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34211442111 = 3711214819091
BaseRepresentation
bin11111110111001010…
…010010110110111111
310021022020212022212120
4133313022102312333
51030031112121421
623414433534023
72320535313510
oct376712226677
9107266768776
1034211442111
1113566515900
126769414313
1332c2a48b92
1419278bca07
15d537188c6
hex7f7292dbf

34211442111 has 48 divisors (see below), whose sum is σ = 57346808064. Its totient is φ = 17758224000.

The previous prime is 34211442079. The next prime is 34211442121. The reversal of 34211442111 is 11124411243.

It is a happy number.

It is not a de Polignac number, because 34211442111 - 25 = 34211442079 is a prime.

It is a super-4 number, since 4×342114421114 (a number of 43 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34211442121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3758676 + ... + 3767766.

It is an arithmetic number, because the mean of its divisors is an integer number (1194725168).

Almost surely, 234211442111 is an apocalyptic number.

34211442111 is a deficient number, since it is larger than the sum of its proper divisors (23135365953).

34211442111 is a wasteful number, since it uses less digits than its factorization.

34211442111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10604 (or 10593 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

Adding to 34211442111 its reverse (11124411243), we get a palindrome (45335853354).

The spelling of 34211442111 in words is "thirty-four billion, two hundred eleven million, four hundred forty-two thousand, one hundred eleven".

Divisors: 1 3 7 11 21 33 77 121 231 363 847 1481 2541 4443 9091 10367 16291 27273 31101 48873 63637 100001 114037 179201 190911 300003 342111 537603 700007 1100011 1254407 2100021 3300033 3763221 7700077 13463771 23100231 40391313 94246397 148101481 282739191 444304443 1036710367 1629116291 3110131101 4887348873 11403814037 34211442111