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31121100213 = 377589195277
BaseRepresentation
bin11100111110111101…
…100100110110110101
32222022212211200202020
4130332331210312311
51002214000201323
622144041103353
72151131662410
oct347675446665
988285750666
1031121100213
1112220060235
126046487b59
132c1c722bc8
1417132bab77
15c2227bae3
hex73ef64db5

31121100213 has 16 divisors (see below), whose sum is σ = 47429120640. Its totient is φ = 17781051456.

The previous prime is 31121100203. The next prime is 31121100239. The reversal of 31121100213 is 31200112113.

It is a happy number.

It is not a de Polignac number, because 31121100213 - 25 = 31121100181 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 31121100192 and 31121100201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31121100203) 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, 61731 + ... + 257007.

It is an arithmetic number, because the mean of its divisors is an integer number (2964320040).

Almost surely, 231121100213 is an apocalyptic number.

It is an amenable number.

31121100213 is a deficient number, since it is larger than the sum of its proper divisors (16308020427).

31121100213 is a wasteful number, since it uses less digits than its factorization.

31121100213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202876.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 31121100213 its reverse (31200112113), we get a palindrome (62321212326).

The spelling of 31121100213 in words is "thirty-one billion, one hundred twenty-one million, one hundred thousand, two hundred thirteen".

Divisors: 1 3 7 21 7589 22767 53123 159369 195277 585831 1366939 4100817 1481957153 4445871459 10373700071 31121100213