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10131212211021 = 3211102335476879
BaseRepresentation
bin1001001101101101101101…
…0011100001001101001101
31022212112102121011012100200
42103123123103201031031
52311442210311223041
633314114210044113
72063645611625466
oct223333323411515
938775377135320
1010131212211021
11325669419a240
1211775b6579639
135864a520b585
142704d35c5d6d
151288094051b6
hex936db4e134d

10131212211021 has 12 divisors (see below), whose sum is σ = 15964334393280. Its totient is φ = 6140128612680.

The previous prime is 10131212211011. The next prime is 10131212211067. The reversal of 10131212211021 is 12011221213101.

It is a happy number.

10131212211021 is a `hidden beast` number, since 101 + 312 + 1 + 221 + 10 + 21 = 666.

It is not a de Polignac number, because 10131212211021 - 213 = 10131212202829 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10131212210985 and 10131212211003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10131212211011) 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 11 ways as a sum of consecutive naturals, for example, 51167738341 + ... + 51167738538.

It is an arithmetic number, because the mean of its divisors is an integer number (1330361199440).

Almost surely, 210131212211021 is an apocalyptic number.

10131212211021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10131212211021 is a deficient number, since it is larger than the sum of its proper divisors (5833122182259).

10131212211021 is a wasteful number, since it uses less digits than its factorization.

10131212211021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102335476896 (or 102335476893 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 10131212211021 its reverse (12011221213101), we get a palindrome (22142433424122).

The spelling of 10131212211021 in words is "ten trillion, one hundred thirty-one billion, two hundred twelve million, two hundred eleven thousand, twenty-one".

Divisors: 1 3 9 11 33 99 102335476879 307006430637 921019291911 1125690245669 3377070737007 10131212211021