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4202134013 = 721165311939
BaseRepresentation
bin1111101001110111…
…0111100111111101
3101211212001112012002
43322131313213331
532101221242023
61532550152045
7206063356400
oct37235674775
911755045162
104202134013
111866aa4530
12993352625
1351c77513c
142bc12dd37
15198da1b28
hexfa7779fd

4202134013 has 24 divisors (see below), whose sum is σ = 5341191840. Its totient is φ = 3269101920.

The previous prime is 4202134009. The next prime is 4202134019. The reversal of 4202134013 is 3104312024.

It is not a de Polignac number, because 4202134013 - 22 = 4202134009 is a prime.

It is a super-2 number, since 2×42021340132 = 35315860526422968338, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4202134019) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 345998 + ... + 357936.

It is an arithmetic number, because the mean of its divisors is an integer number (222549660).

Almost surely, 24202134013 is an apocalyptic number.

It is an amenable number.

4202134013 is a deficient number, since it is larger than the sum of its proper divisors (1139057827).

4202134013 is a wasteful number, since it uses less digits than its factorization.

4202134013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12617 (or 12610 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 4202134013 is about 64823.8691609811. The cubic root of 4202134013 is about 1613.7018598919.

Adding to 4202134013 its reverse (3104312024), we get a palindrome (7306446037).

The spelling of 4202134013 in words is "four billion, two hundred two million, one hundred thirty-four thousand, thirteen".

Divisors: 1 7 11 49 77 539 653 4571 7183 11939 31997 50281 83573 131329 351967 585011 919303 6435121 7796167 54573169 85757837 382012183 600304859 4202134013