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122130233120333 = 2921021142233353
BaseRepresentation
bin11011110001001110101001…
…001010010101011001001101
3121000102112110221012212111202
4123301032221022111121031
5112001440204134322313
61111425504325355245
734503422013016544
oct3361165112253115
9530375427185452
10122130233120333
1135a07160738959
12118457a7b68b25
13531baa6c48199
1422231c5d4d15b
15e1bd4ab94558
hex6f13a929564d

122130233120333 has 12 divisors (see below), whose sum is σ = 126610726863348. Its totient is φ = 117803351460480.

The previous prime is 122130233120317. The next prime is 122130233120359. The reversal of 122130233120333 is 333021332031221.

It can be written as a sum of positive squares in 6 ways, for example, as 4195889301769 + 117934343818564 = 2048387^2 + 10859758^2 .

It is not a de Polignac number, because 122130233120333 - 24 = 122130233120317 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 122130233120296 and 122130233120305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122130233120933) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70258016 + ... + 71975337.

It is an arithmetic number, because the mean of its divisors is an integer number (10550893905279).

Almost surely, 2122130233120333 is an apocalyptic number.

It is an amenable number.

122130233120333 is a deficient number, since it is larger than the sum of its proper divisors (4480493743015).

122130233120333 is a wasteful number, since it uses less digits than its factorization.

122130233120333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142234432 (or 142234403 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 29.

Adding to 122130233120333 its reverse (333021332031221), we get a palindrome (455151565151554).

The spelling of 122130233120333 in words is "one hundred twenty-two trillion, one hundred thirty billion, two hundred thirty-three million, one hundred twenty thousand, three hundred thirty-three".

Divisors: 1 29 841 1021 29609 858661 142233353 4124767237 119618249873 145220253413 4211387348977 122130233120333