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2321131012011 = 327434718230257
BaseRepresentation
bin100001110001101110001…
…100000111111110101011
322012220020121111111202200
4201301232030013332223
5301012134014341021
64534151325031243
7326460535032420
oct41615614077653
98186217444680
102321131012011
11815427a43179
12315a260b5523
1313ab60189086
14804b41a9d47
15405a0867126
hex21c6e307fab

2321131012011 has 48 divisors (see below), whose sum is σ = 4004239709184. Its totient is φ = 1267950765312.

The previous prime is 2321131012007. The next prime is 2321131012021. The reversal of 2321131012011 is 1102101311232.

2321131012011 is a `hidden beast` number, since 2 + 321 + 1 + 310 + 1 + 20 + 11 = 666.

It is not a de Polignac number, because 2321131012011 - 22 = 2321131012007 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2321131012021) 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 47 ways as a sum of consecutive naturals, for example, 8987806 + ... + 9242451.

It is an arithmetic number, because the mean of its divisors is an integer number (83421660608).

Almost surely, 22321131012011 is an apocalyptic number.

2321131012011 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2321131012011 is a deficient number, since it is larger than the sum of its proper divisors (1683108697173).

2321131012011 is a wasteful number, since it uses less digits than its factorization.

2321131012011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18230360 (or 18230357 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 2321131012011 its reverse (1102101311232), we get a palindrome (3423232323243).

The spelling of 2321131012011 in words is "two trillion, three hundred twenty-one billion, one hundred thirty-one million, twelve thousand, eleven".

Divisors: 1 3 7 9 21 43 47 63 129 141 301 329 387 423 903 987 2021 2709 2961 6063 14147 18189 42441 127323 18230257 54690771 127611799 164072313 382835397 783901051 856822079 1148506191 2351703153 2570466237 5487307357 5997754553 7055109459 7711398711 16461922071 17993263659 36843349397 49385766213 53979790977 110530048191 257903445779 331590144573 773710337337 2321131012011