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122123013 = 3195933613
BaseRepresentation
bin1110100011101…
…11001100000101
322111210111021120
413101313030011
5222230414023
620041304153
73012012525
oct721671405
9274714246
10122123013
1162a31911
1234a95059
131c3bb34c
141230d685
15aac48e3
hex7477305

122123013 has 16 divisors (see below), whose sum is σ = 171737280. Its totient is φ = 76978944.

The previous prime is 122123011. The next prime is 122123017. The reversal of 122123013 is 310321221.

It is not a de Polignac number, because 122123013 - 21 = 122123011 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122122983 and 122123001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122123011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31995 + ... + 35607.

It is an arithmetic number, because the mean of its divisors is an integer number (10733580).

Almost surely, 2122123013 is an apocalyptic number.

It is an amenable number.

122123013 is a deficient number, since it is larger than the sum of its proper divisors (49614267).

122123013 is a wasteful number, since it uses less digits than its factorization.

122123013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4228.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 122123013 is about 11050.9281510650. The cubic root of 122123013 is about 496.1342056302.

Adding to 122123013 its reverse (310321221), we get a palindrome (432444234).

It can be divided in two parts, 12212 and 3013, that added together give a triangular number (15225 = T174).

The spelling of 122123013 in words is "one hundred twenty-two million, one hundred twenty-three thousand, thirteen".

Divisors: 1 3 19 57 593 1779 3613 10839 11267 33801 68647 205941 2142509 6427527 40707671 122123013