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113200113332130 = 235113719148539783
BaseRepresentation
bin11001101111010001110100…
…100010110010111110100010
3112211210211021112100121111220
4121233101310202302332202
5104314132313003112010
61040431225242315510
732562303223161216
oct3157216442627642
9484724245317456
10113200113332130
1133083997945190
1210842b34ab8b96
134b21956751456
141dd4cb3dba946
15d148dc315970
hex66f4748b2fa2

113200113332130 has 128 divisors (see below), whose sum is σ = 305982372151296. Its totient is φ = 26560968710400.

The previous prime is 113200113332101. The next prime is 113200113332149. The reversal of 113200113332130 is 31233311002311.

It is a self number, because there is not a number n which added to its sum of digits gives 113200113332130.

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, 21937782 + ... + 26602001.

It is an arithmetic number, because the mean of its divisors is an integer number (2390487282432).

Almost surely, 2113200113332130 is an apocalyptic number.

113200113332130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

113200113332130 is an abundant number, since it is smaller than the sum of its proper divisors (192782258819166).

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

113200113332130 is a wasteful number, since it uses less digits than its factorization.

113200113332130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48540032.

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 113200113332130 its reverse (31233311002311), we get a palindrome (144433424334441).

It can be divided in two parts, 1132001 and 13332130, that added together give a triangular number (14464131 = T5378).

The spelling of 113200113332130 in words is "one hundred thirteen trillion, two hundred billion, one hundred thirteen million, three hundred thirty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 37 55 66 74 110 111 165 185 191 222 330 370 382 407 555 573 814 955 1110 1146 1221 1910 2035 2101 2442 2865 4070 4202 5730 6105 6303 7067 10505 12210 12606 14134 21010 21201 31515 35335 42402 63030 70670 77737 106005 155474 212010 233211 388685 466422 777370 1166055 2332110 48539783 97079566 145619349 242698915 291238698 485397830 533937613 728096745 1067875226 1456193490 1601812839 1795971971 2669688065 3203625678 3591943942 5339376130 5387915913 8009064195 8979859855 9271098553 10775831826 16018128390 17959719710 18542197106 19755691681 26939579565 27813295659 39511383362 46355492765 53879159130 55626591318 59267075043 92710985530 98778458405 101982084083 118534150086 139066478295 197556916810 203964168166 278132956590 296335375215 305946252249 343030646461 509910420415 592670750430 611892504498 686061292922 1019820840830 1029091939383 1529731261245 1715153232305 2058183878766 3059462522490 3430306464610 3773337111071 5145459696915 7546674222142 10290919393830 11320011333213 18866685555355 22640022666426 37733371110710 56600056666065 113200113332130