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334000231201 = 74132823129
BaseRepresentation
bin1001101110000111111…
…01110001001100100001
31011221010001100201201101
410313003331301030201
520433013024344301
6413234304034401
733062560060000
oct4670375611441
91157101321641
10334000231201
1111971547222a
1254894002a01
132565ab96700
1412246960c37
158a4c5a6701
hex4dc3f71321

334000231201 has 30 divisors (see below), whose sum is σ = 421922444790. Its totient is φ = 264263598144.

The previous prime is 334000231189. The next prime is 334000231207. The reversal of 334000231201 is 102132000433.

It can be written as a sum of positive squares in 3 ways, for example, as 46061744400 + 287938486801 = 214620^2 + 536599^2 .

It is not a de Polignac number, because 334000231201 - 27 = 334000231073 is a prime.

It is a super-2 number, since 2×3340002312012 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (334000231207) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 5796 + ... + 817333.

It is an arithmetic number, because the mean of its divisors is an integer number (14064081493).

Almost surely, 2334000231201 is an apocalyptic number.

It is an amenable number.

334000231201 is a deficient number, since it is larger than the sum of its proper divisors (87922213589).

334000231201 is an frugal number, since it uses more digits than its factorization.

334000231201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 823183 (or 823149 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 334000231201 its reverse (102132000433), we get a palindrome (436132231634).

The spelling of 334000231201 in words is "three hundred thirty-four billion, two hundred thirty-one thousand, two hundred one".

Divisors: 1 7 13 49 91 169 343 637 1183 2401 4459 8281 31213 57967 405769 823129 5761903 10700677 40333321 74904739 139108801 282333247 524333173 973761607 1976332729 3670332211 6816331249 25692325477 47714318743 334000231201