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103001313012 = 223134491470523
BaseRepresentation
bin101111111101101011…
…0110100111011110100
3100211212100010211200220
41133323112310323310
53141421314004022
6115152415334340
710304316500133
oct1377326647364
9324770124626
10103001313012
113a756612a84
1217b66b213b0
1399365637c0
144db18c991a
152a2c98c85c
hex17fb5b4ef4

103001313012 has 48 divisors (see below), whose sum is σ = 259400433600. Its totient is φ = 31622105088.

The previous prime is 103001313007. The next prime is 103001313013. The reversal of 103001313012 is 210313100301.

It is a junction number, because it is equal to n+sod(n) for n = 103001312982 and 103001313000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103001313013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 665218 + ... + 805305.

It is an arithmetic number, because the mean of its divisors is an integer number (5404175700).

Almost surely, 2103001313012 is an apocalyptic number.

103001313012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103001313012 is an abundant number, since it is smaller than the sum of its proper divisors (156399120588).

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

103001313012 is a wasteful number, since it uses less digits than its factorization.

103001313012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1470992 (or 1470990 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 103001313012 its reverse (210313100301), we get a palindrome (313314413313).

The spelling of 103001313012 in words is "one hundred three billion, one million, three hundred thirteen thousand, twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 449 898 1347 1796 2694 5388 5837 11674 17511 23348 35022 70044 1470523 2941046 4411569 5882092 8823138 17646276 19116799 38233598 57350397 76467196 114700794 229401588 660264827 1320529654 1980794481 2641059308 3961588962 7923177924 8583442751 17166885502 25750328253 34333771004 51500656506 103001313012