Base | Representation |
---|---|
bin | 11111000000110110110… |
… | …010101000001100010111 |
3 | 21112202001121002222001110 |
4 | 133000312302220030113 |
5 | 234404221043122221 |
6 | 4311023105430103 |
7 | 306655456526220 |
oct | 37006662501427 |
9 | 7482047088043 |
10 | 2131223020311 |
11 | 75193491a200 |
12 | 2a506633b333 |
13 | 125c86930458 |
14 | 7521a55c247 |
15 | 3a6883c7776 |
hex | 1f036ca8317 |
2131223020311 has 48 divisors (see below), whose sum is σ = 3572039520000. Its totient is φ = 1106388286080.
The previous prime is 2131223020291. The next prime is 2131223020313. The reversal of 2131223020311 is 1130203221312.
It is not a de Polignac number, because 2131223020311 - 223 = 2131214631703 is a prime.
It is a super-2 number, since 2×21312230203112 (a number of 25 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (21).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2131223020313) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3529195 + ... + 4088723.
It is an arithmetic number, because the mean of its divisors is an integer number (74417490000).
Almost surely, 22131223020311 is an apocalyptic number.
2131223020311 is a gapful number since it is divisible by the number (21) formed by its first and last digit.
2131223020311 is a deficient number, since it is larger than the sum of its proper divisors (1440816499689).
2131223020311 is a wasteful number, since it uses less digits than its factorization.
2131223020311 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 561060 (or 561049 counting only the distinct ones).
The product of its (nonzero) digits is 432, while the sum is 21.
Adding to 2131223020311 its reverse (1130203221312), we get a palindrome (3261426241623).
The spelling of 2131223020311 in words is "two trillion, one hundred thirty-one billion, two hundred twenty-three million, twenty thousand, three hundred eleven".
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