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122113211301 = 3276117829349
BaseRepresentation
bin111000110111010000…
…0111011101110100101
3102200012021112212102200
41301232200323232211
54000041440230201
6132033101525113
711552036112204
oct1615640735645
9380167485380
10122113211301
11478737a7044
121b7bb573799
13b690c4c663
145ca5c7123b
15329a77c386
hex1c6e83bba5

122113211301 has 12 divisors (see below), whose sum is σ = 176617541100. Its totient is φ = 81301826880.

The previous prime is 122113211249. The next prime is 122113211329. The reversal of 122113211301 is 103112311221.

122113211301 is a `hidden beast` number, since 1 + 2 + 211 + 321 + 130 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8561060676 + 113552150625 = 92526^2 + 336975^2 .

It is not a de Polignac number, because 122113211301 - 210 = 122113210277 is a prime.

It is a super-2 number, since 2×1221132113012 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122113211401) 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, 8907826 + ... + 8921523.

It is an arithmetic number, because the mean of its divisors is an integer number (14718128425).

Almost surely, 2122113211301 is an apocalyptic number.

It is an amenable number.

122113211301 is a deficient number, since it is larger than the sum of its proper divisors (54504329799).

122113211301 is a wasteful number, since it uses less digits than its factorization.

122113211301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17830116 (or 17830113 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 122113211301 its reverse (103112311221), we get a palindrome (225225522522).

The spelling of 122113211301 in words is "one hundred twenty-two billion, one hundred thirteen million, two hundred eleven thousand, three hundred one".

Divisors: 1 3 9 761 2283 6849 17829349 53488047 160464141 13568134589 40704403767 122113211301