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100202000212 = 221012357105229
BaseRepresentation
bin101110101010010000…
…0010010111101010100
3100120122020202000110001
41131110200102331110
53120203203001322
6114010540341044
710145045643256
oct1352440227524
9316566660401
10100202000212
113954a464926
1217505544784
1395ab6172b2
144bc7c03cd6
152916d3b827
hex1754812f54

100202000212 has 24 divisors (see below), whose sum is σ = 177166490760. Its totient is φ = 49583433600.

The previous prime is 100202000113. The next prime is 100202000263. The reversal of 100202000212 is 212000202001.

It can be written as a sum of positive squares in 4 ways, for example, as 52901840016 + 47300160196 = 230004^2 + 217486^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 899614 + ... + 1004842.

It is an arithmetic number, because the mean of its divisors is an integer number (7381937115).

Almost surely, 2100202000212 is an apocalyptic number.

It is an amenable number.

100202000212 is a deficient number, since it is larger than the sum of its proper divisors (76964490548).

100202000212 is a wasteful number, since it uses less digits than its factorization.

100202000212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107691 (or 107689 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 100202000212 its reverse (212000202001), we get a palindrome (312202202213).

The spelling of 100202000212 in words is "one hundred billion, two hundred two million, two hundred twelve", and thus it is an aban number.

Divisors: 1 2 4 101 202 404 2357 4714 9428 105229 210458 238057 420916 476114 952228 10628129 21256258 42512516 248024753 496049506 992099012 25050500053 50101000106 100202000212