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100200111201 = 32137463175519
BaseRepresentation
bin101110101010001100…
…1000101110001100001
3100120122010012001012200
41131110121011301201
53120202212024301
6114010432043413
710145023615041
oct1352431056141
9316563161180
10100200111201
1139549394663
1217504993569
1395ab105538
144bc7871721
152916ab6c86
hex1754645c61

100200111201 has 24 divisors (see below), whose sum is σ = 146105656320. Its totient is φ = 66168881856.

The previous prime is 100200111101. The next prime is 100200111227. The reversal of 100200111201 is 102111002001.

It is a happy number.

It is not a de Polignac number, because 100200111201 - 213 = 100200103009 is a prime.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100200111251) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 483120 + ... + 658638.

It is an arithmetic number, because the mean of its divisors is an integer number (6087735680).

Almost surely, 2100200111201 is an apocalyptic number.

It is an amenable number.

100200111201 is a deficient number, since it is larger than the sum of its proper divisors (45905545119).

100200111201 is a wasteful number, since it uses less digits than its factorization.

100200111201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176125 (or 176122 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100200111201 its reverse (102111002001), we get a palindrome (202311113202).

The spelling of 100200111201 in words is "one hundred billion, two hundred million, one hundred eleven thousand, two hundred one".

Divisors: 1 3 9 137 411 463 1233 1389 4167 63431 175519 190293 526557 570879 1579671 24046103 72138309 81265297 216414927 243795891 731387673 11133345689 33400037067 100200111201