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131200330122 = 23834928649
BaseRepresentation
bin111101000110000100…
…1100010100110001010
3110112122120120100000000
41322030021202212022
54122144241030442
6140134514223430
712323160256041
oct1721411424612
9415576510000
10131200330122
11507071909a4
1221516884b76
13c4ab783344
1464c8a83558
15362d416d4c
hex1e8c26298a

131200330122 has 72 divisors (see below), whose sum is σ = 296041882500. Its totient is φ = 43606610496.

The previous prime is 131200330111. The next prime is 131200330123. The reversal of 131200330122 is 221033002131.

131200330122 is a `hidden beast` number, since 1 + 312 + 0 + 0 + 330 + 1 + 22 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 129865816161 + 1334513961 = 360369^2 + 36531^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 131200330095 and 131200330104.

It is not an unprimeable number, because it can be changed into a prime (131200330123) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4565254 + ... + 4593902.

Almost surely, 2131200330122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131200330122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148020941250).

131200330122 is an abundant number, since it is smaller than the sum of its proper divisors (164841552378).

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

131200330122 is an frugal number, since it uses more digits than its factorization.

131200330122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29024 (or 29003 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 131200330122 its reverse (221033002131), we get a palindrome (352233332253).

The spelling of 131200330122 in words is "one hundred thirty-one billion, two hundred million, three hundred thirty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 349 486 698 729 1047 1458 2094 2187 3141 4374 6282 6561 9423 13122 18846 28269 28649 56538 57298 84807 85947 169614 171894 254421 257841 508842 515682 763263 773523 1526526 1547046 2289789 2320569 4579578 4641138 6961707 9998501 13923414 19997002 20885121 29995503 41770242 59991006 62655363 89986509 125310726 179973018 187966089 269959527 375932178 539919054 809878581 1619757162 2429635743 4859271486 7288907229 14577814458 21866721687 43733443374 65600165061 131200330122