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103030133220222 = 231319414433827617
BaseRepresentation
bin10111011011010010010010…
…011111011110001101111110
3111111210120210010112222220020
4113123102102133132031332
5102001021203101021342
61003043220105433010
730462452514430335
oct2733222237361576
9444716703488806
10103030133220222
112a91291a23823a
12b67bb1b19b766
134564913813370
141b62983b10d1c
15bda0b46a50ec
hex5db4927de37e

103030133220222 has 128 divisors (see below), whose sum is σ = 239828132759040. Its totient is φ = 29234412380160.

The previous prime is 103030133220173. The next prime is 103030133220227. The reversal of 103030133220222 is 222022331030301.

It is a junction number, because it is equal to n+sod(n) for n = 103030133220192 and 103030133220201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103030133220227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25003758 + ... + 28831374.

It is an arithmetic number, because the mean of its divisors is an integer number (1873657287180).

Almost surely, 2103030133220222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103030133220222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119914066379520).

103030133220222 is an abundant number, since it is smaller than the sum of its proper divisors (136797999538818).

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

103030133220222 is a wasteful number, since it uses less digits than its factorization.

103030133220222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3828138.

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 103030133220222 its reverse (222022331030301), we get a palindrome (325052464250523).

The spelling of 103030133220222 in words is "one hundred three trillion, thirty billion, one hundred thirty-three million, two hundred twenty thousand, two hundred twenty-two".

Divisors: 1 2 3 6 13 19 26 38 39 41 57 78 82 114 123 246 247 443 494 533 741 779 886 1066 1329 1482 1558 1599 2337 2658 3198 4674 5759 8417 10127 11518 16834 17277 18163 20254 25251 30381 34554 36326 50502 54489 60762 108978 109421 218842 236119 328263 345097 472238 656526 690194 708357 1035291 1416714 2070582 3827617 4486261 7655234 8972522 11482851 13458783 22965702 26917566 49759021 72724723 99518042 145449446 149277063 156932297 218174169 298554126 313864594 436348338 470796891 941593782 945421399 1695634331 1890842798 2040119861 2836264197 2981713643 3391268662 4080239722 5086902993 5672528394 5963427286 6120359583 8945140929 10173805986 12240719166 17890281858 22043246303 32217052289 38762277359 44086492606 64434104578 66129738909 69521007571 77524554718 96651156867 116286832077 132259477818 139042015142 193302313734 208563022713 232573664154 417126045426 418821679757 837643359514 903773098423 1256465039271 1320899143849 1807546196846 2512930078542 2641798287698 2711319295269 3962697431547 5422638590538 7925394863094 17171688870037 34343377740074 51515066610111 103030133220222