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102001032001 = 1131299123261
BaseRepresentation
bin101111011111110111…
…1000011101101000001
3100202021121221022010001
41132333233003231001
53132344231011001
6114505244040001
710240452316021
oct1367757035501
9322247838101
10102001032001
113a292a18060
1217927b33001
13980725874b
144d18b07a81
1529bec53001
hex17bfbc3b41

102001032001 has 8 divisors (see below), whose sum is σ = 114863332608. Its totient is φ = 89736978000.

The previous prime is 102001031987. The next prime is 102001032061. The reversal of 102001032001 is 100230100201.

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 102001032001 - 211 = 102001029953 is a prime.

It is a super-3 number, since 3×1020010320013 (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102001032061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 149561290 + ... + 149561971.

It is an arithmetic number, because the mean of its divisors is an integer number (14357916576).

Almost surely, 2102001032001 is an apocalyptic number.

102001032001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102001032001 is a deficient number, since it is larger than the sum of its proper divisors (12862300607).

102001032001 is a wasteful number, since it uses less digits than its factorization.

102001032001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299123303.

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 102001032001 its reverse (100230100201), we get a palindrome (202231132202).

The spelling of 102001032001 in words is "one hundred two billion, one million, thirty-two thousand, one".

Divisors: 1 11 31 341 299123261 3290355871 9272821091 102001032001