Search a number
-
+
23112011113230 = 235131034211366639
BaseRepresentation
bin1010100000101001011110…
…01101100110001100001110
310000211111010210101220012010
411100110233031212030032
511012131344321110410
6121053302240322050
74603534116025224
oct520245715461416
9100744123356163
1023112011113230
117400826820a76
122713319913326
13cb85b7b79360
1459c8ad486b14
152a12e302cc20
hex15052f36630e

23112011113230 has 128 divisors (see below), whose sum is σ = 60458929090560. Its totient is φ = 5620490104320.

The previous prime is 23112011113229. The next prime is 23112011113309. The reversal of 23112011113230 is 3231111021132.

It is a junction number, because it is equal to n+sod(n) for n = 23112011113197 and 23112011113206.

It is a congruent number.

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, 16228251 + ... + 17594889.

It is an arithmetic number, because the mean of its divisors is an integer number (472335383520).

Almost surely, 223112011113230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23112011113230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30229464545280).

23112011113230 is an abundant number, since it is smaller than the sum of its proper divisors (37346917977330).

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

23112011113230 is a wasteful number, since it uses less digits than its factorization.

23112011113230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1367186.

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 23112011113230 its reverse (3231111021132), we get a palindrome (26343122134362).

The spelling of 23112011113230 in words is "twenty-three trillion, one hundred twelve billion, eleven million, one hundred thirteen thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 103 130 195 206 309 390 421 515 618 842 1030 1263 1339 1545 2105 2526 2678 3090 4017 4210 5473 6315 6695 8034 10946 12630 13390 16419 20085 27365 32838 40170 43363 54730 82095 86726 130089 164190 216815 260178 433630 563719 650445 1127438 1300890 1366639 1691157 2733278 2818595 3382314 4099917 5637190 6833195 8199834 8455785 13666390 16911570 17766307 20499585 35532614 40999170 53298921 88831535 106597842 140763817 177663070 266494605 281527634 422291451 532989210 575355019 703819085 844582902 1150710038 1407638170 1726065057 1829929621 2111457255 2876775095 3452130114 3659859242 4222914510 5489788863 5753550190 7479615247 8630325285 9149648105 10979577726 14959230494 17260650570 18299296210 22438845741 27448944315 37398076235 44877691482 54897888630 59261566957 74796152470 112194228705 118523133914 177784700871 224388457410 296307834785 355569401742 592615669570 770400370441 888923504355 1540800740882 1777847008710 2311201111323 3852001852205 4622402222646 7704003704410 11556005556615 23112011113230