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242101313311 = 11132390781157
BaseRepresentation
bin1110000101111001011…
…1001101111100011111
3212010220110022222221211
43201132113031330133
512431310414011221
6303115251205251
723330332131454
oct3413627157437
9763813288854
10242101313311
1193746975010
123ab072a6827
1319aa382c2a0
14ba0979b82b
15646e6826e1
hex385e5cdf1f

242101313311 has 32 divisors (see below), whose sum is σ = 297123982848. Its totient is φ = 194112167040.

The previous prime is 242101313249. The next prime is 242101313317. The reversal of 242101313311 is 113313101242.

It is not a de Polignac number, because 242101313311 - 221 = 242099216159 is a prime.

It is a super-2 number, since 2×2421013133112 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242101313317) 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, 2942545 + ... + 3023701.

It is an arithmetic number, because the mean of its divisors is an integer number (9285124464).

Almost surely, 2242101313311 is an apocalyptic number.

242101313311 is a deficient number, since it is larger than the sum of its proper divisors (55022669537).

242101313311 is a wasteful number, since it uses less digits than its factorization.

242101313311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82111.

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 242101313311 its reverse (113313101242), we get a palindrome (355414414553).

The spelling of 242101313311 in words is "two hundred forty-two billion, one hundred one million, three hundred thirteen thousand, three hundred eleven".

Divisors: 1 11 13 23 143 253 299 907 3289 9977 11791 20861 81157 129701 229471 271193 892727 1055041 1866611 2983123 11605451 20532721 24265943 73609399 266925373 809703389 956922187 1693016177 10526144057 18623177947 22009210301 242101313311