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103131300112 = 2429674098111
BaseRepresentation
bin110000000001100011…
…0101100000100010000
3100212012101201212110221
41200003012230010100
53142203103100422
6115213341402424
710310455405231
oct1400306540420
9325171655427
10103131300112
113a812a26235
1217ba2569414
139957476449
144dc4c85088
152a390b73c7
hex18031ac110

103131300112 has 80 divisors (see below), whose sum is σ = 210331180800. Its totient is φ = 48918481920.

The previous prime is 103131300089. The next prime is 103131300127. The reversal of 103131300112 is 211003131301.

It is a super-2 number, since 2×1031313001122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12710937 + ... + 12719047.

It is an arithmetic number, because the mean of its divisors is an integer number (2629139760).

Almost surely, 2103131300112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103131300112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105165590400).

103131300112 is an abundant number, since it is smaller than the sum of its proper divisors (107199880688).

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

103131300112 is a wasteful number, since it uses less digits than its factorization.

103131300112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8624 (or 8618 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 103131300112 its reverse (211003131301), we get a palindrome (314134431413).

The spelling of 103131300112 in words is "one hundred three billion, one hundred thirty-one million, three hundred thousand, one hundred twelve".

Divisors: 1 2 4 8 16 29 58 67 116 134 232 268 409 464 536 818 1072 1636 1943 3272 3886 6544 7772 8111 11861 15544 16222 23722 27403 31088 32444 47444 54806 64888 94888 109612 129776 189776 219224 235219 438448 470438 543437 794687 940876 1086874 1589374 1881752 2173748 3178748 3317399 3763504 4347496 6357496 6634798 8694992 12714992 13269596 15759673 26539192 31519346 53078384 63038692 96204571 126077384 192409142 222265733 252154768 384818284 444531466 769636568 889062932 1539273136 1778125864 3556251728 6445706257 12891412514 25782825028 51565650056 103131300112