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31041301122 = 23213225394019
BaseRepresentation
bin11100111010001101…
…001010101010000010
32222010022200110222100
4130322031022222002
51002033033113442
622132110451230
72146142464116
oct347215125202
988108613870
1031041301122
111218a006a77
126023803b16
132c09033100
141706867746
15c1a26784c
hex73a34aa82

31041301122 has 72 divisors (see below), whose sum is σ = 72874479600. Its totient is φ = 9545032224.

The previous prime is 31041301121. The next prime is 31041301141. The reversal of 31041301122 is 22110314013.

31041301122 is a `hidden beast` number, since 310 + 41 + 301 + 12 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 31041301095 and 31041301104.

It is not an unprimeable number, because it can be changed into a prime (31041301121) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7721629 + ... + 7725647.

It is an arithmetic number, because the mean of its divisors is an integer number (1012145550).

Almost surely, 231041301122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31041301122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36437239800).

31041301122 is an abundant number, since it is smaller than the sum of its proper divisors (41833178478).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31041301122 is a wasteful number, since it uses less digits than its factorization.

31041301122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6592 (or 6576 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 31041301122 its reverse (22110314013), we get a palindrome (53151615135).

The spelling of 31041301122 in words is "thirty-one billion, forty-one million, three hundred one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 169 234 338 507 1014 1521 2539 3042 4019 5078 7617 8038 12057 15234 22851 24114 33007 36171 45702 52247 66014 72342 99021 104494 156741 198042 297063 313482 429091 470223 594126 679211 858182 940446 1287273 1358422 2037633 2574546 3861819 4075266 6112899 7723638 10204241 12225798 20408482 30612723 61225446 91838169 132655133 183676338 265310266 397965399 795930798 1193896197 1724516729 2387792394 3449033458 5173550187 10347100374 15520650561 31041301122