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23113133130 = 23547107239641
BaseRepresentation
bin10101100001101001…
…100110110001001010
32012122210102211001210
4111201221212301022
5334313430230010
614341254353550
71445523250533
oct254151466112
965583384053
1023113133130
11989084101a
12459065b8b6
132244650649
14119393b68a
1590420ab20
hex561a66c4a

23113133130 has 128 divisors (see below), whose sum is σ = 57510051840. Its totient is φ = 5941698560.

The previous prime is 23113133119. The next prime is 23113133227. The reversal of 23113133130 is 3133131132.

It is a junction number, because it is equal to n+sod(n) for n = 23113133097 and 23113133106.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36057610 + ... + 36058250.

It is an arithmetic number, because the mean of its divisors is an integer number (449297280).

Almost surely, 223113133130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23113133130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28755025920).

23113133130 is an abundant number, since it is smaller than the sum of its proper divisors (34396918710).

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

23113133130 is a wasteful number, since it uses less digits than its factorization.

23113133130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1044.

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 23113133130 its reverse (3133131132), we get a palindrome (26246264262).

The spelling of 23113133130 in words is "twenty-three billion, one hundred thirteen million, one hundred thirty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 47 94 107 141 214 235 239 282 321 470 478 535 641 642 705 717 1070 1195 1282 1410 1434 1605 1923 2390 3205 3210 3585 3846 5029 6410 7170 9615 10058 11233 15087 19230 22466 25145 25573 30127 30174 33699 50290 51146 56165 60254 67398 68587 75435 76719 90381 112330 127865 137174 150635 150870 153199 153438 168495 180762 205761 255730 301270 306398 336990 342935 383595 411522 451905 459597 685870 765995 767190 903810 919194 1028805 1201931 1531990 2057610 2297985 2403862 3223589 3605793 4595970 6009655 6447178 7200353 7211586 9670767 12019310 14400706 16117945 16392293 18028965 19341534 21601059 32235890 32784586 36001765 36057930 43202118 48353835 49176879 72003530 81961465 96707670 98353758 108005295 163922930 216010590 245884395 491768790 770437771 1540875542 2311313313 3852188855 4622626626 7704377710 11556566565 23113133130