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242113010441 = 311391972231279
BaseRepresentation
bin1110000101111100001…
…1110101101100001001
3212010221021100021101212
43201133003311230021
512431321412313231
6303120350022505
723330533430051
oct3413703655411
9763837307355
10242113010441
1193752534265
123ab0b1a7a35
1319aa6096473
14ba0b164561
1564706e342b
hex385f0f5b09

242113010441 has 32 divisors (see below), whose sum is σ = 254332108800. Its totient is φ = 230218511040.

The previous prime is 242113010423. The next prime is 242113010459. The reversal of 242113010441 is 144010311242.

It is an interprime number because it is at equal distance from previous prime (242113010423) and next prime (242113010459).

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-242113010441 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (242113010401) 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, 189298040 + ... + 189299318.

It is an arithmetic number, because the mean of its divisors is an integer number (7947878400).

Almost surely, 2242113010441 is an apocalyptic number.

It is an amenable number.

242113010441 is a deficient number, since it is larger than the sum of its proper divisors (12219098359).

242113010441 is a wasteful number, since it uses less digits than its factorization.

242113010441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1869.

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 242113010441 its reverse (144010311242), we get a palindrome (386123321683).

The spelling of 242113010441 in words is "two hundred forty-two billion, one hundred thirteen million, ten thousand, four hundred forty-one".

Divisors: 1 31 139 197 223 1279 4309 6107 6913 27383 30997 39649 43931 177781 251963 285217 848873 960907 1361861 5511211 6106409 7810853 8841727 35022857 39645163 56187749 189298679 1085708567 1229000053 1741820219 7810097111 242113010441