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34121033121 = 3729251223219
BaseRepresentation
bin11111110001110001…
…011010010110100001
310021001221202002001110
4133301301122112201
51024334441024441
623401444053533
72315356665450
oct376161322641
9107057662043
1034121033121
111351a48522a
1267430942a9
1332aa0b2a36
1419198a6b97
15d4a80ab16
hex7f1c5a5a1

34121033121 has 32 divisors (see below), whose sum is σ = 54001382400. Its totient is φ = 18750312000.

The previous prime is 34121033113. The next prime is 34121033129. The reversal of 34121033121 is 12133012143.

It is an interprime number because it is at equal distance from previous prime (34121033113) and next prime (34121033129).

It is not a de Polignac number, because 34121033121 - 23 = 34121033113 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (34121033129) 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, 41250 + ... + 264468.

It is an arithmetic number, because the mean of its divisors is an integer number (1687543200).

Almost surely, 234121033121 is an apocalyptic number.

It is an amenable number.

34121033121 is a deficient number, since it is larger than the sum of its proper divisors (19880349279).

34121033121 is a wasteful number, since it uses less digits than its factorization.

34121033121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223509.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 34121033121 its reverse (12133012143), we get a palindrome (46254045264).

The spelling of 34121033121 in words is "thirty-four billion, one hundred twenty-one million, thirty-three thousand, one hundred twenty-one".

Divisors: 1 3 7 21 29 87 203 251 609 753 1757 5271 7279 21837 50953 152859 223219 669657 1562533 4687599 6473351 19420053 45313457 56027969 135940371 168083907 392195783 1176587349 1624811101 4874433303 11373677707 34121033121