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220100111001001 = 71125072711400619
BaseRepresentation
bin110010000010111000001100…
…111011100110010110101001
31001212022100212011121100020001
4302002320030323212112221
5212322110011404013001
62100040332313503001
764234464634656130
oct6202701473462651
91055270764540201
10220100111001001
1164148a29731150
1220828a61a11a61
1395a74750781ca
143c4cc8b958917
151a6a497c89001
hexc82e0cee65a9

220100111001001 has 16 divisors (see below), whose sum is σ = 274411646530560. Its totient is φ = 171505880920080.

The previous prime is 220100111000893. The next prime is 220100111001013. The reversal of 220100111001001 is 100100111001022.

It is not a de Polignac number, because 220100111001001 - 211 = 220100110998953 is a prime.

It is a super-2 number, since 2×2201001110010012 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (220100111061001) 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 15 ways as a sum of consecutive naturals, for example, 13605670 + ... + 25006288.

It is an arithmetic number, because the mean of its divisors is an integer number (17150727908160).

Almost surely, 2220100111001001 is an apocalyptic number.

It is an amenable number.

220100111001001 is a deficient number, since it is larger than the sum of its proper divisors (54311535529559).

220100111001001 is a wasteful number, since it uses less digits than its factorization.

220100111001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11651364.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 220100111001001 its reverse (100100111001022), we get a palindrome (320200222002023).

The spelling of 220100111001001 in words is "two hundred twenty trillion, one hundred billion, one hundred eleven million, one thousand, one".

Divisors: 1 7 11 77 250727 1755089 2757997 11400619 19305979 79804333 125406809 877847663 2858443000013 20009101000091 31442873000143 220100111001001