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122002013 = 761761
BaseRepresentation
bin1110100010110…
…01101001011101
322111120100022002
413101121221131
5222213031023
620034532045
73011000000
oct721315135
9274510262
10122002013
1162959a11
1234a37025
131c378253
14122bb537
15aa9db28
hex7459a5d

122002013 has 28 divisors (see below), whose sum is σ = 153178812. Its totient is φ = 96808320.

The previous prime is 122002009. The next prime is 122002039. The reversal of 122002013 is 310200221.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 42471289 + 79530724 = 6517^2 + 8918^2 .

It is not a de Polignac number, because 122002013 - 22 = 122002009 is a prime.

It is a Duffinian number.

122002013 is a modest number, since divided by 2013 gives 122 as remainder.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 122001985 and 122002003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122002093) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 2000003 + ... + 2000063.

Almost surely, 2122002013 is an apocalyptic number.

It is an amenable number.

122002013 is a deficient number, since it is larger than the sum of its proper divisors (31176799).

122002013 is an frugal number, since it uses more digits than its factorization.

122002013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 122002013 is about 11045.4521410398. The cubic root of 122002013 is about 495.9702941908.

Adding to 122002013 its reverse (310200221), we get a palindrome (432202234).

The spelling of 122002013 in words is "one hundred twenty-two million, two thousand, thirteen".

Divisors: 1 7 17 49 61 119 343 427 833 1037 2401 2989 5831 7259 16807 20923 40817 50813 117649 146461 285719 355691 1025227 2000033 2489837 7176589 17428859 122002013