Search a number
-
+
122132201300022 = 23193728955002679
BaseRepresentation
bin11011110001010000011110…
…011110010110000000110110
3121000102201120002200202110210
4123301100132132112000312
5112002003222013100042
61111430431514330250
734503521542202004
oct3361203636260066
9530381502622423
10122132201300022
1135a07a80721441
1211846057129986
13531c02b930b54
1422233314c3a74
15e1be1386da9c
hex6f141e796036

122132201300022 has 32 divisors (see below), whose sum is σ = 264069624441600. Its totient is φ = 37525683470688.

The previous prime is 122132201299993. The next prime is 122132201300027. The reversal of 122132201300022 is 220003102231221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122132201300027) 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, 14477497122 + ... + 14477505557.

It is an arithmetic number, because the mean of its divisors is an integer number (8252175763800).

Almost surely, 2122132201300022 is an apocalyptic number.

122132201300022 is an abundant number, since it is smaller than the sum of its proper divisors (141937423141578).

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

122132201300022 is a wasteful number, since it uses less digits than its factorization.

122132201300022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28955002740.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 122132201300022 its reverse (220003102231221), we get a palindrome (342135303531243).

The spelling of 122132201300022 in words is "one hundred twenty-two trillion, one hundred thirty-two billion, two hundred one million, three hundred thousand, twenty-two".

Divisors: 1 2 3 6 19 37 38 57 74 111 114 222 703 1406 2109 4218 28955002679 57910005358 86865008037 173730016074 550145050901 1071335099123 1100290101802 1650435152703 2142670198246 3214005297369 3300870305406 6428010594738 20355366883337 40710733766674 61066100650011 122132201300022