Search a number
-
+
31211643372 = 223713101282991
BaseRepresentation
bin11101000100010110…
…111110000111101100
32222120012012202121120
4131010112332013230
51002410140041442
622201033500540
72153311406550
oct350426760754
988505182546
1031211643372
1112267182698
126070871750
132c35405140
141721329860
15c2a1b44ec
hex7445be1ec

31211643372 has 96 divisors (see below), whose sum is σ = 90521217024. Its totient is φ = 8150112000.

The previous prime is 31211643301. The next prime is 31211643377. The reversal of 31211643372 is 27334611213.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (31211643377) 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 31 ways as a sum of consecutive naturals, for example, 31204 + ... + 251787.

It is an arithmetic number, because the mean of its divisors is an integer number (942929344).

Almost surely, 231211643372 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 31211643372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45260608512).

31211643372 is an abundant number, since it is smaller than the sum of its proper divisors (59309573652).

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

31211643372 is a wasteful number, since it uses less digits than its factorization.

31211643372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283119 (or 283117 counting only the distinct ones).

The product of its digits is 18144, while the sum is 33.

The spelling of 31211643372 in words is "thirty-one billion, two hundred eleven million, six hundred forty-three thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 101 156 182 202 273 303 364 404 546 606 707 1092 1212 1313 1414 2121 2626 2828 3939 4242 5252 7878 8484 9191 15756 18382 27573 36764 55146 110292 282991 565982 848973 1131964 1697946 1980937 3395892 3678883 3961874 5942811 7357766 7923748 11036649 11885622 14715532 22073298 23771244 25752181 28582091 44146596 51504362 57164182 77256543 85746273 103008724 114328364 154513086 171492546 200074637 309026172 342985092 371567183 400149274 600223911 743134366 800298548 1114701549 1200447822 1486268732 2229403098 2400895644 2600970281 4458806196 5201940562 7802910843 10403881124 15605821686 31211643372