Search a number
-
+
122130202321 = 4738912775231
BaseRepresentation
bin111000110111110000…
…1101111111011010001
3102200020110112002201201
41301233201233323101
54000110312433241
6132034510031201
711552333406541
oct1615741577321
9380213462651
10122130202321
1147882351706
121b8051a8501
13b69461b30a
145ca8215321
15329bed6931
hex1c6f86fed1

122130202321 has 16 divisors (see below), whose sum is σ = 125171205120. Its totient is φ = 119108271040.

The previous prime is 122130202303. The next prime is 122130202459. The reversal of 122130202321 is 123202031221.

It is a cyclic number.

It is not a de Polignac number, because 122130202321 - 211 = 122130200273 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122130202301) 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, 23344776 + ... + 23350006.

It is an arithmetic number, because the mean of its divisors is an integer number (7823200320).

Almost surely, 2122130202321 is an apocalyptic number.

It is an amenable number.

122130202321 is a deficient number, since it is larger than the sum of its proper divisors (3041002799).

122130202321 is a wasteful number, since it uses less digits than its factorization.

122130202321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6944.

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 122130202321 its reverse (123202031221), we get a palindrome (245332233542).

The spelling of 122130202321 in words is "one hundred twenty-two billion, one hundred thirty million, two hundred two thousand, three hundred twenty-one".

Divisors: 1 47 389 1277 5231 18283 60019 245857 496753 2034859 6679987 23347391 95638373 313959389 2598514943 122130202321