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211122033031 = 72132197118899
BaseRepresentation
bin1100010010011111011…
…0101001000110000111
3202011221110100111120201
43010213312221012013
511424334220024111
6240553233511331
721152541446200
oct3044766510607
9664843314521
10211122033031
118159997a238
1234b00412547
1316ba7602c00
14a30b27a5a7
155759abb6c1
hex3127da9187

211122033031 has 72 divisors (see below), whose sum is σ = 283890096000. Its totient is φ = 156012816960.

The previous prime is 211122033013. The next prime is 211122033047. The reversal of 211122033031 is 130330221112.

211122033031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 211122033031 - 27 = 211122032903 is a prime.

It is a super-2 number, since 2×2111220330312 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211122033631) 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 71 ways as a sum of consecutive naturals, for example, 11161620 + ... + 11180518.

It is an arithmetic number, because the mean of its divisors is an integer number (3942918000).

Almost surely, 2211122033031 is an apocalyptic number.

211122033031 is a deficient number, since it is larger than the sum of its proper divisors (72768062969).

211122033031 is a wasteful number, since it uses less digits than its factorization.

211122033031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19029 (or 19009 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 211122033031 its reverse (130330221112), we get a palindrome (341452254143).

The spelling of 211122033031 in words is "two hundred eleven billion, one hundred twenty-two million, thirty-three thousand, thirty-one".

Divisors: 1 7 13 19 49 71 91 133 169 247 497 637 923 931 1183 1349 1729 3211 3479 6461 8281 9443 11999 12103 17537 18899 22477 45227 66101 83993 122759 132293 157339 227981 245687 359081 587951 859313 926051 1341829 1595867 1719809 2513567 3193931 4668053 9392803 11171069 12038663 17443777 17594969 22357517 25494751 32676371 60684689 65749621 122106439 156502619 178463257 226769101 228734597 331431763 424792823 854745073 1249242799 1587383707 2320022341 2973549761 4308612919 11111685949 16240156387 30160290433 211122033031