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101213013 = 3114371327
BaseRepresentation
bin1100000100001…
…10001101010101
321001110011011010
412002012031111
5201402304023
614013202433
72336203446
oct602061525
9231404133
10101213013
115214a920
1229a90419
1317c79975
14d6292cd
158d44093
hex6086355

101213013 has 16 divisors (see below), whose sum is σ = 150644736. Its totient is φ = 59913840.

The previous prime is 101213003. The next prime is 101213017. The reversal of 101213013 is 310312101.

It is not a de Polignac number, because 101213013 - 212 = 101208917 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101213013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101213017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34245 + ... + 37082.

It is an arithmetic number, because the mean of its divisors is an integer number (9415296).

Almost surely, 2101213013 is an apocalyptic number.

It is an amenable number.

101213013 is a deficient number, since it is larger than the sum of its proper divisors (49431723).

101213013 is a wasteful number, since it uses less digits than its factorization.

101213013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71384.

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 101213013 is about 10060.4678320643. The cubic root of 101213013 is about 466.0281148037.

Adding to 101213013 its reverse (310312101), we get a palindrome (411525114).

The spelling of 101213013 in words is "one hundred one million, two hundred thirteen thousand, thirteen".

Divisors: 1 3 11 33 43 129 473 1419 71327 213981 784597 2353791 3067061 9201183 33737671 101213013