Search a number
-
+
131000022 = 23219383041
BaseRepresentation
bin1111100111011…
…10011011010110
3100010111111020200
413303232123112
5232014000042
620555441330
73150324156
oct763563326
9303444220
10131000022
1167a4528a
1237a56246
13211a8a0a
1413580766
15b779c4c
hex7cee6d6

131000022 has 24 divisors (see below), whose sum is σ = 298772760. Its totient is φ = 41368320.

The previous prime is 131000021. The next prime is 131000057. The reversal of 131000022 is 220000131.

It is a happy number.

It is a super-2 number, since 2×1310000222 = 34322011528000968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 130999968 and 131000013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131000021) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 191179 + ... + 191862.

It is an arithmetic number, because the mean of its divisors is an integer number (12448865).

Almost surely, 2131000022 is an apocalyptic number.

131000022 is an abundant number, since it is smaller than the sum of its proper divisors (167772738).

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

131000022 is a wasteful number, since it uses less digits than its factorization.

131000022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383068 (or 383065 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 131000022 is about 11445.5241033340. The cubic root of 131000022 is about 507.8753362439.

Adding to 131000022 its reverse (220000131), we get a palindrome (351000153).

The spelling of 131000022 in words is "one hundred thirty-one million, twenty-two", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 383041 766082 1149123 2298246 3447369 6894738 7277779 14555558 21833337 43666674 65500011 131000022