Search a number
-
+
122331223000435 = 5311223733388003
BaseRepresentation
bin11011110100001001110101…
…000101111000010101110011
3121001010202021021010200020011
4123310021311011320111303
5112013233321042003220
61112102104340155351
734524065513555431
oct3364116505702563
9531122237120204
10122331223000435
1135a84420240689
121187873b098b57
135334a28370217
14222cc116a5d51
15e221b0e9b65a
hex6f4275178573

122331223000435 has 32 divisors (see below), whose sum is σ = 151679177330688. Its totient is φ = 94616624568960.

The previous prime is 122331223000429. The next prime is 122331223000453. The reversal of 122331223000435 is 534000322133221.

It is not a de Polignac number, because 122331223000435 - 213 = 122331222992243 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122331223000397 and 122331223000406.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1390036144 + ... + 1390124146.

It is an arithmetic number, because the mean of its divisors is an integer number (4739974291584).

Almost surely, 2122331223000435 is an apocalyptic number.

122331223000435 is a deficient number, since it is larger than the sum of its proper divisors (29347954330253).

122331223000435 is a wasteful number, since it uses less digits than its factorization.

122331223000435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96595.

The product of its (nonzero) digits is 25920, while the sum is 31.

Adding to 122331223000435 its reverse (534000322133221), we get a palindrome (656331545133656).

The spelling of 122331223000435 in words is "one hundred twenty-two trillion, three hundred thirty-one billion, two hundred twenty-three million, four hundred thirty-five", and thus it is an aban number.

Divisors: 1 5 31 155 1223 6115 7333 36665 37913 88003 189565 227323 440015 1136615 2728093 8968259 13640465 44841295 107627669 278016029 538138345 645325999 1390080145 3226629995 3336457739 16682288695 20005105969 100025529845 789233696777 3946168483885 24466244600087 122331223000435