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122110112032031 = 31371231130766169
BaseRepresentation
bin11011110000111011111001…
…110110011110010100011111
3121000100121112122211200100002
4123300323321312132110133
5112001123002140011111
61111412335552524515
734502110260416534
oct3360737166362437
9530317478750302
10122110112032031
11359a9675924462
121184191155073b
135319c1b455186
142222237946d8b
15e1b56e4aa63b
hex6f0ef9d9e51f

122110112032031 has 32 divisors (see below), whose sum is σ = 129662132920320. Its totient is φ = 114794227987200.

The previous prime is 122110112032009. The next prime is 122110112032067. The reversal of 122110112032031 is 130230211011221.

It is a cyclic number.

It is not a de Polignac number, because 122110112032031 - 210 = 122110112031007 is a prime.

It is a super-2 number, since 2×1221101120320312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122110112031994 and 122110112032012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122110112082031) 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, 1845394715 + ... + 1845460883.

It is an arithmetic number, because the mean of its divisors is an integer number (4051941653760).

Almost surely, 2122110112032031 is an apocalyptic number.

122110112032031 is a deficient number, since it is larger than the sum of its proper divisors (7552020888289).

122110112032031 is a wasteful number, since it uses less digits than its factorization.

122110112032031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68775.

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 122110112032031 its reverse (130230211011221), we get a palindrome (252340323043252).

The spelling of 122110112032031 in words is "one hundred twenty-two trillion, one hundred ten billion, one hundred twelve million, thirty-two thousand, thirty-one".

Divisors: 1 31 37 1147 1231 1307 38161 40517 45547 48359 66169 1411957 1499129 1608917 2051239 2448253 49876427 59529929 75895843 81454039 86482883 1845427799 2525075209 2680969373 3013799443 3199866671 93427782733 99195866801 106460428973 3300273298163 3939035872001 122110112032031