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102728437141 = 1197211456293
BaseRepresentation
bin101111110101100010…
…1111000110110010101
3100211011022200022101011
41133223011320312111
53140341434442031
6115105350532221
710264464210511
oct1375305706625
9324138608334
10102728437141
113a626585330
1217aab667071
1398c1b719a5
144d87577141
152a13a3a6b1
hex17eb178d95

102728437141 has 16 divisors (see below), whose sum is σ = 113759569728. Its totient is φ = 91988467200.

The previous prime is 102728437127. The next prime is 102728437151. The reversal of 102728437141 is 141734827201.

It is a cyclic number.

It is not a de Polignac number, because 102728437141 - 211 = 102728435093 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102728437094 and 102728437103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102728437121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3010 + ... + 453283.

It is an arithmetic number, because the mean of its divisors is an integer number (7109973108).

Almost surely, 2102728437141 is an apocalyptic number.

102728437141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102728437141 is a deficient number, since it is larger than the sum of its proper divisors (11031132587).

102728437141 is a wasteful number, since it uses less digits than its factorization.

102728437141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456612.

The product of its (nonzero) digits is 75264, while the sum is 40.

The spelling of 102728437141 in words is "one hundred two billion, seven hundred twenty-eight million, four hundred thirty-seven thousand, one hundred forty-one".

Divisors: 1 11 97 211 1067 2321 20467 225137 456293 5019223 44260421 96277823 486864631 1059056053 9338948831 102728437141