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42211313431 = 72310319113327
BaseRepresentation
bin100111010011111111…
…011000011100010111
311000221210000220020221
4213103333120130113
51142422044012211
631220330535211
73023015146510
oct472377303427
9130853026227
1042211313431
11169a1205601
128220597507
133c99245551
142086151a07
151170bdac71
hex9d3fd8717

42211313431 has 32 divisors (see below), whose sum is σ = 51097632768. Its totient is φ = 34090040160.

The previous prime is 42211313413. The next prime is 42211313437. The reversal of 42211313431 is 13431311224.

It is a cyclic number.

It is not a de Polignac number, because 42211313431 - 211 = 42211311383 is a prime.

It is a super-2 number, since 2×422113134312 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42211313396 and 42211313405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42211313437) 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, 3160690 + ... + 3174016.

It is an arithmetic number, because the mean of its divisors is an integer number (1596801024).

Almost surely, 242211313431 is an apocalyptic number.

42211313431 is a deficient number, since it is larger than the sum of its proper divisors (8886319337).

42211313431 is a wasteful number, since it uses less digits than its factorization.

42211313431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13651.

The product of its digits is 1728, while the sum is 25.

Adding to 42211313431 its reverse (13431311224), we get a palindrome (55642624655).

The spelling of 42211313431 in words is "forty-two billion, two hundred eleven million, three hundred thirteen thousand, four hundred thirty-one".

Divisors: 1 7 23 103 161 191 721 1337 2369 4393 13327 16583 19673 30751 93289 137711 306521 452479 1372681 2145647 2545457 3167353 9608767 17818199 31571663 58545511 221001641 262182071 409818577 1835274497 6030187633 42211313431