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2031131311 = 11231012787
BaseRepresentation
bin111100100010000…
…1001101010101111
312020112221011100121
41321010021222233
513124432200221
6533314105411
7101222221426
oct17104115257
95215834317
102031131311
11952580020
1248827b267
13264a57261
14153a802bd
15bd4b1a41
hex79109aaf

2031131311 has 24 divisors (see below), whose sum is σ = 2338204032. Its totient is φ = 1746492000.

The previous prime is 2031131309. The next prime is 2031131327. The reversal of 2031131311 is 1131311302.

It is not a de Polignac number, because 2031131311 - 21 = 2031131309 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2031131381) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2580460 + ... + 2581246.

It is an arithmetic number, because the mean of its divisors is an integer number (97425168).

Almost surely, 22031131311 is an apocalyptic number.

2031131311 is a deficient number, since it is larger than the sum of its proper divisors (307072721).

2031131311 is a wasteful number, since it uses less digits than its factorization.

2031131311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1023 (or 922 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

The square root of 2031131311 is about 45068.0741878328. The cubic root of 2031131311 is about 1266.4245874483.

Adding to 2031131311 its reverse (1131311302), we get a palindrome (3162442613).

Subtracting from 2031131311 its reverse (1131311302), we obtain a square (899820009 = 299972).

The spelling of 2031131311 in words is "two billion, thirty-one million, one hundred thirty-one thousand, three hundred eleven".

Divisors: 1 11 23 101 253 787 1111 2323 8657 10201 18101 25553 79487 112211 199111 234623 874357 1828201 2580853 8028187 20110211 88310057 184648301 2031131311