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103001331312 = 24321125911463
BaseRepresentation
bin101111111101101011…
…0111001011001110000
3100211212100011202210200
41133323112321121300
53141421320100222
6115152415555200
710304316604365
oct1377326713160
9324770152720
10103001331312
113a756625800
1217b66b2bb00
13993656bc29
144db18d246c
152a2c992eac
hex17fb5b9670

103001331312 has 90 divisors (see below), whose sum is σ = 316848558936. Its totient is φ = 31212519360.

The previous prime is 103001331311. The next prime is 103001331337. The reversal of 103001331312 is 213133100301.

It is a happy number.

103001331312 is a `hidden beast` number, since 1 + 0 + 300 + 1 + 331 + 31 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103001331311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2938308 + ... + 2973155.

Almost surely, 2103001331312 is an apocalyptic number.

103001331312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103001331312 is an abundant number, since it is smaller than the sum of its proper divisors (213847227624).

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

103001331312 is a wasteful number, since it uses less digits than its factorization.

103001331312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5911499 (or 5911479 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 103001331312 its reverse (213133100301), we get a palindrome (316134431613).

The spelling of 103001331312 in words is "one hundred three billion, one million, three hundred thirty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 121 132 144 176 198 242 264 363 396 484 528 726 792 968 1089 1452 1584 1936 2178 2904 4356 5808 8712 17424 5911463 11822926 17734389 23645852 35468778 47291704 53203167 65026093 70937556 94583408 106406334 130052186 141875112 195078279 212812668 260104372 283750224 390156558 425625336 520208744 585234837 715287023 780313116 851250672 1040417488 1170469674 1430574046 1560626232 2145861069 2340939348 2861148092 3121252464 4291722138 4681878696 5722296184 6437583207 8583444276 9363757392 11444592368 12875166414 17166888552 25750332828 34333777104 51500665656 103001331312