001020202202211020202121200
411102002221300332010102
511021100101004322120
6121223421251132030
74615212555201522
oct522025160760422
9101222684222550
1023230031323410
11744688a09275a
1227321765a4016
13cc6775b44352
145a44a78b5682
152a43ee2b3e90
hex1520a9c3e112

23230031323410 has 96 divisors (see below), whose sum is σ = 61324693999920. Its totient is φ = 6099912935424.

The previous prime is 23230031323363. The next prime is 23230031323417. The reversal of 23230031323410 is 1432313003232.

23230031323410 is a `hidden beast` number, since 2 + 3 + 2 + 3 + 0 + 0 + 313 + 2 + 341 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 5248878027849 + 17981153295561 = 2291043^2 + 4240419^2 .

It is not an unprimeable number, because it can be changed into a prime (23230031323417) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1188396 + ... + 6918984.

Almost surely, 223230031323410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23230031323410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30662346999960).

23230031323410 is an abundant number, since it is smaller than the sum of its proper divisors (38094662676510).

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

23230031323410 is a wasteful number, since it uses less digits than its factorization.

23230031323410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5731292 (or 5731289 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 23230031323410 its reverse (1432313003232), we get a palindrome (24662344326642).

The spelling of 23230031323410 in words is "twenty-three trillion, two hundred thirty billion, thirty-one million, three hundred twenty-three thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 73 90 146 219 365 438 617 657 730 1095 1234 1314 1851 2190 3085 3285 3702 5553 6170 6570 9255 11106 18510 27765 45041 55530 90082 135123 225205 270246 405369 450410 675615 810738 1351230 2026845 4053690 5730589 11461178 17191767 28652945 34383534 51575301 57305890 85958835 103150602 171917670 257876505 418332997 515753010 836665994 1254998991 2091664985 2509997982 3535773413 3764996973 4183329970 6274994955 7071546826 7529993946 10607320239 12549989910 17678867065 18824984865 21214640478 31821960717 35357734130 37649969730 53036601195 63643921434 106073202390 159109803585 258111459149 318219607170 516222918298 774334377447 1290557295745 1548668754894 2323003132341 2581114591490 3871671887235 4646006264682 7743343774470 11615015661705 23230031323410