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102023231302332 = 223217721123118101
BaseRepresentation
bin10111001100101000100010…
…011101011110101010111100
3111101020022210101221210222200
4113030220202131132222330
5101333022034203133312
61000552454143111500
730326635531355604
oct2714504235365274
9441208711853880
10102023231302332
112a56489a36a27a
12b5389518a2590
1344c0998663452
141b29d44b9dc04
15bbdcd204b0dc
hex5cca2275eabc

102023231302332 has 72 divisors (see below), whose sum is σ = 273100057160112. Its totient is φ = 32002848192000.

The previous prime is 102023231302313. The next prime is 102023231302543. The reversal of 102023231302332 is 233203132320201.

102023231302332 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 2 + 3 + 23 + 1 + 302 + 332 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 102023231302296 and 102023231302305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7145919 + ... + 15972182.

It is an arithmetic number, because the mean of its divisors is an integer number (3793056349446).

Almost surely, 2102023231302332 is an apocalyptic number.

102023231302332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102023231302332 is an abundant number, since it is smaller than the sum of its proper divisors (171076825857780).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102023231302332 is a wasteful number, since it uses less digits than its factorization.

102023231302332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23125339 (or 23125334 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 102023231302332 its reverse (233203132320201), we get a palindrome (335226363622533).

The spelling of 102023231302332 in words is "one hundred two trillion, twenty-three billion, two hundred thirty-one million, three hundred two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 7211 14422 21633 28844 43266 64899 86532 122587 129798 245174 259596 367761 490348 735522 1103283 1471044 2206566 4413132 23118101 46236202 69354303 92472404 138708606 208062909 277417212 393007717 416125818 786015434 832251636 1179023151 1572030868 2358046302 3537069453 4716092604 7074138906 14148277812 166704626311 333409252622 500113878933 666818505244 1000227757866 1500341636799 2000455515732 2833978647287 3000683273598 5667957294574 6001366547196 8501935941861 11335914589148 17003871883722 25505807825583 34007743767444 51011615651166 102023231302332