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20211322131 = 32711135713929
BaseRepresentation
bin10010110100101100…
…000100110100010011
31221011120011112201100
4102310230010310103
5312343044302011
613141314435443
71313566255260
oct226454046423
957146145640
1020211322131
118631845510
123b00892b83
131ba13c7510
14d9a3b4267
157d45aed56
hex4b4b04d13

20211322131 has 96 divisors (see below), whose sum is σ = 39276357120. Its totient is φ = 9672307200.

The previous prime is 20211322129. The next prime is 20211322141. The reversal of 20211322131 is 13122311202.

20211322131 is a `hidden beast` number, since 2 + 0 + 211 + 322 + 131 = 666.

It is not a de Polignac number, because 20211322131 - 21 = 20211322129 is a prime.

It is a super-2 number, since 2×202113221312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20211322141) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5142175 + ... + 5146103.

It is an arithmetic number, because the mean of its divisors is an integer number (409128720).

Almost surely, 220211322131 is an apocalyptic number.

20211322131 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

20211322131 is a deficient number, since it is larger than the sum of its proper divisors (19065034989).

20211322131 is a wasteful number, since it uses less digits than its factorization.

20211322131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4537 (or 4534 counting only the distinct ones).

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

Adding to 20211322131 its reverse (13122311202), we get a palindrome (33333633333).

The spelling of 20211322131 in words is "twenty billion, two hundred eleven million, three hundred twenty-two thousand, one hundred thirty-one".

Divisors: 1 3 7 9 11 13 21 33 39 63 77 91 99 117 143 231 273 429 571 693 819 1001 1287 1713 3003 3929 3997 5139 6281 7423 9009 11787 11991 18843 22269 27503 35361 35973 43219 43967 51077 51961 56529 66807 81653 82509 129657 131901 153231 155883 244959 247527 302533 357539 388971 395703 459693 467649 561847 571571 734877 907599 1072617 1685541 1714713 2243459 2722797 3217851 3932929 5056623 5144139 6730377 11798787 15704213 20191131 24678049 29164967 35396361 47112639 74034147 87494901 141337917 172746343 204154769 222102441 262484703 320814637 518239029 612464307 962443911 1554717087 1837392921 2245702459 2887331733 6737107377 20211322131