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102200210021 = 7137324776211
BaseRepresentation
bin101111100101110011…
…0110111001001100101
3100202210111201120222202
41133023212313021211
53133301223210041
6114541121104245
710245421310660
oct1371346671145
9322714646882
10102200210021
113a385399498
1217982788085
1398395b5870
144d373546d7
1529d2498a9b
hex17cb9b7265

102200210021 has 32 divisors (see below), whose sum is σ = 127579968768. Its totient is φ = 79708976640.

The previous prime is 102200209987. The next prime is 102200210027. The reversal of 102200210021 is 120012002201.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 102200210021 - 222 = 102196015717 is a prime.

102200210021 is a modest number, since divided by 210021 gives 1022 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 102200209984 and 102200210011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102200210027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16451606 + ... + 16457816.

It is an arithmetic number, because the mean of its divisors is an integer number (3986874024).

Almost surely, 2102200210021 is an apocalyptic number.

It is an amenable number.

102200210021 is a deficient number, since it is larger than the sum of its proper divisors (25379758747).

102200210021 is a wasteful number, since it uses less digits than its factorization.

102200210021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8781.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 102200210021 its reverse (120012002201), we get a palindrome (222212212222).

The spelling of 102200210021 in words is "one hundred two billion, two hundred million, two hundred ten thousand, twenty-one".

Divisors: 1 7 13 73 91 511 949 2477 6211 6643 17339 32201 43477 80743 180821 225407 453403 565201 1265747 2350673 3173821 5894239 15384647 16454711 41259673 107692529 200000411 1123079231 1400002877 7861554617 14600030003 102200210021