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102025310231331 = 3437271031256041
BaseRepresentation
bin10111001100101010011110…
…010111111101101100100011
3111101020112011021211100110000
4113030222132113331230203
5101333040313404400311
61000553440325511043
730330041204103234
oct2714523627755443
9441215137740400
10102025310231331
112a565766916413
12b539231b72483
1344c0c3a284556
141b2a0a0d2308b
15bbdda4800056
hex5cca9e5fdb23

102025310231331 has 40 divisors (see below), whose sum is σ = 156533219368064. Its totient is φ = 66176085179520.

The previous prime is 102025310231323. The next prime is 102025310231333. The reversal of 102025310231331 is 133132013520201.

102025310231331 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 2 + 5 + 310 + 2 + 313 + 31 = 666.

It is not a de Polignac number, because 102025310231331 - 23 = 102025310231323 is a prime.

It is a super-2 number, since 2×1020253102313312 (a number of 29 digits) contains 22 as substring.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102025310231295 and 102025310231304.

It is not an unprimeable number, because it can be changed into a prime (102025310231333) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 80599671 + ... + 81855711.

Almost surely, 2102025310231331 is an apocalyptic number.

102025310231331 is a deficient number, since it is larger than the sum of its proper divisors (54507909136733).

102025310231331 is a wasteful number, since it uses less digits than its factorization.

102025310231331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1283193 (or 1283184 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 102025310231331 its reverse (133132013520201), we get a palindrome (235157323751532).

The spelling of 102025310231331 in words is "one hundred two trillion, twenty-five billion, three hundred ten million, two hundred thirty-one thousand, three hundred thirty-one".

Divisors: 1 3 9 27 37 81 111 333 999 2997 27103 81309 243927 731781 1002811 1256041 2195343 3008433 3768123 9025299 11304369 27075897 33913107 46473517 81227691 101739321 139420551 418261653 1254784959 3764354877 34042479223 102127437669 306382313007 919146939021 1259571731251 2757440817063 3778715193753 11336145581259 34008436743777 102025310231331