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102133132230321 = 341260902867041
BaseRepresentation
bin10111001110001110111001…
…000100001111111010110001
3111101121211110120221102010000
4113032032321010033322301
5101341322123322332241
61001115151353300213
730340606141010433
oct2716167104177261
9441554416842100
10102133132230321
112a5a74665a2095
12b556103404669
1344cb16148305a
141b313acb54653
15bc1ab55c3eb6
hex5ce3b910feb1

102133132230321 has 10 divisors (see below), whose sum is σ = 152569246912082. Its totient is φ = 68088754820160.

The previous prime is 102133132230301. The next prime is 102133132230329. The reversal of 102133132230321 is 123032231331201.

102133132230321 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 3 + 31 + 322 + 303 + 2 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 69585376986225 + 32547755244096 = 8341785^2 + 5705064^2 .

It is not a de Polignac number, because 102133132230321 - 217 = 102133132099249 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102133132230329) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 630451433440 + ... + 630451433601.

Almost surely, 2102133132230321 is an apocalyptic number.

It is an amenable number.

102133132230321 is a deficient number, since it is larger than the sum of its proper divisors (50436114681761).

102133132230321 is an equidigital number, since it uses as much as digits as its factorization.

102133132230321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1260902867053 (or 1260902867044 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 102133132230321 its reverse (123032231331201), we get a palindrome (225165363561522).

The spelling of 102133132230321 in words is "one hundred two trillion, one hundred thirty-three billion, one hundred thirty-two million, two hundred thirty thousand, three hundred twenty-one".

Divisors: 1 3 9 27 81 1260902867041 3782708601123 11348125803369 34044377410107 102133132230321