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122113013 = 1173241631
BaseRepresentation
bin1110100011101…
…00101111110101
322111202222120012
413101310233311
5222230104023
620041150005
73011641421
oct721645765
9274688505
10122113013
1162a25350
1234a8b305
131c3b6929
1412309b81
15aac1978
hex7474bf5

122113013 has 16 divisors (see below), whose sum is σ = 135814272. Its totient is φ = 108864000.

The previous prime is 122112979. The next prime is 122113087. The reversal of 122113013 is 310311221.

It is a cyclic number.

It is not a de Polignac number, because 122113013 - 214 = 122096629 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122113093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 193208 + ... + 193838.

It is an arithmetic number, because the mean of its divisors is an integer number (8488392).

Almost surely, 2122113013 is an apocalyptic number.

It is an amenable number.

122113013 is a deficient number, since it is larger than the sum of its proper divisors (13701259).

122113013 is a wasteful number, since it uses less digits than its factorization.

122113013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956.

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 122113013 is about 11050.4756911185. The cubic root of 122113013 is about 496.1206633356.

Adding to 122113013 its reverse (310311221), we get a palindrome (432424234).

The spelling of 122113013 in words is "one hundred twenty-two million, one hundred thirteen thousand, thirteen".

Divisors: 1 11 73 241 631 803 2651 6941 17593 46063 152071 193523 506693 1672781 11101183 122113013