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31022122121 = 1729377323297
BaseRepresentation
bin11100111001000100…
…000000010010001001
32222001222121002022222
4130321010000102021
51002013130401441
622130143423425
72145520454504
oct347104002211
988058532288
1031022122121
111217a1a7561
1260192b4b75
132c050795a3
1417040b413b
15c18729d4b
hex739100489

31022122121 has 32 divisors (see below), whose sum is σ = 35377547040. Its totient is φ = 27051687936.

The previous prime is 31022122099. The next prime is 31022122123. The reversal of 31022122121 is 12122122013.

It can be written as a sum of positive squares in 16 ways, for example, as 1238265721 + 29783856400 = 35189^2 + 172580^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-31022122121 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 31022122121.

It is not an unprimeable number, because it can be changed into a prime (31022122123) 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, 1319945 + ... + 1343241.

It is an arithmetic number, because the mean of its divisors is an integer number (1105548345).

Almost surely, 231022122121 is an apocalyptic number.

It is an amenable number.

31022122121 is a deficient number, since it is larger than the sum of its proper divisors (4355424919).

31022122121 is a wasteful number, since it uses less digits than its factorization.

31022122121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23453.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 31022122121 its reverse (12122122013), we get a palindrome (43144244134).

The spelling of 31022122121 in words is "thirty-one billion, twenty-two million, one hundred twenty-two thousand, one hundred twenty-one".

Divisors: 1 17 29 37 73 493 629 1073 1241 2117 2701 18241 23297 35989 45917 78329 396049 675613 861989 1331593 1700681 11485421 14653813 24997681 28911577 49319749 62925197 424960577 838435733 1069728349 1824830713 31022122121