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103131300030 = 235113110081261
BaseRepresentation
bin110000000001100011…
…0101100000010111110
3100212012101201212100220
41200003012230002332
53142203103100110
6115213341402210
710310455405053
oct1400306540276
9325171655326
10103131300030
113a812a26170
1217ba2569366
1399574763b5
144dc4c8502a
152a390b7370
hex18031ac0be

103131300030 has 64 divisors (see below), whose sum is σ = 278726731776. Its totient is φ = 24195024000.

The previous prime is 103131300023. The next prime is 103131300043. The reversal of 103131300030 is 30003131301.

103131300030 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a junction number, because it is equal to n+sod(n) for n = 103131299982 and 103131300009.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5030401 + ... + 5050860.

It is an arithmetic number, because the mean of its divisors is an integer number (4355105184).

Almost surely, 2103131300030 is an apocalyptic number.

103131300030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

103131300030 is an abundant number, since it is smaller than the sum of its proper divisors (175595431746).

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

103131300030 is a wasteful number, since it uses less digits than its factorization.

103131300030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10081313.

The product of its (nonzero) digits is 81, while the sum is 15.

Adding to 103131300030 its reverse (30003131301), we get a palindrome (133134431331).

The spelling of 103131300030 in words is "one hundred three billion, one hundred thirty-one million, three hundred thousand, thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 31 33 55 62 66 93 110 155 165 186 310 330 341 465 682 930 1023 1705 2046 3410 5115 10230 10081261 20162522 30243783 50406305 60487566 100812610 110893871 151218915 221787742 302437830 312519091 332681613 554469355 625038182 665363226 937557273 1108938710 1562595455 1663408065 1875114546 3125190910 3326816130 3437710001 4687786365 6875420002 9375572730 10313130003 17188550005 20626260006 34377100010 51565650015 103131300030