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34121201331 = 373535099043
BaseRepresentation
bin11111110001110010…
…000011011010110011
310021001222001121210110
4133301302003122303
51024340011420311
623401451432403
72315361266040
oct376162033263
9107058047713
1034121201331
111351a58a648
126743155703
1332aa141479
14191990c1c7
15d4a8408a6
hex7f1c836b3

34121201331 has 32 divisors (see below), whose sum is σ = 52249720320. Its totient is φ = 19402251264.

The previous prime is 34121201267. The next prime is 34121201353. The reversal of 34121201331 is 13310212143.

It is not a de Polignac number, because 34121201331 - 26 = 34121201267 is a prime.

It is a super-2 number, since 2×341212013312 (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 34121201298 and 34121201307.

It is not an unprimeable number, because it can be changed into a prime (34121251331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3768696 + ... + 3777738.

It is an arithmetic number, because the mean of its divisors is an integer number (1632803760).

Almost surely, 234121201331 is an apocalyptic number.

34121201331 is a deficient number, since it is larger than the sum of its proper divisors (18128518989).

34121201331 is a wasteful number, since it uses less digits than its factorization.

34121201331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9915.

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

Adding to 34121201331 its reverse (13310212143), we get a palindrome (47431413474).

The spelling of 34121201331 in words is "thirty-four billion, one hundred twenty-one million, two hundred one thousand, three hundred thirty-one".

Divisors: 1 3 7 21 353 509 1059 1527 2471 3563 7413 9043 10689 27129 63301 179677 189903 539031 1257739 3192179 3773217 4602887 9576537 13808661 22345253 32220209 67035759 96660627 1624819111 4874457333 11373733777 34121201331