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242122002331 = 114111334913613
BaseRepresentation
bin1110000101111110011…
…0001000111110011011
3212010221220021002221211
43201133212020332123
512431331213033311
6303121310443551
723331003030346
oct3413746107633
9763856232854
10242122002331
1193757615a80
123ab122035b7
1319aa7bc4201
14ba0c42545d
1564713bc821
hex385f988f9b

242122002331 has 32 divisors (see below), whose sum is σ = 273772094400. Its totient is φ = 212216524800.

The previous prime is 242122002313. The next prime is 242122002361. The reversal of 242122002331 is 133200221242.

It is not a de Polignac number, because 242122002331 - 217 = 242121871259 is a prime.

It is a super-2 number, since 2×2421220023312 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (242122002361) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17779281 + ... + 17792893.

It is an arithmetic number, because the mean of its divisors is an integer number (8555377950).

Almost surely, 2242122002331 is an apocalyptic number.

242122002331 is a deficient number, since it is larger than the sum of its proper divisors (31650092069).

242122002331 is a wasteful number, since it uses less digits than its factorization.

242122002331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14127.

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 242122002331 its reverse (133200221242), we get a palindrome (375322223573).

Subtracting from 242122002331 its reverse (133200221242), we obtain a square (108921781089 = 3300332).

The spelling of 242122002331 in words is "two hundred forty-two billion, one hundred twenty-two million, two thousand, three hundred thirty-one".

Divisors: 1 11 41 113 349 451 1243 3839 4633 13613 14309 39437 50963 149743 157399 433807 558133 1538269 1616917 4750937 6139463 16920959 17786087 52260307 63069029 194788417 536855881 693759319 2142672587 5905414691 22011091121 242122002331