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242130413221021 = 13233857237739241
BaseRepresentation
bin110111000011011101100001…
…010001001111010010011101
31011202022102220210212222011001
4313003131201101033102131
5223214031041241033041
62214545102022430301
7102000226234101643
oct6703354121172235
91152272823788131
10242130413221021
1170171a27a33406
12231a65b5592391
13a514a527827c0
1443b1262ca1193
151ced57b023131
hexdc376144f49d

242130413221021 has 32 divisors (see below), whose sum is σ = 262297508080608. Its totient is φ = 222186890280960.

The previous prime is 242130413221001. The next prime is 242130413221091. The reversal of 242130413221021 is 120122314031242.

It can be written as a sum of positive squares in 16 ways, for example, as 95826752904996 + 146303660316025 = 9789114^2 + 12095605^2 .

It is a cyclic number.

It is not a de Polignac number, because 242130413221021 - 217 = 242130413089949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242130413221001) 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, 6170322961 + ... + 6170362201.

It is an arithmetic number, because the mean of its divisors is an integer number (8196797127519).

Almost surely, 2242130413221021 is an apocalyptic number.

It is an amenable number.

242130413221021 is a deficient number, since it is larger than the sum of its proper divisors (20167094859587).

242130413221021 is a wasteful number, since it uses less digits than its factorization.

242130413221021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42721.

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 242130413221021 its reverse (120122314031242), we get a palindrome (362252727252263).

The spelling of 242130413221021 in words is "two hundred forty-two trillion, one hundred thirty billion, four hundred thirteen million, two hundred twenty-one thousand, twenty-one".

Divisors: 1 13 233 857 2377 3029 11141 30901 39241 199681 510133 553841 2037089 2595853 7199933 9143153 26482157 33629537 93275857 118860989 437183981 474641737 1212586141 6170342581 7835682121 21733274681 79937409449 101863867573 282532570853 1039186322837 18625416401617 242130413221021