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122313113 = 13174361211
BaseRepresentation
bin1110100101001…
…01100110011001
322112011011001022
413102211212121
5222303004423
620045332225
73013433666
oct722454631
9275134038
10122313113
116305171a
1234b67075
131c456a30
141235ca6d
15ab10dc8
hex74a5999

122313113 has 32 divisors (see below), whose sum is σ = 145740672. Its totient is φ = 101606400.

The previous prime is 122313071. The next prime is 122313131. The reversal of 122313113 is 311313221.

It is a cyclic number.

It is not a de Polignac number, because 122313113 - 28 = 122312857 is a prime.

It is a super-2 number, since 2×1223131132 = 29920995223501538, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 122313091 and 122313100.

It is not an unprimeable number, because it can be changed into a prime (122313133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 579578 + ... + 579788.

It is an arithmetic number, because the mean of its divisors is an integer number (4554396).

Almost surely, 2122313113 is an apocalyptic number.

122313113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

122313113 is a deficient number, since it is larger than the sum of its proper divisors (23427559).

122313113 is a wasteful number, since it uses less digits than its factorization.

122313113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345.

The product of its digits is 108, while the sum is 17.

The square root of 122313113 is about 11059.5258939974. The cubic root of 122313113 is about 496.3915041651.

Adding to 122313113 its product of digits (108), we get a palindrome (122313221).

Adding to 122313113 its reverse (311313221), we get a palindrome (433626334).

The spelling of 122313113 in words is "one hundred twenty-two million, three hundred thirteen thousand, one hundred thirteen".

Divisors: 1 13 17 43 61 211 221 559 731 793 1037 2623 2743 3587 9073 9503 12871 13481 34099 44591 46631 117949 154241 167323 218807 553453 579683 2005133 2844491 7194889 9408701 122313113