Search a number
-
+
332020013121033 = 341137281157144633
BaseRepresentation
bin100101101111110000110111…
…0111100001011111000001001
31121112120210200120201002020020
41023133201232330023320021
5322004303441324333113
63134051515515051053
7126635440304330106
oct11337415674137011
91545523616632206
10332020013121033
1196878995732406
12312a3852740a89
13113354783c8383
145bdbbd65b1aad
15285b9085c4023
hex12df86ef0be09

332020013121033 has 64 divisors (see below), whose sum is σ = 458728610183424. Its totient is φ = 213468071936000.

The previous prime is 332020013120969. The next prime is 332020013121059. The reversal of 332020013121033 is 330121310020233.

It is a cyclic number.

It is not a de Polignac number, because 332020013121033 - 26 = 332020013120969 is a prime.

It is a super-2 number, since 2×3320200131210332 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 332020013120994 and 332020013121012.

It is not an unprimeable number, because it can be changed into a prime (332020013125033) 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, 7438868485 + ... + 7438913117.

It is an arithmetic number, because the mean of its divisors is an integer number (7167634534116).

Almost surely, 2332020013121033 is an apocalyptic number.

It is an amenable number.

332020013121033 is a deficient number, since it is larger than the sum of its proper divisors (126708597062391).

332020013121033 is a wasteful number, since it uses less digits than its factorization.

332020013121033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46666.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 332020013121033 its reverse (330121310020233), we get a palindrome (662141323141266).

The spelling of 332020013121033 in words is "three hundred thirty-two trillion, twenty billion, thirteen million, one hundred twenty-one thousand, thirty-three".

Divisors: 1 3 41 123 137 281 411 843 1571 4713 5617 11521 16851 34563 38497 44633 64411 115491 133899 193233 215227 441451 645681 1324353 1578377 1829953 4735131 5489859 6114721 8824307 12541873 18099491 18344163 26472921 37625619 54298473 60478787 70118443 181436361 210355329 250703561 514216793 752110683 1542650379 1718236601 2479630267 2874856163 5154709803 7438890801 8624568489 9606226691 19703282483 28818680073 59109847449 70447700641 211343101923 393855294331 807834581803 1181565882993 2423503745409 2699349700171 8098049100513 110673337707011 332020013121033