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102412542211245 = 3357953113717797
BaseRepresentation
bin10111010010010011000111…
…001100101111010010101101
3111102121112200011010002121000
4113102103013030233102231
5101410411341301224440
61001451401123030513
730400030160450010
oct2722230714572255
9442545604102530
10102412542211245
112a6a4a082092a2
12b5a02a120b439
13451b5cc5c4406
141b40b174a5377
15bc8eba31b730
hex5d24c732f4ad

102412542211245 has 64 divisors (see below), whose sum is σ = 208294616240640. Its totient is φ = 46768035654144.

The previous prime is 102412542211237. The next prime is 102412542211277. The reversal of 102412542211245 is 542112245214201.

102412542211245 is a `hidden beast` number, since 1 + 0 + 2 + 41 + 2 + 542 + 21 + 12 + 45 = 666.

It is not a de Polignac number, because 102412542211245 - 23 = 102412542211237 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 55958314 + ... + 57759483.

It is an arithmetic number, because the mean of its divisors is an integer number (3254603378760).

Almost surely, 2102412542211245 is an apocalyptic number.

102412542211245 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

102412542211245 is an abundant number, since it is smaller than the sum of its proper divisors (105882074029395).

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

102412542211245 is a wasteful number, since it uses less digits than its factorization.

102412542211245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113718771 (or 113718765 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

Adding to 102412542211245 its reverse (542112245214201), we get a palindrome (644524787425446).

The spelling of 102412542211245 in words is "one hundred two trillion, four hundred twelve billion, five hundred forty-two million, two hundred eleven thousand, two hundred forty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 945 953 2859 4765 6671 8577 14295 20013 25731 33355 42885 60039 100065 128655 180117 300195 900585 113717797 341153391 568588985 796024579 1023460173 1705766955 2388073737 3070380519 3980122895 5117300865 7164221211 11940368685 15351902595 21492663633 35821106055 107463318165 108373060541 325119181623 541865302705 758611423787 975357544869 1625595908115 2275834271361 2926072634607 3793057118935 4876787724345 6827502814083 11379171356805 14630363173035 20482508442249 34137514070415 102412542211245