Search a number
-
+
131213003100 = 22352437376677
BaseRepresentation
bin111101000110011100…
…1111000100101011100
3110112200110102012001120
41322030321320211130
54122211012044400
6140140050010540
712323403060354
oct1721471704534
9415613365046
10131213003100
1150713357333
122151ab76a50
13c4b129c74a
1464ca621b64
15362e5bbca0
hex1e8ce7895c

131213003100 has 36 divisors (see below), whose sum is σ = 379642956504. Its totient is φ = 34990134080.

The previous prime is 131213003093. The next prime is 131213003101. The reversal of 131213003100 is 1300312131.

It is a super-2 number, since 2×1312130031002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 131213003100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131213003101) 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, 218688039 + ... + 218688638.

Almost surely, 2131213003100 is an apocalyptic number.

131213003100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131213003100 is an abundant number, since it is smaller than the sum of its proper divisors (248429953404).

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

131213003100 is a wasteful number, since it uses less digits than its factorization.

131213003100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437376694 (or 437376687 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 131213003100 its reverse (1300312131), we get a palindrome (132513315231).

The spelling of 131213003100 in words is "one hundred thirty-one billion, two hundred thirteen million, three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 437376677 874753354 1312130031 1749506708 2186883385 2624260062 4373766770 5248520124 6560650155 8747533540 10934416925 13121300310 21868833850 26242600620 32803250775 43737667700 65606501550 131213003100