Search a number
-
+
123300442111533 = 31312554112283841
BaseRepresentation
bin11100000010010000011111…
…000011010111111000101101
3121011120101222210212221010220
4130002100133003113320231
5112130123301140032113
61114123235141321553
734654106620226541
oct3402203703277055
9534511883787126
10123300442111533
1136318473155115
12119b45507062b9
1353a524955271b
142263ab7ab1a21
15e3c4da289523
hex70241f0d7e2d

123300442111533 has 16 divisors (see below), whose sum is σ = 165662055168192. Its totient is φ = 81569611136000.

The previous prime is 123300442111463. The next prime is 123300442111571. The reversal of 123300442111533 is 335111244003321.

It is a cyclic number.

It is not a de Polignac number, because 123300442111533 - 213 = 123300442103341 is a prime.

It is a super-2 number, since 2×1233004421115332 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 123300442111494 and 123300442111503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123300442111573) 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, 3895693 + ... + 16179533.

It is an arithmetic number, because the mean of its divisors is an integer number (10353878448012).

Almost surely, 2123300442111533 is an apocalyptic number.

It is an amenable number.

123300442111533 is a deficient number, since it is larger than the sum of its proper divisors (42361613056659).

123300442111533 is a wasteful number, since it uses less digits than its factorization.

123300442111533 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12309516.

The product of its (nonzero) digits is 25920, while the sum is 33.

Adding to 123300442111533 its reverse (335111244003321), we get a palindrome (458411686114854).

The spelling of 123300442111533 in words is "one hundred twenty-three trillion, three hundred billion, four hundred forty-two million, one hundred eleven thousand, five hundred thirty-three".

Divisors: 1 3 131 393 25541 76623 3345871 10037613 12283841 36851523 1609183171 4827549513 313741582981 941224748943 41100147370511 123300442111533