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1021312041321 = 311132380680749
BaseRepresentation
bin11101101110010101111…
…00010000000101101001
310121122011222210022001210
432313022330100011221
5113213121340310241
62101103445303333
7133534031054205
oct16671274200551
93548158708053
101021312041321
11364155026a90
12145b2b404b49
1375403736190
1437608aa5b05
151b8777a0316
hexedcaf10169

1021312041321 has 16 divisors (see below), whose sum is σ = 1599817464000. Its totient is φ = 571363379520.

The previous prime is 1021312041311. The next prime is 1021312041359. The reversal of 1021312041321 is 1231402131201.

1021312041321 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1021312041321 - 27 = 1021312041193 is a prime.

It is a super-2 number, since 2×10213120413212 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1021312041311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1190339946 + ... + 1190340803.

It is an arithmetic number, because the mean of its divisors is an integer number (99988591500).

Almost surely, 21021312041321 is an apocalyptic number.

1021312041321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1021312041321 is a deficient number, since it is larger than the sum of its proper divisors (578505422679).

1021312041321 is a wasteful number, since it uses less digits than its factorization.

1021312041321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2380680776.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 1021312041321 its reverse (1231402131201), we get a palindrome (2252714172522).

The spelling of 1021312041321 in words is "one trillion, twenty-one billion, three hundred twelve million, forty-one thousand, three hundred twenty-one".

Divisors: 1 3 11 13 33 39 143 429 2380680749 7142042247 26187488239 30948849737 78562464717 92846549211 340437347107 1021312041321