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110320313211031 = 7112316168878003
BaseRepresentation
bin11001000101010111110011…
…000101001001100010010111
3112110121112000022100211212111
4121011113303011021202113
5103424442000140223111
61030344241403331451
732144244130060630
oct3105276305114227
9473545008324774
10110320313211031
1132173644843600
1210458995820b87
13497321264ca61
141d35762bba887
15cb4a403aaa21
hex6455f3149897

110320313211031 has 48 divisors (see below), whose sum is σ = 145399813371904. Its totient is φ = 81827066376000.

The previous prime is 110320313211007. The next prime is 110320313211071. The reversal of 110320313211031 is 130112313023011.

It is not a de Polignac number, because 110320313211031 - 29 = 110320313210519 is a prime.

It is a super-2 number, since 2×1103203132110312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 110320313210993 and 110320313211011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110320313211071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32837325 + ... + 36040678.

Almost surely, 2110320313211031 is an apocalyptic number.

110320313211031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

110320313211031 is a deficient number, since it is larger than the sum of its proper divisors (35079500160873).

110320313211031 is a wasteful number, since it uses less digits than its factorization.

110320313211031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68878124 (or 68878113 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 110320313211031 its reverse (130112313023011), we get a palindrome (240432626234042).

The spelling of 110320313211031 in words is "one hundred ten trillion, three hundred twenty billion, three hundred thirteen million, two hundred eleven thousand, thirty-one".

Divisors: 1 7 11 31 61 77 121 217 341 427 671 847 1891 2387 3751 4697 7381 13237 20801 26257 51667 145607 228811 1601677 68878003 482146021 757658033 2135218093 4201558183 5303606231 8334238363 14946526651 23487399023 29410907281 46217140013 58339668541 130248303673 164411793161 258361389253 323519980091 508388540143 911738125711 1432731340403 1808529724771 3558719781001 10029119382821 15760044744433 110320313211031