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131112333330 = 235115319073931
BaseRepresentation
bin111101000011011100…
…1110111000000010010
3110112102102222122002120
41322012321313000102
54122004224131310
6140122052155110
712321041305446
oct1720671670022
9415372878076
10131112333330
1150671548680
12214b1308a96
13c496483134
1464bb0d8826
153625833b70
hex1e86e77012

131112333330 has 128 divisors (see below), whose sum is σ = 350025255936. Its totient is φ = 31160812800.

The previous prime is 131112333329. The next prime is 131112333343. The reversal of 131112333330 is 33333211131.

It is a self number, because there is not a number n which added to its sum of digits gives 131112333330.

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, 33351465 + ... + 33355395.

It is an arithmetic number, because the mean of its divisors is an integer number (2734572312).

Almost surely, 2131112333330 is an apocalyptic number.

131112333330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131112333330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175012627968).

131112333330 is an abundant number, since it is smaller than the sum of its proper divisors (218912922606).

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

131112333330 is a wasteful number, since it uses less digits than its factorization.

131112333330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5912.

The product of its (nonzero) digits is 1458, while the sum is 24.

Adding to 131112333330 its reverse (33333211131), we get a palindrome (164445544461).

The spelling of 131112333330 in words is "one hundred thirty-one billion, one hundred twelve million, three hundred thirty-three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 53 55 66 106 110 159 165 265 318 330 530 583 795 1166 1590 1749 1907 2915 3498 3814 3931 5721 5830 7862 8745 9535 11442 11793 17490 19070 19655 20977 23586 28605 39310 41954 43241 57210 58965 62931 86482 101071 104885 117930 125862 129723 202142 208343 209770 216205 259446 303213 314655 416686 432410 505355 606426 625029 629310 648615 1010710 1041715 1111781 1250058 1297230 1516065 2083430 2223562 2291773 3032130 3125145 3335343 4583546 5558905 6250290 6670686 6875319 7496417 11117810 11458865 13750638 14992834 16676715 22489251 22917730 33353430 34376595 37482085 44978502 68753190 74964170 82460587 112446255 164921174 224892510 247381761 397310101 412302935 494763522 794620202 824605870 1191930303 1236908805 1986550505 2383860606 2473817610 3973101010 4370411111 5959651515 8740822222 11919303030 13111233333 21852055555 26222466666 43704111110 65556166665 131112333330