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103312212230031 = 3737414463726641
BaseRepresentation
bin10111011111011000111111…
…101101011111111110001111
3111112210112212200222101200220
4113133120333231133332033
5102020131402312330111
61003420550341522423
730522026633441130
oct2737307755377617
9445715780871626
10103312212230031
112aa11510507342
12b706722a13413
1345853b88b615c
141b724a2b11c87
15be25c38b5e06
hex5df63fb5ff8f

103312212230031 has 64 divisors (see below), whose sum is σ = 165663772839936. Its totient is φ = 56026385510400.

The previous prime is 103312212229979. The next prime is 103312212230063. The reversal of 103312212230031 is 130032212213301.

It is not a de Polignac number, because 103312212230031 - 27 = 103312212229903 is a prime.

It is a super-2 number, since 2×1033122122300312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103312212229983 and 103312212230010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103312212230131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 141814471 + ... + 142541111.

It is an arithmetic number, because the mean of its divisors is an integer number (2588496450624).

Almost surely, 2103312212230031 is an apocalyptic number.

103312212230031 is a deficient number, since it is larger than the sum of its proper divisors (62351560609905).

103312212230031 is a wasteful number, since it uses less digits than its factorization.

103312212230031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731192.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 103312212230031 its reverse (130032212213301), we get a palindrome (233344424443332).

The spelling of 103312212230031 in words is "one hundred three trillion, three hundred twelve billion, two hundred twelve million, two hundred thirty thousand, thirty-one".

Divisors: 1 3 7 21 37 41 111 123 259 287 777 861 1517 4463 4551 10619 13389 31241 31857 93723 165131 182983 495393 548949 726641 1155917 1280881 2179923 3467751 3842643 5086487 6770371 15259461 20311113 26885717 29792281 47392597 80657151 89376843 142177791 188200019 208545967 564600057 625637901 1102314397 3242998783 3306943191 7716200779 9728996349 22700991481 23148602337 68102974443 119990954971 132962950103 359972864913 398888850309 839936684797 930740650721 2519810054391 2792221952163 4919629153811 14758887461433 34437404076677 103312212230031