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988011106001 = 17108869533837
BaseRepresentation
bin11100110000010100000…
…11010000111011010001
310111110020012012111200222
432120022003100323101
5112141421320343001
62033515214522425
7131244556556213
oct16301203207321
93443205174628
10988011106001
1135101656a437
1213b596b06415
137222752211a
1435b6a0ba5b3
151aa78e8b61b
hexe60a0d0ed1

988011106001 has 8 divisors (see below), whose sum is σ = 1046140975080. Its totient is φ = 929882522368.

The previous prime is 988011105989. The next prime is 988011106021. The reversal of 988011106001 is 100601110889.

It can be written as a sum of positive squares in 4 ways, for example, as 400758633025 + 587252472976 = 633055^2 + 766324^2 .

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

It is not a de Polignac number, because 988011106001 - 214 = 988011089617 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (988011106021) 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, 1583855 + ... + 2117691.

It is an arithmetic number, because the mean of its divisors is an integer number (130767621885).

Almost surely, 2988011106001 is an apocalyptic number.

It is an amenable number.

988011106001 is a deficient number, since it is larger than the sum of its proper divisors (58129869079).

988011106001 is a wasteful number, since it uses less digits than its factorization.

988011106001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642723.

The product of its (nonzero) digits is 3456, while the sum is 35.

The spelling of 988011106001 in words is "nine hundred eighty-eight billion, eleven million, one hundred six thousand, one".

Divisors: 1 17 108869 533837 1850773 9075229 58118300353 988011106001