Search a number
-
+
301829121 = 321117317623
BaseRepresentation
bin10001111111011…
…000110000000001
3210000221111201100
4101333120300001
51104232012441
645541125013
710323335166
oct2177306001
9700844640
10301829121
11145413760
12850b9769
134a6bb519
142c12c06d
151b770cb6
hex11fd8c01

301829121 has 24 divisors (see below), whose sum is σ = 478385856. Its totient is φ = 181859040.

The previous prime is 301829119. The next prime is 301829137. The reversal of 301829121 is 121928103.

It is not a de Polignac number, because 301829121 - 21 = 301829119 is a prime.

It is a super-2 number, since 2×3018291212 = 182201636567265282, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (301829821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8316 + ... + 25938.

It is an arithmetic number, because the mean of its divisors is an integer number (19932744).

Almost surely, 2301829121 is an apocalyptic number.

It is an amenable number.

301829121 is a deficient number, since it is larger than the sum of its proper divisors (176556735).

301829121 is a wasteful number, since it uses less digits than its factorization.

301829121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17813 (or 17810 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 301829121 is about 17373.2300105651. The cubic root of 301829121 is about 670.7907208541.

The spelling of 301829121 in words is "three hundred one million, eight hundred twenty-nine thousand, one hundred twenty-one".

Divisors: 1 3 9 11 33 99 173 519 1557 1903 5709 17127 17623 52869 158607 193853 581559 1744677 3048779 9146337 27439011 33536569 100609707 301829121