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122022212013 = 321310112781307
BaseRepresentation
bin111000110100100010…
…1110011000110101101
3102122221221022121212200
41301221011303012231
53444400141241023
6132020051252113
711546552455152
oct1615105630655
9378857277780
10122022212013
11478273a2a19
121b794baa039
13b67813a920
145c97b44229
1532927a4743
hex1c691731ad

122022212013 has 48 divisors (see below), whose sum is σ = 193203419136. Its totient is φ = 73760803200.

The previous prime is 122022211981. The next prime is 122022212017. The reversal of 122022212013 is 310212220221.

It is not a de Polignac number, because 122022212013 - 25 = 122022211981 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122022212017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1460106 + ... + 1541412.

It is an arithmetic number, because the mean of its divisors is an integer number (4025071232).

Almost surely, 2122022212013 is an apocalyptic number.

122022212013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

122022212013 is a deficient number, since it is larger than the sum of its proper divisors (71181207123).

122022212013 is a wasteful number, since it uses less digits than its factorization.

122022212013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81554 (or 81551 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 122022212013 its reverse (310212220221), we get a palindrome (432234432234).

The spelling of 122022212013 in words is "one hundred twenty-two billion, twenty-two million, two hundred twelve thousand, thirteen".

Divisors: 1 3 9 13 39 101 117 127 303 381 909 1143 1313 1651 3939 4953 11817 12827 14859 38481 81307 115443 166751 243921 500253 731763 1056991 1500759 3170973 8212007 9512919 10325989 24636021 30977967 73908063 92933901 106756091 134237857 320268273 402713571 960804819 1042924889 1208140713 3128774667 9386324001 13558023557 40674070671 122022212013