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34101220031 = 2947239104683
BaseRepresentation
bin11111110000100101…
…110101001010111111
310021000120110110121022
4133300211311022333
51024314403020111
623355455254355
72315026405364
oct376045651277
9107016413538
1034101220031
111350a28237a
12673851a3bb
1332a5c66708
141916dca46b
15d48be52db
hex7f09752bf

34101220031 has 16 divisors (see below), whose sum is σ = 36178790400. Its totient is φ = 32089639008.

The previous prime is 34101219991. The next prime is 34101220033. The reversal of 34101220031 is 13002210143.

It is not a de Polignac number, because 34101220031 - 210 = 34101219007 is a prime.

It is a super-2 number, since 2×341012200312 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34101219991 and 34101220009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34101220033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 273416 + ... + 378098.

It is an arithmetic number, because the mean of its divisors is an integer number (2261174400).

Almost surely, 234101220031 is an apocalyptic number.

34101220031 is a deficient number, since it is larger than the sum of its proper divisors (2077570369).

34101220031 is a wasteful number, since it uses less digits than its factorization.

34101220031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104998.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 34101220031 its reverse (13002210143), we get a palindrome (47103430174).

The spelling of 34101220031 in words is "thirty-four billion, one hundred one million, two hundred twenty thousand, thirty-one".

Divisors: 1 29 47 239 1363 6931 11233 104683 325757 3035807 4920101 25019237 142682929 725557873 1175904139 34101220031