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102200020221 = 3137356363761
BaseRepresentation
bin101111100101110011…
…0001000110011111101
3100202210111100221122010
41133023212020303331
53133301201121341
6114541113041433
710245416560425
oct1371346106375
9322714327563
10102200020221
113a385279932
12179826b6279
13983954a360
144d37305485
1529d245c716
hex17cb988cfd

102200020221 has 32 divisors (see below), whose sum is σ = 149025566592. Its totient is φ = 61919631360.

The previous prime is 102200020199. The next prime is 102200020231. The reversal of 102200020221 is 122020002201.

It is not a de Polignac number, because 102200020221 - 26 = 102200020157 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102200020197 and 102200020206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102200020231) 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, 1570981 + ... + 1634741.

It is an arithmetic number, because the mean of its divisors is an integer number (4657048956).

Almost surely, 2102200020221 is an apocalyptic number.

It is an amenable number.

102200020221 is a deficient number, since it is larger than the sum of its proper divisors (46825546371).

102200020221 is a wasteful number, since it uses less digits than its factorization.

102200020221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64413.

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 102200020221 its reverse (122020002201), we get a palindrome (224220022422).

The spelling of 102200020221 in words is "one hundred two billion, two hundred million, twenty thousand, two hundred twenty-one".

Divisors: 1 3 13 39 73 219 563 949 1689 2847 7319 21957 41099 63761 123297 191283 534287 828893 1602861 2486679 4654553 13963659 35897443 60509189 107692329 181527567 466666759 1400000277 2620513339 7861540017 34066673407 102200020221