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31122354872 = 23723181133499
BaseRepresentation
bin11100111111000010…
…010111001010111000
32222022222012102211002
4130333002113022320
51002214310323442
622144124024132
72151145436330
oct347702271270
988288172732
1031122354872
1112220837944
126046992048
132c1ca71ccb
1417135260c0
15c22428732
hex73f0972b8

31122354872 has 64 divisors (see below), whose sum is σ = 69975360000. Its totient is φ = 12687649920.

The previous prime is 31122354871. The next prime is 31122354883. The reversal of 31122354872 is 27845322113.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31122354871) 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 15 ways as a sum of consecutive naturals, for example, 166379 + ... + 299877.

It is an arithmetic number, because the mean of its divisors is an integer number (1093365000).

Almost surely, 231122354872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31122354872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34987680000).

31122354872 is an abundant number, since it is smaller than the sum of its proper divisors (38853005128).

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

31122354872 is a wasteful number, since it uses less digits than its factorization.

31122354872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133716 (or 133712 counting only the distinct ones).

The product of its digits is 80640, while the sum is 38.

Adding to 31122354872 its reverse (27845322113), we get a palindrome (58967676985).

The spelling of 31122354872 in words is "thirty-one billion, one hundred twenty-two million, three hundred fifty-four thousand, eight hundred seventy-two".

Divisors: 1 2 4 7 8 14 23 28 46 56 92 161 181 184 322 362 644 724 1267 1288 1448 2534 4163 5068 8326 10136 16652 29141 33304 58282 116564 133499 233128 266998 533996 934493 1067992 1868986 3070477 3737972 6140954 7475944 12281908 21493339 24163319 24563816 42986678 48326638 85973356 96653276 169143233 171946712 193306552 338286466 555756337 676572932 1111512674 1353145864 2223025348 3890294359 4446050696 7780588718 15561177436 31122354872