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102542355421452 = 223220867313650059
BaseRepresentation
bin10111010100001100000000…
…101010110101100100001100
3111110001221202001120102210100
4113110030000222311210030
5101420023220441441302
61002031150250411100
730412304105516502
oct2724140052654414
9443057661512710
10102542355421452
112a744a723a84a1
12b60148b430a90
13452a91988872b
141b4710dc2a672
15bcc566a84d1c
hex5d4300ab590c

102542355421452 has 36 divisors (see below), whose sum is σ = 259205548460040. Its totient is φ = 34180618835712.

The previous prime is 102542355421433. The next prime is 102542355421459. The reversal of 102542355421452 is 254124553245201.

102542355421452 is a `hidden beast` number, since 1 + 0 + 2 + 5 + 4 + 23 + 554 + 21 + 4 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 102542355421398 and 102542355421407.

It is not an unprimeable number, because it can be changed into a prime (102542355421459) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 687199 + ... + 14337257.

It is an arithmetic number, because the mean of its divisors is an integer number (7200154123890).

Almost surely, 2102542355421452 is an apocalyptic number.

102542355421452 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102542355421452 is an abundant number, since it is smaller than the sum of its proper divisors (156663193038588).

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

102542355421452 is a wasteful number, since it uses less digits than its factorization.

102542355421452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13858742 (or 13858737 counting only the distinct ones).

The product of its (nonzero) digits is 1920000, while the sum is 45.

The spelling of 102542355421452 in words is "one hundred two trillion, five hundred forty-two billion, three hundred fifty-five million, four hundred twenty-one thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 208673 417346 626019 834692 1252038 1878057 2504076 3756114 7512228 13650059 27300118 40950177 54600236 81900354 122850531 163800708 245701062 491402124 2848398761707 5696797523414 8545196285121 11393595046828 17090392570242 25635588855363 34180785140484 51271177710726 102542355421452