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2122300202031 = 321315413327329
BaseRepresentation
bin11110111000100010111…
…100110001110000101111
321111220000202020211110100
4132320202330301300233
5234232432322431111
64302545442442143
7306221402032602
oct36704274616057
97456022224410
102122300202031
11749076154819
122a3396063353
13125194164819
1474a114b8339
153a314d94756
hex1ee22f31c2f

2122300202031 has 24 divisors (see below), whose sum is σ = 3094656467760. Its totient is φ = 1401470553600.

The previous prime is 2122300202017. The next prime is 2122300202039. The reversal of 2122300202031 is 1302020032212.

2122300202031 is a `hidden beast` number, since 212 + 230 + 0 + 20 + 203 + 1 = 666.

It is not a de Polignac number, because 2122300202031 - 223 = 2122291813423 is a prime.

It is a super-2 number, since 2×21223002020312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2122300201995 and 2122300202013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122300202039) 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 23 ways as a sum of consecutive naturals, for example, 1025826 + ... + 2301503.

It is an arithmetic number, because the mean of its divisors is an integer number (128944019490).

Almost surely, 22122300202031 is an apocalyptic number.

2122300202031 is a deficient number, since it is larger than the sum of its proper divisors (972356265729).

2122300202031 is a wasteful number, since it uses less digits than its factorization.

2122300202031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3328007 (or 3328004 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 2122300202031 its reverse (1302020032212), we get a palindrome (3424320234243).

The spelling of 2122300202031 in words is "two trillion, one hundred twenty-two billion, three hundred million, two hundred two thousand, thirty-one".

Divisors: 1 3 9 131 393 541 1179 1623 4869 70871 212613 637839 3327329 9981987 29945961 435880099 1307640297 1800084989 3922920891 5400254967 16200764901 235811133559 707433400677 2122300202031