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213013011210031 = 4759217573530671
BaseRepresentation
bin110000011011101111110100…
…110111011001111100101111
31000221012211211000000112120201
4300123233310313121330233
5210410001121332210111
62033012454301254331
762603452664463154
oct6033576467317457
91027184730015521
10213013011210031
116196634665478a
121ba834225643a7
1391b206b742536
143a85c55a9222b
151995e55b3e6c1
hexc1bbf4dd9f2f

213013011210031 has 16 divisors (see below), whose sum is σ = 221242640762880. Its totient is φ = 204937768395360.

The previous prime is 213013011210029. The next prime is 213013011210073. The reversal of 213013011210031 is 130012110310312.

It is a cyclic number.

It is not a de Polignac number, because 213013011210031 - 21 = 213013011210029 is a prime.

It is a super-2 number, since 2×2130130112100312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 213013011209990 and 213013011210008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213013011210931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58566826 + ... + 62097496.

It is an arithmetic number, because the mean of its divisors is an integer number (13827665047680).

Almost surely, 2213013011210031 is an apocalyptic number.

213013011210031 is a deficient number, since it is larger than the sum of its proper divisors (8229629552849).

213013011210031 is a wasteful number, since it uses less digits than its factorization.

213013011210031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3552534.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 213013011210031 its reverse (130012110310312), we get a palindrome (343025121520343).

The spelling of 213013011210031 in words is "two hundred thirteen trillion, thirteen billion, eleven million, two hundred ten thousand, thirty-one".

Divisors: 1 47 59 2773 21757 1022579 1283663 3530671 60332161 165941537 208309589 9790550683 76816808947 3610390020509 4532191727873 213013011210031