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131130000213 = 3100943320119
BaseRepresentation
bin111101000011111110…
…1010000001101010101
3110112110200020012111120
41322013331100031111
54122023240001323
6140123522554153
712321344416422
oct1720775201525
9415420205446
10131130000213
1150680515003
12214b7208959
13c49a02a604
1464bd5b6d49
1536271735e3
hex1e87f50355

131130000213 has 8 divisors (see below), whose sum is σ = 175013284800. Its totient is φ = 87333357888.

The previous prime is 131130000187. The next prime is 131130000269. The reversal of 131130000213 is 312000031131.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 131130000213 - 220 = 131128951637 is a prime.

It is a super-2 number, since 2×1311300002132 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131130000192 and 131130000201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131130001213) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21657033 + ... + 21663086.

It is an arithmetic number, because the mean of its divisors is an integer number (21876660600).

Almost surely, 2131130000213 is an apocalyptic number.

It is an amenable number.

131130000213 is a deficient number, since it is larger than the sum of its proper divisors (43883284587).

131130000213 is a wasteful number, since it uses less digits than its factorization.

131130000213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43321131.

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

Adding to 131130000213 its reverse (312000031131), we get a palindrome (443130031344).

The spelling of 131130000213 in words is "one hundred thirty-one billion, one hundred thirty million, two hundred thirteen", and thus it is an aban number.

Divisors: 1 3 1009 3027 43320119 129960357 43710000071 131130000213