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103211011222220 = 2251121910122224689
BaseRepresentation
bin10111011101111010101111…
…101010010010101011001100
3111112102212122211102112110102
4113131322233222102223030
5102012002122333102340
61003302252313030232
730511515034166126
oct2735725752225314
9445385584375412
10103211011222220
112a9825a9147300
12b6aab9a9b5378
1345789ab31b605
141b6b62237c216
15bdeb4dee2215
hex5ddeafa92acc

103211011222220 has 144 divisors (see below), whose sum is σ = 253260121413600. Its totient is φ = 35203905792000.

The previous prime is 103211011222177. The next prime is 103211011222237. The reversal of 103211011222220 is 22222110112301.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 103211011222192 and 103211011222201.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6468365 + ... + 15756324.

It is an arithmetic number, because the mean of its divisors is an integer number (1758750843150).

Almost surely, 2103211011222220 is an apocalyptic number.

103211011222220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103211011222220 is an abundant number, since it is smaller than the sum of its proper divisors (150049110191380).

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

103211011222220 is a wasteful number, since it uses less digits than its factorization.

103211011222220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22224840 (or 22224827 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 103211011222220 its reverse (22222110112301), we get a palindrome (125433121334521).

The spelling of 103211011222220 in words is "one hundred three trillion, two hundred eleven billion, eleven million, two hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 101 110 121 190 202 209 220 242 380 404 418 484 505 605 836 1010 1045 1111 1210 1919 2020 2090 2222 2299 2420 3838 4180 4444 4598 5555 7676 9196 9595 11110 11495 12221 19190 21109 22220 22990 24442 38380 42218 45980 48884 61105 84436 105545 122210 211090 232199 244420 422180 464398 928796 1160995 2321990 4643980 22224689 44449378 88898756 111123445 222246890 244471579 422269091 444493780 488943158 844538182 977886316 1222357895 1689076364 2111345455 2244693589 2444715790 2689187369 4222690910 4489387178 4644960001 4889431580 5378374738 8445381820 8978774356 9289920002 10756749476 11223467945 13445936845 18579840004 22446935890 23224800005 24691629479 26891873690 42649178191 44893871780 46449600010 49383258958 51094560011 53783747380 85298356382 92899200020 98766517916 102189120022 123458147395 170596712764 204378240044 213245890955 246916294790 255472800055 271607924269 426491781910 469140960101 493832589580 510945600110 543215848538 852983563820 938281920202 1021891200220 1086431697076 1358039621345 1876563840404 2345704800505 2716079242690 4691409601010 5160550561111 5432158485380 9382819202020 10321101122222 20642202244444 25802752805555 51605505611110 103211011222220