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102232300221 = 3223379761169
BaseRepresentation
bin101111100110110000…
…1010001101010111101
3100202212202002221110200
41133031201101222331
53133332432101341
6114544224554113
710246261133262
oct1371541215275
9322782087420
10102232300221
113a3a1517317
1217991482939
13984314004c
144d3b709269
1529d51d6db6
hex17cd851abd

102232300221 has 24 divisors (see below), whose sum is σ = 148491153720. Its totient is φ = 67776101376.

The previous prime is 102232300169. The next prime is 102232300229. The reversal of 102232300221 is 122003232201.

It can be written as a sum of positive squares in 4 ways, for example, as 2117012121 + 100115288100 = 46011^2 + 316410^2 .

It is not a de Polignac number, because 102232300221 - 214 = 102232283837 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102232300194 and 102232300203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102232300229) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1640725 + ... + 1701893.

It is an arithmetic number, because the mean of its divisors is an integer number (6187131405).

Almost surely, 2102232300221 is an apocalyptic number.

It is an amenable number.

102232300221 is a deficient number, since it is larger than the sum of its proper divisors (46258853499).

102232300221 is a wasteful number, since it uses less digits than its factorization.

102232300221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62205 (or 62202 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 102232300221 its reverse (122003232201), we get a palindrome (224235532422).

The spelling of 102232300221 in words is "one hundred two billion, two hundred thirty-two million, three hundred thousand, two hundred twenty-one".

Divisors: 1 3 9 233 699 797 2097 2391 7173 61169 183507 185701 550521 557103 1671309 14252377 42757131 48751693 128271393 146255079 438765237 11359144469 34077433407 102232300221