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103213332100 = 22521032133321
BaseRepresentation
bin110000000011111111…
…1100111011010000100
3100212102010002112012201
41200013333213122010
53142340103111400
6115225431524244
710312502563444
oct1400777473204
9325363075181
10103213332100
113a85526506a
1218005b29684
13996b468698
144dd1b1a124
152a413bd06a
hex1807fe7684

103213332100 has 18 divisors (see below), whose sum is σ = 223972930874. Its totient is φ = 41285332800.

The previous prime is 103213332097. The next prime is 103213332119. The reversal of 103213332100 is 1233312301.

It can be written as a sum of positive squares in 3 ways, for example, as 23883229764 + 79330102336 = 154542^2 + 281656^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 516066561 + ... + 516066760.

Almost surely, 2103213332100 is an apocalyptic number.

103213332100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103213332100 is an abundant number, since it is smaller than the sum of its proper divisors (120759598774).

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

103213332100 is a wasteful number, since it uses less digits than its factorization.

103213332100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1032133335 (or 1032133328 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 103213332100 its reverse (1233312301), we get a palindrome (104446644401).

The spelling of 103213332100 in words is "one hundred three billion, two hundred thirteen million, three hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1032133321 2064266642 4128533284 5160666605 10321333210 20642666420 25803333025 51606666050 103213332100