Search a number
-
+
122001100001231 = 1114488376551487
BaseRepresentation
bin11011101111010110011000…
…001110100100111111001111
3120222222012011102110201220212
4123233112120032210333033
5111442331223100014411
61111250310454433035
734461200663432003
oct3357263016447717
9528865142421825
10122001100001231
1135967415430220
121182476966277b
13530c867842439
14221ac55a5c703
15e187ddeb968b
hex6ef5983a4fcf

122001100001231 has 8 divisors (see below), whose sum is σ = 133093029448704. Its totient is φ = 110909323946520.

The previous prime is 122001100001197. The next prime is 122001100001329. The reversal of 122001100001231 is 132100001100221.

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

It is not a de Polignac number, because 122001100001231 - 26 = 122001100001167 is a prime.

It is a super-2 number, since 2×1220011000012312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122001100006231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36682031 + ... + 39869456.

It is an arithmetic number, because the mean of its divisors is an integer number (16636628681088).

Almost surely, 2122001100001231 is an apocalyptic number.

122001100001231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

122001100001231 is a deficient number, since it is larger than the sum of its proper divisors (11091929447473).

122001100001231 is a wasteful number, since it uses less digits than its factorization.

122001100001231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76696381.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 122001100001231 its reverse (132100001100221), we get a palindrome (254101101101452).

The spelling of 122001100001231 in words is "one hundred twenty-two trillion, one billion, one hundred million, one thousand, two hundred thirty-one".

Divisors: 1 11 144883 1593713 76551487 842066357 11091009091021 122001100001231