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111020310113031 = 32112414799714371
BaseRepresentation
bin11001001111100011101110…
…001001011010101100000111
3112120002102211022000211221200
4121033203232021122230013
5104022424043342104111
61032042005410313543
732245644531422244
oct3117435611325407
9476072738024850
10111020310113031
11324134a3846670
12105505912888b3
1349c422a273857
141d5b5a99165cb
15cc7d5e050256
hex64f8ee25ab07

111020310113031 has 48 divisors (see below), whose sum is σ = 176033746437120. Its totient is φ = 66865951584000.

The previous prime is 111020310113023. The next prime is 111020310113057. The reversal of 111020310113031 is 130311013020111.

111020310113031 is a `hidden beast` number, since 11 + 10 + 20 + 310 + 11 + 303 + 1 = 666.

It is not a de Polignac number, because 111020310113031 - 23 = 111020310113023 is a prime.

It is a super-2 number, since 2×1110203101130312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 111020310112995 and 111020310113013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111020310111031) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6571276 + ... + 16285646.

It is an arithmetic number, because the mean of its divisors is an integer number (3667369717440).

Almost surely, 2111020310113031 is an apocalyptic number.

111020310113031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

111020310113031 is a deficient number, since it is larger than the sum of its proper divisors (65013436324089).

111020310113031 is a wasteful number, since it uses less digits than its factorization.

111020310113031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9715108 (or 9715105 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 111020310113031 its reverse (130311013020111), we get a palindrome (241331323133142).

The spelling of 111020310113031 in words is "one hundred eleven trillion, twenty billion, three hundred ten million, one hundred thirteen thousand, thirty-one".

Divisors: 1 3 9 11 33 99 241 479 723 1437 2169 2651 4311 5269 7953 15807 23859 47421 115439 346317 1038951 1269829 3809487 9714371 11428461 29143113 87429339 106858081 320574243 961722729 2341163411 4653183709 7023490233 13959551127 21070470699 25752797521 41878653381 51185020799 77258392563 153555062397 231775177689 460665187191 1121417273869 3364251821607 10092755464821 12335590012559 37006770037677 111020310113031