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102012877441 = 2917977195677
BaseRepresentation
bin101111100000001110…
…0001111101010000001
3100202022110020010000001
41133000130033222001
53132410244034231
6114510350000001
710240655102566
oct1370034175201
9322273203001
10102012877441
113a299678782
121792baa6001
139809845297
144d1a50c86d
1529c0ce2b61
hex17c070fa81

102012877441 has 8 divisors (see below), whose sum is σ = 105536972520. Its totient is φ = 98489209728.

The previous prime is 102012877423. The next prime is 102012877471. The reversal of 102012877441 is 144778210201.

It can be written as a sum of positive squares in 4 ways, for example, as 341177841 + 101671699600 = 18471^2 + 318860^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102012877441 - 29 = 102012876929 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 102012877441.

It is not an unprimeable number, because it can be changed into a prime (102012877471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 423495 + ... + 619171.

It is an arithmetic number, because the mean of its divisors is an integer number (13192121565).

Almost surely, 2102012877441 is an apocalyptic number.

It is an amenable number.

102012877441 is a deficient number, since it is larger than the sum of its proper divisors (3524095079).

102012877441 is a wasteful number, since it uses less digits than its factorization.

102012877441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213683.

The product of its (nonzero) digits is 25088, while the sum is 37.

The spelling of 102012877441 in words is "one hundred two billion, twelve million, eight hundred seventy-seven thousand, four hundred forty-one".

Divisors: 1 29 17977 195677 521333 5674633 3517685429 102012877441