Search a number
-
+
102506998101 = 3262113036627
BaseRepresentation
bin101111101110111100…
…1001010100101010101
3100210120220000001010020
41133131321022211111
53134413242414401
6115031400415353
710256135051604
oct1373571124525
9323526001106
10102506998101
113a522589962
1217a49477559
13988801c281
144d65db3a3b
1529ee398d36
hex17dde4a955

102506998101 has 8 divisors (see below), whose sum is σ = 136728154464. Its totient is φ = 68311920240.

The previous prime is 102506998093. The next prime is 102506998141. The reversal of 102506998101 is 101899605201.

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

It is not a de Polignac number, because 102506998101 - 23 = 102506998093 is a prime.

It is a super-3 number, since 3×1025069981013 (a number of 34 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102506998141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6510451 + ... + 6526176.

It is an arithmetic number, because the mean of its divisors is an integer number (17091019308).

Almost surely, 2102506998101 is an apocalyptic number.

It is an amenable number.

102506998101 is a deficient number, since it is larger than the sum of its proper divisors (34221156363).

102506998101 is a wasteful number, since it uses less digits than its factorization.

102506998101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13039251.

The product of its (nonzero) digits is 38880, while the sum is 42.

The spelling of 102506998101 in words is "one hundred two billion, five hundred six million, nine hundred ninety-eight thousand, one hundred one".

Divisors: 1 3 2621 7863 13036627 39109881 34168999367 102506998101