Search a number
-
+
131000121132 = 223157353319681
BaseRepresentation
bin111101000000000110…
…1110011011100101100
3110112010121211122220020
41322000031303130230
54121242012334012
6140103003122140
712315206441256
oct1720015633454
9415117748806
10131000121132
1150614175a21
122147b813350
13c479154b9a
1464aa248cd6
15361aa6aa8c
hex1e8037372c

131000121132 has 48 divisors (see below), whose sum is σ = 307716575712. Its totient is φ = 43374090240.

The previous prime is 131000121053. The next prime is 131000121137. The reversal of 131000121132 is 231121000131.

It is a happy number.

It is a super-2 number, since 2×1310001211322 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131000121137) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6646332 + ... + 6666012.

It is an arithmetic number, because the mean of its divisors is an integer number (6410761994).

Almost surely, 2131000121132 is an apocalyptic number.

131000121132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131000121132 is an abundant number, since it is smaller than the sum of its proper divisors (176716454580).

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

131000121132 is a wasteful number, since it uses less digits than its factorization.

131000121132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23378 (or 23376 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 131000121132 its reverse (231121000131), we get a palindrome (362121121263).

The spelling of 131000121132 in words is "one hundred thirty-one billion, one hundred twenty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 157 314 471 628 942 1884 3533 7066 10599 14132 19681 21198 39362 42396 59043 78724 118086 236172 554681 1109362 1664043 2218724 3089917 3328086 6179834 6656172 9269751 12359668 18539502 37079004 69532973 139065946 208598919 278131892 417197838 834395676 10916676761 21833353522 32750030283 43666707044 65500060566 131000121132