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102022332131232 = 25321033439264163
BaseRepresentation
bin10111001100100111101100…
…110111011010011110100000
3111101020020110202000012010100
4113030213230313122132200
5101333013214011144412
61000552225022502400
730326604332501532
oct2714475467323640
9441206422005110
10102022332131232
112a564478853767
12b538740734a00
1344c088429a146
141b29c9b5bb852
15bbdc7d134edc
hex5cc9ecdda7a0

102022332131232 has 72 divisors (see below), whose sum is σ = 292942764432864. Its totient is φ = 33677274674304.

The previous prime is 102022332131207. The next prime is 102022332131299. The reversal of 102022332131232 is 232131233220201.

102022332131232 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 2 + 23 + 321 + 312 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 102022332131196 and 102022332131205.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1719602418 + ... + 1719661745.

It is an arithmetic number, because the mean of its divisors is an integer number (4068649506012).

Almost surely, 2102022332131232 is an apocalyptic number.

102022332131232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102022332131232 is an abundant number, since it is smaller than the sum of its proper divisors (190920432301632).

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

102022332131232 is a wasteful number, since it uses less digits than its factorization.

102022332131232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3439264282 (or 3439264271 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 102022332131232 its reverse (232131233220201), we get a palindrome (334153565351433).

The spelling of 102022332131232 in words is "one hundred two trillion, twenty-two billion, three hundred thirty-two million, one hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 103 144 206 288 309 412 618 824 927 1236 1648 1854 2472 3296 3708 4944 7416 9888 14832 29664 3439264163 6878528326 10317792489 13757056652 20635584978 27514113304 30953377467 41271169956 55028226608 61906754934 82542339912 110056453216 123813509868 165084679824 247627019736 330169359648 354244208789 495254039472 708488417578 990508078944 1062732626367 1416976835156 2125465252734 2833953670312 3188197879101 4250930505468 5667907340624 6376395758202 8501861010936 11335814681248 12752791516404 17003722021872 25505583032808 34007444043744 51011166065616 102022332131232