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31210101216 = 2532733146771
BaseRepresentation
bin11101000100010001…
…000101100111100000
32222120002022102011200
4131010101011213200
51002404241214331
622200540441200
72153262324510
oct350421054740
988502272150
1031210101216
1112266319a88
126070249200
132c34cb5218
141721047840
15c29eac5e6
hex7444459e0

31210101216 has 144 divisors (see below), whose sum is σ = 101741447808. Its totient is φ = 8890041600.

The previous prime is 31210101199. The next prime is 31210101239. The reversal of 31210101216 is 61210101213.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 643911 + ... + 690681.

It is an arithmetic number, because the mean of its divisors is an integer number (706537832).

Almost surely, 231210101216 is an apocalyptic number.

31210101216 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31210101216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50870723904).

31210101216 is an abundant number, since it is smaller than the sum of its proper divisors (70531346592).

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

31210101216 is a wasteful number, since it uses less digits than its factorization.

31210101216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47125 (or 47114 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 31210101216 its reverse (61210101213), we get a palindrome (92420202429).

The spelling of 31210101216 in words is "thirty-one billion, two hundred ten million, one hundred one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 331 336 504 662 672 993 1008 1324 1986 2016 2317 2648 2979 3972 4634 5296 5958 6951 7944 9268 10592 11916 13902 15888 18536 20853 23832 27804 31776 37072 41706 46771 47664 55608 74144 83412 93542 95328 111216 140313 166824 187084 222432 280626 327397 333648 374168 420939 561252 654794 667296 748336 841878 982191 1122504 1309588 1496672 1683756 1964382 2245008 2619176 2946573 3367512 3928764 4490016 5238352 5893146 6735024 7857528 10476704 11786292 13470048 15481201 15715056 23572584 30962402 31430112 46443603 47145168 61924804 92887206 94290336 108368407 123849608 139330809 185774412 216736814 247699216 278661618 325105221 371548824 433473628 495398432 557323236 650210442 743097648 866947256 975315663 1114646472 1300420884 1486195296 1733894512 1950631326 2229292944 2600841768 3467789024 3901262652 4458585888 5201683536 7802525304 10403367072 15605050608 31210101216