Search a number
-
+
130111043202 = 23374322933491
BaseRepresentation
bin111100100101100111…
…0001111011010000010
3110102211122212211021000
41321023032033122002
54112431411340302
6135434443112430
712254162422320
oct1711316173202
9412748784230
10130111043202
11501a8323578
1221271b12716
13c366bb397a
146424132d10
1535b799a31c
hex1e4b38f682

130111043202 has 128 divisors (see below), whose sum is σ = 338369771520. Its totient is φ = 36283826880.

The previous prime is 130111043201. The next prime is 130111043207. The reversal of 130111043202 is 202340111031.

It is a super-2 number, since 2×1301110432022 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (130111043201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37268677 + ... + 37272167.

It is an arithmetic number, because the mean of its divisors is an integer number (2643513840).

Almost surely, 2130111043202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130111043202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169184885760).

130111043202 is an abundant number, since it is smaller than the sum of its proper divisors (208258728318).

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

130111043202 is a wasteful number, since it uses less digits than its factorization.

130111043202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5845 (or 5839 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 130111043202 its reverse (202340111031), we get a palindrome (332451154233).

The spelling of 130111043202 in words is "one hundred thirty billion, one hundred eleven million, forty-three thousand, two hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 43 54 63 86 126 129 189 258 301 378 387 602 774 903 1161 1806 2293 2322 2709 3491 4586 5418 6879 6982 8127 10473 13758 16051 16254 20637 20946 24437 31419 32102 41274 48153 48874 61911 62838 73311 94257 96306 98599 123822 144459 146622 150113 188514 197198 219933 288918 295797 300226 433377 439866 450339 591594 659799 690193 866754 887391 900678 1050791 1319598 1351017 1380386 1774782 2070579 2101582 2662173 2702034 3152373 4053051 4141158 5324346 6211737 6304746 8004863 8106102 9457119 12423474 16009726 18635211 18914238 24014589 28371357 37270422 48029178 56034041 56742714 72043767 112068082 144087534 168102123 216131301 336204246 344209109 432262602 504306369 688418218 1008612738 1032627327 1512919107 2065254654 2409463763 3025838214 3097881981 4818927526 6195763962 7228391289 9293645943 14456782578 18587291886 21685173867 43370347734 65055521601 130111043202