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100202200011 = 338741424573
BaseRepresentation
bin101110101010010000…
…1000011101111001011
3100120122021010011112000
41131110201003233023
53120203230400021
6114010544522043
710145050434624
oct1352441035713
9316567104460
10100202200011
113954a590a51
1217505620323
1395ab687214
144bc7c56a4b
152916d7ab26
hex1754843bcb

100202200011 has 16 divisors (see below), whose sum is σ = 148465036320. Its totient is φ = 66793667040.

The previous prime is 100202200001. The next prime is 100202200061. The reversal of 100202200011 is 110002202001.

It is not a de Polignac number, because 100202200011 - 215 = 100202167243 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100202199966 and 100202200002.

It is not an unprimeable number, because it can be changed into a prime (100202200001) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 23721 + ... + 448293.

It is an arithmetic number, because the mean of its divisors is an integer number (9279064770).

Almost surely, 2100202200011 is an apocalyptic number.

100202200011 is a deficient number, since it is larger than the sum of its proper divisors (48262836309).

100202200011 is an equidigital number, since it uses as much as digits as its factorization.

100202200011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433323 (or 433317 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 100202200011 its reverse (110002202001), we get a palindrome (210204402012).

The spelling of 100202200011 in words is "one hundred billion, two hundred two million, two hundred thousand, eleven".

Divisors: 1 3 9 27 8741 26223 78669 236007 424573 1273719 3821157 11463471 3711192593 11133577779 33400733337 100202200011