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103303322332100 = 225211137368399207
BaseRepresentation
bin10111011111010000101101…
…110101001110101111000100
3111112202200221011001210022222
4113133100231311032233010
5102020010201004111400
61003412520252311512
730521263425525302
oct2737205565165704
9445680834053288
10103303322332100
112aa08769387460
12b704a61772598
1345845ccba5817
141b71c9c19b272
15be22531d7185
hex5df42dd4ebc4

103303322332100 has 72 divisors (see below), whose sum is σ = 244725252706368. Its totient is φ = 37537484252800.

The previous prime is 103303322332009. The next prime is 103303322332117. The reversal of 103303322332100 is 1233223303301.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 103303322332100.

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, 32689304 + ... + 35709903.

It is an arithmetic number, because the mean of its divisors is an integer number (3398961843144).

Almost surely, 2103303322332100 is an apocalyptic number.

103303322332100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103303322332100 is an abundant number, since it is smaller than the sum of its proper divisors (141421930374268).

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

103303322332100 is a wasteful number, since it uses less digits than its factorization.

103303322332100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68400605 (or 68400598 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 26.

Adding to 103303322332100 its reverse (1233223303301), we get a palindrome (104536545635401).

The spelling of 103303322332100 in words is "one hundred three trillion, three hundred three billion, three hundred twenty-two million, three hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 1373 2746 5492 6865 13730 15103 27460 30206 34325 60412 68650 75515 137300 151030 302060 377575 755150 1510300 68399207 136798414 273596828 341996035 683992070 752391277 1367984140 1504782554 1709980175 3009565108 3419960350 3761956385 6839920700 7523912770 15047825540 18809781925 37619563850 75239127700 93912111211 187824222422 375648444844 469560556055 939121112110 1033033223321 1878242224220 2066066446642 2347802780275 4132132893284 4695605560550 5165166116605 9391211121100 10330332233210 20660664466420 25825830583025 51651661166050 103303322332100