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103332003303100 = 225211137226014217
BaseRepresentation
bin10111011111101011011011…
…010110011100111010111100
3111112212102221222101002002011
4113133223123112130322330
5102020442420321144400
61003434022245141004
730523330241000455
oct2737533326347274
9445772858332064
10103332003303100
112aa19947006480
12b70a5269ba764
134587220bcc490
141b7341d37012c
15be2d811128ba
hex5dfadb59cebc

103332003303100 has 72 divisors (see below), whose sum is σ = 263431574331408. Its totient is φ = 34684868236800.

The previous prime is 103332003303079. The next prime is 103332003303161. The reversal of 103332003303100 is 1303300233301.

It is a super-2 number, since 2×1033320033031002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3612992809 + ... + 3613021408.

It is an arithmetic number, because the mean of its divisors is an integer number (3658771865714).

Almost surely, 2103332003303100 is an apocalyptic number.

103332003303100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103332003303100 is an abundant number, since it is smaller than the sum of its proper divisors (160099571028308).

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

103332003303100 is a wasteful number, since it uses less digits than its factorization.

103332003303100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7226014255 (or 7226014248 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 22.

Adding to 103332003303100 its reverse (1303300233301), we get a palindrome (104635303536401).

The spelling of 103332003303100 in words is "one hundred three trillion, three hundred thirty-two billion, three million, three hundred three thousand, one hundred".

Divisors: 1 2 4 5 10 11 13 20 22 25 26 44 50 52 55 65 100 110 130 143 220 260 275 286 325 550 572 650 715 1100 1300 1430 2860 3575 7150 14300 7226014217 14452028434 28904056868 36130071085 72260142170 79486156387 93938184821 144520284340 158972312774 180650355425 187876369642 317944625548 361300710850 375752739284 397430781935 469690924105 722601421700 794861563870 939381848210 1033320033031 1589723127740 1878763696420 1987153909675 2066640066062 2348454620525 3974307819350 4133280132124 4696909241050 5166600165155 7948615638700 9393818482100 10333200330310 20666400660620 25833000825775 51666001651550 103332003303100