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123001002131233 = 59103109883721013
BaseRepresentation
bin11011111101111001100111…
…000010011111111100100001
3121010111210002022201212000011
4123331321213002133330201
5112110222023021144413
61113333514051324521
734623346332336532
oct3375714702377441
9533453068655004
10123001002131233
1136212483089a16
12119665028b0741
135382c38761b25
1422533cd0aa689
15e34811d4c33d
hex6fde6709ff21

123001002131233 has 32 divisors (see below), whose sum is σ = 127479396844800. Its totient is φ = 118624670781696.

The previous prime is 123001002131141. The next prime is 123001002131237. The reversal of 123001002131233 is 332131200100321.

It is a de Polignac number, because none of the positive numbers 2k-123001002131233 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (123001002131237) 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 31 ways as a sum of consecutive naturals, for example, 5853556435 + ... + 5853577447.

It is an arithmetic number, because the mean of its divisors is an integer number (3983731151400).

Almost surely, 2123001002131233 is an apocalyptic number.

It is an amenable number.

123001002131233 is a deficient number, since it is larger than the sum of its proper divisors (4478394713567).

123001002131233 is a wasteful number, since it uses less digits than its factorization.

123001002131233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30121.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 123001002131233 its reverse (332131200100321), we get a palindrome (455132202231554).

The spelling of 123001002131233 in words is "one hundred twenty-three trillion, one billion, two million, one hundred thirty-one thousand, two hundred thirty-three".

Divisors: 1 59 103 109 6077 6431 8837 11227 21013 521383 662393 910211 963233 1239767 2164339 2290417 53702449 56830747 99212999 127696001 135134603 185691881 235912951 5853566941 10955820979 13918864109 19126263743 20240415029 1128449560837 1194184486711 2084762747987 123001002131233