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103222312221330 = 233511293329101719
BaseRepresentation
bin10111011110000101010001…
…010000001011101010010010
3111112110221211102020202212000
4113132011101100023222102
5102012143243412040310
61003311401532414430
730512365060122321
oct2736052120135222
9445427742222760
10103222312221330
112a987378281195
12b6b1213617416
134579a8c703733
141b6bdb52020b8
15be00b11db4c0
hex5de15140ba92

103222312221330 has 128 divisors (see below), whose sum is σ = 275588775360000. Its totient is φ = 27493037604864.

The previous prime is 103222312221311. The next prime is 103222312221331. The reversal of 103222312221330 is 33122213222301.

103222312221330 is a `hidden beast` number, since 1 + 0 + 322 + 2 + 3 + 1 + 2 + 2 + 2 + 1 + 330 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 103222312221294 and 103222312221303.

It is not an unprimeable number, because it can be changed into a prime (103222312221331) 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, 1014728211 + ... + 1014829929.

It is an arithmetic number, because the mean of its divisors is an integer number (2153037307500).

Almost surely, 2103222312221330 is an apocalyptic number.

103222312221330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

103222312221330 is an abundant number, since it is smaller than the sum of its proper divisors (172366463138670).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

103222312221330 is a wasteful number, since it uses less digits than its factorization.

103222312221330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106193 (or 106187 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 103222312221330 its reverse (33122213222301), we get a palindrome (136344525443631).

The spelling of 103222312221330 in words is "one hundred three trillion, two hundred twenty-two billion, three hundred twelve million, two hundred twenty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 1129 2258 3329 3387 5645 6658 6774 9987 10161 11290 16645 16935 19974 20322 29961 30483 33290 33870 49935 50805 59922 60966 89883 99870 101610 101719 149805 152415 179766 203438 299610 304830 305157 449415 508595 610314 898830 915471 1017190 1525785 1830942 2746413 3051570 3758441 4577355 5492826 7516882 9154710 11275323 13732065 18792205 22550646 27464130 33825969 37584410 56376615 67651938 101477907 112753230 114840751 169129845 202955814 229681502 338259690 338622551 344522253 507389535 574203755 677245102 689044506 1014779070 1015867653 1033566759 1148407510 1693112755 1722611265 2031735306 2067133518 3047602959 3100700277 3386225510 3445222530 5079338265 5167833795 6095205918 6201400554 9142808877 10158676530 10335667590 15238014795 15503501385 18285617754 30476029590 31007002770 45714044385 91428088770 382304860079 764609720158 1146914580237 1911524300395 2293829160474 3440743740711 3823048600790 5734572901185 6881487481422 10322231222133 11469145802370 17203718703555 20644462444266 34407437407110 51611156110665 103222312221330