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100322131300 = 22521003221313
BaseRepresentation
bin101110101101110101…
…0100011110101100100
3100120221121210022022121
41131123222203311210
53120424431200200
6114030511235324
710151035021546
oct1353352436544
9316847708277
10100322131300
1139601256116
1217539818b44
1395ca488a91
144bd9b55696
15292266ae1a
hex175baa3d64

100322131300 has 18 divisors (see below), whose sum is σ = 217699025138. Its totient is φ = 40128852480.

The previous prime is 100322131289. The next prime is 100322131309. The reversal of 100322131300 is 3131223001.

It can be written as a sum of positive squares in 3 ways, for example, as 6542868544 + 93779262756 = 80888^2 + 306234^2 .

It is a super-3 number, since 3×1003221313003 (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (100322131309) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 501610557 + ... + 501610756.

Almost surely, 2100322131300 is an apocalyptic number.

100322131300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100322131300 is an abundant number, since it is smaller than the sum of its proper divisors (117376893838).

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

100322131300 is a wasteful number, since it uses less digits than its factorization.

100322131300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1003221327 (or 1003221320 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 100322131300 its reverse (3131223001), we get a palindrome (103453354301).

The spelling of 100322131300 in words is "one hundred billion, three hundred twenty-two million, one hundred thirty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1003221313 2006442626 4012885252 5016106565 10032213130 20064426260 25080532825 50161065650 100322131300