Search a number
-
+
122123012100233 = 232347665292091
BaseRepresentation
bin11011110001000111111010…
…110000010101000010001001
3121000101211211200121001010212
4123301013322300111002021
5112001330412044201413
61111422312014050505
734503045041245034
oct3361077260250211
9530354750531125
10122123012100233
1135a04095654651
12118443117a9a35
13531b1c5c08421
142222adccdc01b
15e1ba76c6cca8
hex6f11fac15089

122123012100233 has 12 divisors (see below), whose sum is σ = 128031471352848. Its totient is φ = 116476677948840.

The previous prime is 122123012100181. The next prime is 122123012100253. The reversal of 122123012100233 is 332001210321221.

It is not a de Polignac number, because 122123012100233 - 228 = 122122743664777 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122123012100199 and 122123012100208.

It is not an unprimeable number, because it can be changed into a prime (122123012100253) 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, 332462483 + ... + 332829608.

It is an arithmetic number, because the mean of its divisors is an integer number (10669289279404).

Almost surely, 2122123012100233 is an apocalyptic number.

It is an amenable number.

122123012100233 is a deficient number, since it is larger than the sum of its proper divisors (5908459252615).

122123012100233 is an equidigital number, since it uses as much as digits as its factorization.

122123012100233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665292484 (or 665292461 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 122123012100233 its reverse (332001210321221), we get a palindrome (454124222421454).

The spelling of 122123012100233 in words is "one hundred twenty-two trillion, one hundred twenty-three billion, twelve million, one hundred thousand, two hundred thirty-three".

Divisors: 1 23 347 529 7981 183563 665292091 15301718093 230856355577 351939516139 5309696178271 122123012100233