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102032022213 = 3211293693317
BaseRepresentation
bin101111100000110010…
…1010001101011000101
3100202100210020202200200
41133001211101223011
53132430144202323
6114512312201113
710241306610342
oct1370145215305
9322323222620
10102032022213
113a2a9464500
1217936399199
1398107b9354
144d1cc937c9
1529c2825443
hex17c1951ac5

102032022213 has 18 divisors (see below), whose sum is σ = 161995746822. Its totient is φ = 61837588560.

The previous prime is 102032022193. The next prime is 102032022233. The reversal of 102032022213 is 312220230201.

It is an interprime number because it is at equal distance from previous prime (102032022193) and next prime (102032022233).

It can be written as a sum of positive squares in only one way, i.e., 100341332289 + 1690689924 = 316767^2 + 41118^2 .

It is not a de Polignac number, because 102032022213 - 212 = 102032018117 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102032022233) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 46845570 + ... + 46847747.

Almost surely, 2102032022213 is an apocalyptic number.

It is an amenable number.

102032022213 is a deficient number, since it is larger than the sum of its proper divisors (59963724609).

102032022213 is a wasteful number, since it uses less digits than its factorization.

102032022213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93693345 (or 93693331 counting only the distinct ones).

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

Adding to 102032022213 its reverse (312220230201), we get a palindrome (414252252414).

The spelling of 102032022213 in words is "one hundred two billion, thirty-two million, twenty-two thousand, two hundred thirteen".

Divisors: 1 3 9 11 33 99 121 363 1089 93693317 281079951 843239853 1030626487 3091879461 9275638383 11336891357 34010674071 102032022213