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20312033333031 = 33111922715856871
BaseRepresentation
bin1001001111001010000111…
…00010000000111100100111
32122220210220112020012002000
410213211003202000330213
510130243021013124111
6111111115211220343
74164332056420656
oct447450342007447
978823815205060
1020312033333031
116521315312570
122340736a476b3
13b4455514823b
145031715b719d
15253568b9bc56
hex127943880f27

20312033333031 has 64 divisors (see below), whose sum is σ = 34707521433600. Its totient is φ = 11611034488800.

The previous prime is 20312033333029. The next prime is 20312033333057. The reversal of 20312033333031 is 13033333021302.

20312033333031 is a `hidden beast` number, since 2 + 0 + 3 + 1 + 20 + 3 + 333 + 303 + 1 = 666.

It is not a de Polignac number, because 20312033333031 - 21 = 20312033333029 is a prime.

It is a super-2 number, since 2×203120333330312 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 20312033332986 and 20312033333004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20312033333731) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6647475 + ... + 9209396.

It is an arithmetic number, because the mean of its divisors is an integer number (542305022400).

Almost surely, 220312033333031 is an apocalyptic number.

20312033333031 is a deficient number, since it is larger than the sum of its proper divisors (14395488100569).

20312033333031 is a wasteful number, since it uses less digits than its factorization.

20312033333031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15857137 (or 15857131 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 27.

Adding to 20312033333031 its reverse (13033333021302), we get a palindrome (33345366354333).

The spelling of 20312033333031 in words is "twenty trillion, three hundred twelve billion, thirty-three million, three hundred thirty-three thousand, thirty-one".

Divisors: 1 3 9 11 19 27 33 57 99 171 209 227 297 513 627 681 1881 2043 2497 4313 5643 6129 7491 12939 22473 38817 47443 67419 116451 142329 426987 1280961 15856871 47570613 142711839 174425581 301280549 428135517 523276743 903841647 1569830229 2711524941 3314086039 3599509717 4709490687 8134574823 9942258117 10798529151 29826774351 32395587453 39594606887 68390684623 89480323053 97186762359 118783820661 205172053869 356351461983 615516161607 752297530853 1069054385949 1846548484821 2256892592559 6770677777677 20312033333031