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103212032310 = 232510130193761
BaseRepresentation
bin110000000011111101…
…0101010000100110110
3100212102000122111020100
41200013322222010312
53142334240013220
6115225344014530
710312455541122
oct1400772520466
9325360574210
10103212032310
113a854557562
1218005601446
13996b101b8a
144dd189c582
152a41212d90
hex1807eaa136

103212032310 has 96 divisors (see below), whose sum is σ = 271170076320. Its totient is φ = 27234432000.

The previous prime is 103212032299. The next prime is 103212032333. The reversal of 103212032310 is 13230212301.

103212032310 is a `hidden beast` number, since 1 + 0 + 321 + 2 + 0 + 32 + 310 = 666.

It is a super-2 number, since 2×1032120323102 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27440830 + ... + 27444590.

It is an arithmetic number, because the mean of its divisors is an integer number (2824688295).

Almost surely, 2103212032310 is an apocalyptic number.

103212032310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 103212032310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135585038160).

103212032310 is an abundant number, since it is smaller than the sum of its proper divisors (167958044010).

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

103212032310 is a wasteful number, since it uses less digits than its factorization.

103212032310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6894 (or 6891 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 103212032310 its reverse (13230212301), we get a palindrome (116442244611).

The spelling of 103212032310 in words is "one hundred three billion, two hundred twelve million, thirty-two thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 101 202 303 505 606 909 1010 1515 1818 3019 3030 3761 4545 6038 7522 9057 9090 11283 15095 18114 18805 22566 27171 30190 33849 37610 45285 54342 56415 67698 90570 112830 135855 169245 271710 304919 338490 379861 609838 759722 914757 1139583 1524595 1829514 1899305 2279166 2744271 3049190 3418749 3798610 4573785 5488542 5697915 6837498 9147570 11354459 11395830 13721355 17093745 22708918 27442710 34063377 34187490 56772295 68126754 102190131 113544590 170316885 204380262 340633770 510950655 1021901310 1146800359 2293600718 3440401077 5734001795 6880802154 10321203231 11468003590 17202005385 20642406462 34404010770 51606016155 103212032310