Search a number
-
+
334013301201 = 34759910193881
BaseRepresentation
bin1001101110001001011…
…11101000000111010001
31011221010221221202101110
410313010233220013101
520433024401114301
6413235452123533
733063106133646
oct4670457500721
91157127852343
10334013301201
11119721889988
12548984665a9
13256607c1738
14122485a3dcd
158a4d7d90d6
hex4dc4be81d1

334013301201 has 32 divisors (see below), whose sum is σ = 456150528000. Its totient is φ = 217304397440.

The previous prime is 334013301179. The next prime is 334013301211. The reversal of 334013301201 is 102103310433.

It is a cyclic number.

It is not a de Polignac number, because 334013301201 - 26 = 334013301137 is a prime.

It is a super-2 number, since 2×3340133012012 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (334013301211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86061781 + ... + 86065661.

It is an arithmetic number, because the mean of its divisors is an integer number (14254704000).

Almost surely, 2334013301201 is an apocalyptic number.

It is an amenable number.

334013301201 is a deficient number, since it is larger than the sum of its proper divisors (122137226799).

334013301201 is a wasteful number, since it uses less digits than its factorization.

334013301201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5549.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 334013301201 its reverse (102103310433), we get a palindrome (436116611634).

The spelling of 334013301201 in words is "three hundred thirty-four billion, thirteen million, three hundred one thousand, two hundred one".

Divisors: 1 3 47 141 599 1019 1797 3057 3881 11643 28153 47893 84459 143679 182407 547221 610381 1831143 2324719 3954739 6974157 11864217 28687907 86063721 109261793 185872733 327785379 557618199 2368888661 7106665983 111337767067 334013301201