Search a number
-
+
122103120011202 = 2321131412571887917
BaseRepresentation
bin11011110000110101011001…
…000110000001111111000010
3121000022221111101010012220200
4123300311121012001333002
5112001014142210324302
61111405222101350030
734501442066262261
oct3360653106017702
9530287441105820
10122103120011202
11359a670802a750
121184049ba08316
1353193759b4045
142221b730a65d8
15e1b2b071a81c
hex6f0d59181fc2

122103120011202 has 192 divisors, whose sum is σ = 306371212213248. Its totient is φ = 34798067712000.

The previous prime is 122103120011143. The next prime is 122103120011227. The reversal of 122103120011202 is 202110021301221.

122103120011202 is a `hidden beast` number, since 1 + 221 + 0 + 31 + 200 + 11 + 202 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 63732148 + ... + 65620064.

It is an arithmetic number, because the mean of its divisors is an integer number (1595683396944).

Almost surely, 2122103120011202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122103120011202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153185606106624).

122103120011202 is an abundant number, since it is smaller than the sum of its proper divisors (184268092202046).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122103120011202 is a wasteful number, since it uses less digits than its factorization.

122103120011202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1888265 (or 1888262 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 122103120011202 its reverse (202110021301221), we get a palindrome (324213141312423).

The spelling of 122103120011202 in words is "one hundred twenty-two trillion, one hundred three billion, one hundred twenty million, eleven thousand, two hundred two".