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110022321013031 = 7618913122099967
BaseRepresentation
bin11001000001000010010001…
…010111001000000100100111
3112102120000211201110201200102
4121001002101113020010213
5103410101203134404111
61025555320112334315
732113564452143360
oct3101022127100447
9472500751421612
10110022321013031
1132069227a326a9
121040b09084439b
1349510a279a78b
141d251745a4b67
15cabdee10113b
hex6410915c8127

110022321013031 has 32 divisors (see below), whose sum is σ = 130223619440640. Its totient is φ = 91016499974400.

The previous prime is 110022321013027. The next prime is 110022321013093. The reversal of 110022321013031 is 130310123220011.

It is a happy number.

It is not a de Polignac number, because 110022321013031 - 22 = 110022321013027 is a prime.

It is a super-2 number, since 2×1100223210130312 (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 = 110022321012994 and 110022321013012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110022321016031) 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 31 ways as a sum of consecutive naturals, for example, 6071591 + ... + 16028376.

It is an arithmetic number, because the mean of its divisors is an integer number (4069488107520).

Almost surely, 2110022321013031 is an apocalyptic number.

110022321013031 is a deficient number, since it is larger than the sum of its proper divisors (20201298427609).

110022321013031 is a wasteful number, since it uses less digits than its factorization.

110022321013031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22100255.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 110022321013031 its reverse (130310123220011), we get a palindrome (240332444233042).

The spelling of 110022321013031 in words is "one hundred ten trillion, twenty-two billion, three hundred twenty-one million, thirteen thousand, thirty-one".

Divisors: 1 7 61 89 131 427 623 917 5429 7991 11659 38003 55937 81613 711199 4978393 22099967 154699769 1348097987 1966897063 2895095677 9436685909 13768279441 20265669739 119980720843 176600836297 257663515253 839865045901 1236205854079 1803644606771 15717474430433 110022321013031