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20213140311 = 32713131293643
BaseRepresentation
bin10010110100110011…
…000000101101010111
31221011200120220210100
4102310303000231113
5312344030442221
613141421425143
71313620600140
oct226463005527
957150526710
1020213140311
118632877541
123b0140b1b3
131ba18b2c70
14d9a728ac7
157d481d926
hex4b4cc0b57

20213140311 has 96 divisors (see below), whose sum is σ = 36388864512. Its totient is φ = 10527978240.

The previous prime is 20213140279. The next prime is 20213140327. The reversal of 20213140311 is 11304131202.

20213140311 is a `hidden beast` number, since 2 + 0 + 213 + 140 + 311 = 666.

It is not a de Polignac number, because 20213140311 - 25 = 20213140279 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20213150311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31435356 + ... + 31435998.

It is an arithmetic number, because the mean of its divisors is an integer number (379050672).

Almost surely, 220213140311 is an apocalyptic number.

20213140311 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

20213140311 is a deficient number, since it is larger than the sum of its proper divisors (16175724201).

20213140311 is a wasteful number, since it uses less digits than its factorization.

20213140311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1093 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 20213140311 its reverse (11304131202), we get a palindrome (31517271513).

The spelling of 20213140311 in words is "twenty billion, two hundred thirteen million, one hundred forty thousand, three hundred eleven".

Divisors: 1 3 7 9 13 21 39 63 91 117 131 273 293 393 643 819 879 917 1179 1703 1929 2051 2637 2751 3809 4501 5109 5787 6153 8253 8359 11427 11921 13503 15327 18459 25077 26663 34281 35763 38383 40509 58513 75231 79989 84233 107289 115149 175539 188399 239967 252699 268681 345447 498979 526617 565197 589631 758097 806043 1095029 1318793 1496937 1695591 1768893 2418129 2449187 3285087 3492853 3956379 4490811 5306679 7347561 7665203 9855261 10478559 11869137 17144309 22042683 22995609 24680269 31435677 51432927 68986827 74040807 154298781 172761883 222122421 320843497 518285649 962530491 1554856947 2245904479 2887591473 6737713437 20213140311