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220211303303331 = 3289313878340187
BaseRepresentation
bin110010000100011111110000…
…100000100100100010100011
31001212200222212100112112220200
4302010133300200210202203
5212330420222121201311
62100203402014440243
764245512244644514
oct6204376040444243
91055628770475820
10220211303303331
11641910a88aa68a
1220846513b03083
1395b4ab55a2942
143c543d9226a0b
151a6d30489b556
hexc847f08248a3

220211303303331 has 24 divisors (see below), whose sum is σ = 322684618267440. Its totient is φ = 144694248880896.

The previous prime is 220211303303317. The next prime is 220211303303399. The reversal of 220211303303331 is 133303303112022.

220211303303331 is a `hidden beast` number, since 2 + 2 + 0 + 21 + 1 + 3 + 0 + 3 + 303 + 331 = 666.

It is not a de Polignac number, because 220211303303331 - 29 = 220211303302819 is a prime.

It is a super-2 number, since 2×2202113033033312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 220211303303295 and 220211303303304.

It is not an unprimeable number, because it can be changed into a prime (220211303303231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 438919381 + ... + 439420806.

It is an arithmetic number, because the mean of its divisors is an integer number (13445192427810).

Almost surely, 2220211303303331 is an apocalyptic number.

220211303303331 is a deficient number, since it is larger than the sum of its proper divisors (102473314964109).

220211303303331 is a wasteful number, since it uses less digits than its factorization.

220211303303331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878340595 (or 878340592 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 220211303303331 its reverse (133303303112022), we get a palindrome (353514606415353).

The spelling of 220211303303331 in words is "two hundred twenty trillion, two hundred eleven billion, three hundred three million, three hundred three thousand, three hundred thirty-one".

Divisors: 1 3 9 89 267 313 801 939 2817 27857 83571 250713 878340187 2635020561 7905061683 78172276643 234516829929 274920478531 703550489787 824761435593 2474284306779 24467922589259 73403767767777 220211303303331