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102140002041 = 37113061144451
BaseRepresentation
bin101111100100000000…
…1001011111011111001
3100202122022102201011120
41133020001023323321
53133140320031131
6114531130415453
710244060456340
oct1371001137371
9322568381146
10102140002041
113a354406330
1217966591589
139829c9503c
144d2d360b57
1529cc054496
hex17c804bef9

102140002041 has 32 divisors (see below), whose sum is σ = 169847817216. Its totient is φ = 53042040000.

The previous prime is 102140001991. The next prime is 102140002091. The reversal of 102140002041 is 140200041201.

It is an interprime number because it is at equal distance from previous prime (102140001991) and next prime (102140002091).

It is not a de Polignac number, because 102140002041 - 217 = 102139870969 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 102140002041.

It is not an unprimeable number, because it can be changed into a prime (102140002091) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 634866 + ... + 779316.

It is an arithmetic number, because the mean of its divisors is an integer number (5307744288).

Almost surely, 2102140002041 is an apocalyptic number.

102140002041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102140002041 is a deficient number, since it is larger than the sum of its proper divisors (67707815175).

102140002041 is a wasteful number, since it uses less digits than its factorization.

102140002041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147533.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 102140002041 its reverse (140200041201), we get a palindrome (242340043242).

The spelling of 102140002041 in words is "one hundred two billion, one hundred forty million, two thousand, forty-one".

Divisors: 1 3 7 11 21 33 77 231 3061 9183 21427 33671 64281 101013 144451 235697 433353 707091 1011157 1588961 3033471 4766883 11122727 33368181 442164511 1326493533 3095151577 4863809621 9285454731 14591428863 34046667347 102140002041