Search a number
-
+
122133133233 = 3312703356093
BaseRepresentation
bin111000110111110110…
…0111011011110110001
3102200020200001000012000
41301233230323132301
54000112040230413
6132035052524213
711552400334506
oct1615754733661
9380220030160
10122133133233
1147883a73751
121b806180669
13b695106397
145ca87794ad
15329c3b5073
hex1c6fb3b7b1

122133133233 has 16 divisors (see below), whose sum is σ = 180952727040. Its totient is φ = 81415450512.

The previous prime is 122133133219. The next prime is 122133133259. The reversal of 122133133233 is 332331331221.

122133133233 is a `hidden beast` number, since 1 + 2 + 2 + 1 + 331 + 3 + 323 + 3 = 666.

It is not a de Polignac number, because 122133133233 - 29 = 122133132721 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 122133133197 and 122133133206.

It is not an unprimeable number, because it can be changed into a prime (122133131233) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 164935 + ... + 521027.

It is an arithmetic number, because the mean of its divisors is an integer number (11309545440).

Almost surely, 2122133133233 is an apocalyptic number.

It is an amenable number.

122133133233 is a deficient number, since it is larger than the sum of its proper divisors (58819593807).

122133133233 is a wasteful number, since it uses less digits than its factorization.

122133133233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368805 (or 368799 counting only the distinct ones).

The product of its digits is 5832, while the sum is 27.

Adding to 122133133233 its reverse (332331331221), we get a palindrome (454464464454).

The spelling of 122133133233 in words is "one hundred twenty-two billion, one hundred thirty-three million, one hundred thirty-three thousand, two hundred thirty-three".

Divisors: 1 3 9 27 12703 38109 114327 342981 356093 1068279 3204837 9614511 4523449379 13570348137 40711044411 122133133233