Search a number
-
+
332020311020001 = 32192293523846181
BaseRepresentation
bin100101101111110001000000…
…0101100100101000111100001
31121112120211110100020220210100
41023133202000230211013201
5322004310044110120001
63134052005240053013
7126635450552406162
oct11337420054450741
91545524410226710
10332020311020001
11968790289012aa
12312a3916464169
13113354c503ba56
145bdbc23d99769
15285b92481a586
hex12df880b251e1

332020311020001 has 36 divisors (see below), whose sum is σ = 523608304183380. Its totient is φ = 202466106118080.

The previous prime is 332020311019973. The next prime is 332020311020003. The reversal of 332020311020001 is 100020113020233.

332020311020001 is a `hidden beast` number, since 332 + 0 + 2 + 0 + 311 + 0 + 20 + 0 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 138334081925601 + 193686229094400 = 11761551^2 + 13917120^2 .

It is not a de Polignac number, because 332020311020001 - 226 = 332020243911137 is a prime.

It is a super-2 number, since 2×3320203110200012 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (332020311020003) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1761828870 + ... + 1762017311.

It is an arithmetic number, because the mean of its divisors is an integer number (14544675116205).

Almost surely, 2332020311020001 is an apocalyptic number.

It is an amenable number.

332020311020001 is a deficient number, since it is larger than the sum of its proper divisors (191587993163379).

332020311020001 is a wasteful number, since it uses less digits than its factorization.

332020311020001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3523846254 (or 3523846232 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 332020311020001 its reverse (100020113020233), we get a palindrome (432040424040234).

The spelling of 332020311020001 in words is "three hundred thirty-two trillion, twenty billion, three hundred eleven million, twenty thousand, one".

Divisors: 1 3 9 19 29 57 87 171 261 361 551 1083 1653 3249 4959 10469 31407 94221 3523846181 10571538543 31714615629 66953077439 102191539249 200859232317 306574617747 602577696951 919723853241 1272108471341 1941639245731 3816325414023 5824917737193 11448976242069 17474753211579 36891145668889 110673437006667 332020311020001