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100202120208 = 2432695848057
BaseRepresentation
bin101110101010010000…
…0110000010000010000
3100120122020222010001100
41131110200300100100
53120203220321313
6114010543104400
710145046653151
oct1352440602020
9316566863040
10100202120208
113954a536aa3
12175055a2100
1395ab659ab8
144bc7c35928
152916d62173
hex1754830410

100202120208 has 30 divisors (see below), whose sum is σ = 280426767374. Its totient is φ = 33400706688.

The previous prime is 100202120153. The next prime is 100202120209. The reversal of 100202120208 is 802021202001.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 89971202304 + 10230917904 = 299952^2 + 101148^2 .

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

It is not an unprimeable number, because it can be changed into a prime (100202120209) 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, 347923885 + ... + 347924172.

Almost surely, 2100202120208 is an apocalyptic number.

100202120208 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

100202120208 is an abundant number, since it is smaller than the sum of its proper divisors (180224647166).

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

100202120208 is a wasteful number, since it uses less digits than its factorization.

100202120208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695848071 (or 695848062 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 100202120208 its reverse (802021202001), we get a palindrome (902223322209).

The spelling of 100202120208 in words is "one hundred billion, two hundred two million, one hundred twenty thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 695848057 1391696114 2087544171 2783392228 4175088342 5566784456 6262632513 8350176684 11133568912 12525265026 16700353368 25050530052 33400706736 50101060104 100202120208