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103323221123300 = 225254117293110441
BaseRepresentation
bin10111011111100011001111…
…111001000110000011100100
3111112211121021221011010012122
4113133203033321012003210
5102020321424101421200
61003430011004405112
730522566511463643
oct2737431771060344
9445747257133178
10103323221123300
112aa1614a769842
12b708895846798
134586451605699
141b72c28c5935a
15be2a1a110385
hex5df8cfe460e4

103323221123300 has 72 divisors (see below), whose sum is σ = 224640852060072. Its totient is φ = 41250135168000.

The previous prime is 103323221123273. The next prime is 103323221123347. The reversal of 103323221123300 is 3321122323301.

It can be written as a sum of positive squares in 12 ways, for example, as 77990199414436 + 25333021708864 = 8831206^2 + 5033192^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 103323221123300.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 935496080 + ... + 935606520.

Almost surely, 2103323221123300 is an apocalyptic number.

103323221123300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103323221123300 is an abundant number, since it is smaller than the sum of its proper divisors (121317630936772).

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

103323221123300 is a wasteful number, since it uses less digits than its factorization.

103323221123300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128289 (or 128282 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 26.

Adding to 103323221123300 its reverse (3321122323301), we get a palindrome (106644343446601).

The spelling of 103323221123300 in words is "one hundred three trillion, three hundred twenty-three billion, two hundred twenty-one million, one hundred twenty-three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 541 1082 2164 2705 5410 10820 13525 17293 27050 34586 54100 69172 86465 110441 172930 220882 345860 432325 441764 552205 864650 1104410 1729300 2208820 2761025 5522050 9355513 11044100 18711026 37422052 46777565 59748581 93555130 119497162 187110260 233887825 238994324 298742905 467775650 597485810 935551300 1194971620 1493714525 1909856213 2987429050 3819712426 5974858100 7639424852 9549281065 19098562130 38197124260 47746405325 95492810650 190985621300 1033232211233 2066464422466 4132928844932 5166161056165 10332322112330 20664644224660 25830805280825 51661610561650 103323221123300