Search a number
-
+
21001202201312 = 25192692557857
BaseRepresentation
bin1001100011001101110010…
…01100100111001011100000
32202100200202220001002022022
410301212321030213023200
510223040430230420222
6112355452532001012
74265200240225004
oct461467114471340
982320686032268
1021001202201312
116767618162633
122432210160168
13b945356649a8
1452866c208704
15266451e20042
hex1319b93272e0

21001202201312 has 144 divisors (see below), whose sum is σ = 43814116185840. Its totient is φ = 9881619296256.

The previous prime is 21001202201311. The next prime is 21001202201321. The reversal of 21001202201312 is 21310220210012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21001202201311) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24505486388 + ... + 24505487244.

It is an arithmetic number, because the mean of its divisors is an integer number (304264695735).

Almost surely, 221001202201312 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 21001202201312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21907058092920).

21001202201312 is an abundant number, since it is smaller than the sum of its proper divisors (22812913984528).

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

21001202201312 is an equidigital number, since it uses as much as digits as its factorization.

21001202201312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1981 (or 1704 counting only the distinct ones).

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

Adding to 21001202201312 its reverse (21310220210012), we get a palindrome (42311422411324).

The spelling of 21001202201312 in words is "twenty-one trillion, one billion, two hundred two million, two hundred one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 19 32 38 76 152 269 304 538 557 608 857 1076 1114 1714 2152 2228 3428 4304 4456 5111 6856 8608 8912 10222 10583 13712 16283 17824 20444 21166 27424 32566 40888 42332 65132 72361 81776 84664 130264 144722 149833 163552 169328 230533 260528 289444 299666 338656 461066 477349 521056 578888 599332 922132 954698 1157776 1198664 1374859 1844264 1909396 2315552 2397328 2749718 2846827 3688528 3818792 4380127 4794656 5499436 5693654 7377056 7637584 8760254 9069631 10998872 11387308 15275168 17520508 18139262 21997744 22774616 35041016 36278524 40305077 43995488 45549232 62013377 70082032 72557048 80610154 91098464 124026754 128406881 140164064 145114096 161220308 248053508 256813762 290228192 322440616 496107016 513627524 644881232 765796463 992214032 1027255048 1178254163 1289762464 1531592926 1984428064 2054510096 2356508326 2439730739 3063185852 4109020192 4713016652 4879461478 6126371704 9426033304 9758922956 12252743408 18852066608 19517845912 24505486816 34541450989 37704133216 39035691824 69082901978 78071383648 138165803956 276331607912 552663215824 656287568791 1105326431648 1312575137582 2625150275164 5250300550328 10500601100656 21001202201312