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10312223103 = 33713172391033
BaseRepresentation
bin10011001101010100…
…00000100101111111
3222121200021012201000
421212222000211333
5132104412114403
64423134421343
7513355310250
oct114652004577
928550235630
1010312223103
114411a87936
121bb9661853
13c845a7980
146db7d8b27
154054d37a3
hex266a8097f

10312223103 has 128 divisors (see below), whose sum is σ = 20011622400. Its totient is φ = 5093093376.

The previous prime is 10312223023. The next prime is 10312223107. The reversal of 10312223103 is 30132221301.

10312223103 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10312223103 - 28 = 10312222847 is a prime.

It is a super-3 number, since 3×103122231033 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10312223107) 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 127 ways as a sum of consecutive naturals, for example, 9982275 + ... + 9983307.

It is an arithmetic number, because the mean of its divisors is an integer number (156340800).

Almost surely, 210312223103 is an apocalyptic number.

10312223103 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10312223103 is a deficient number, since it is larger than the sum of its proper divisors (9699399297).

10312223103 is a wasteful number, since it uses less digits than its factorization.

10312223103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1318 (or 1312 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10312223103 its reverse (30132221301), we get a palindrome (40444444404).

The spelling of 10312223103 in words is "ten billion, three hundred twelve million, two hundred twenty-three thousand, one hundred three".

Divisors: 1 3 7 9 13 17 21 27 39 51 63 91 117 119 153 189 221 239 273 351 357 459 663 717 819 1033 1071 1547 1673 1989 2151 2457 3099 3107 3213 4063 4641 5019 5967 6453 7231 9297 9321 12189 13429 13923 15057 17561 21693 21749 27891 27963 28441 36567 40287 41769 45171 52683 52819 65079 65247 83889 85323 94003 109701 120861 122927 158049 158457 195237 195741 228293 246887 255969 282009 362583 368781 369733 474147 475371 587223 684879 740661 767907 846027 1106343 1109199 1426113 1598051 1728209 2054637 2221983 2538081 3209531 3319029 3327597 4197079 4794153 5184627 6163911 6665949 9628593 9982791 12591237 14382459 15553881 22466717 28885779 29379553 37773711 43147377 46661643 54562027 67400151 86657337 88138659 113321133 163686081 202200453 264415977 381934189 491058243 606601359 793247931 1145802567 1473174729 3437407701 10312223103