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100210200111 = 3371508335153
BaseRepresentation
bin101110101010011111…
…1100100111000101111
3100120122211011121121000
41131110333210320233
53120212302400421
6114011432211343
710145205434550
oct1352477447057
9316584147530
10100210200111
11395540555aa
1217508239b53
1395b02286c8
144bc8d3a327
15291790b226
hex1754fe4e2f

100210200111 has 32 divisors (see below), whose sum is σ = 169684139520. Its totient is φ = 57257546112.

The previous prime is 100210200047. The next prime is 100210200161. The reversal of 100210200111 is 111002012001.

It is a happy number.

It is not a de Polignac number, because 100210200111 - 26 = 100210200047 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 = 100210200093 and 100210200102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100210200161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2833111 + ... + 2868263.

It is an arithmetic number, because the mean of its divisors is an integer number (5302629360).

Almost surely, 2100210200111 is an apocalyptic number.

100210200111 is a deficient number, since it is larger than the sum of its proper divisors (69473939409).

100210200111 is a wasteful number, since it uses less digits than its factorization.

100210200111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50252 (or 50246 counting only the distinct ones).

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

Adding to 100210200111 its reverse (111002012001), we get a palindrome (211212212112).

The spelling of 100210200111 in words is "one hundred billion, two hundred ten million, two hundred thousand, one hundred eleven".

Divisors: 1 3 7 9 21 27 63 189 15083 35153 45249 105459 105581 135747 246071 316377 316743 407241 738213 949131 950229 2214639 2850687 6643917 530212699 1590638097 3711488893 4771914291 11134466679 14315742873 33403400037 100210200111