Search a number
-
+
211221002211010 = 25114769975838949
BaseRepresentation
bin110000000001101010111000…
…110011100100111011000010
31000200212112022210221021200021
4300001222320303210323002
5210141121103031223020
62025121331105244054
762330133224352061
oct6001527063447302
91020775283837607
10211221002211010
1161335362256440
121b83406633362a
1390b2093c0c39c
143a232186c81d8
1519645229051aa
hexc01ab8ce4ec2

211221002211010 has 64 divisors (see below), whose sum is σ = 423646558732800. Its totient is φ = 75162675582720.

The previous prime is 211221002210983. The next prime is 211221002211013. The reversal of 211221002211010 is 10112200122112.

It is a super-2 number, since 2×2112210022110102 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (211221002211013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33255016 + ... + 39093964.

It is an arithmetic number, because the mean of its divisors is an integer number (6619477480200).

Almost surely, 2211221002211010 is an apocalyptic number.

211221002211010 is an abundant number, since it is smaller than the sum of its proper divisors (212425556521790).

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

211221002211010 is a wasteful number, since it uses less digits than its factorization.

211221002211010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5846011.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 211221002211010 its reverse (10112200122112), we get a palindrome (221333202333122).

The spelling of 211221002211010 in words is "two hundred eleven trillion, two hundred twenty-one billion, two million, two hundred eleven thousand, ten".

Divisors: 1 2 5 10 11 22 47 55 94 110 235 470 517 1034 2585 5170 6997 13994 34985 69970 76967 153934 328859 384835 657718 769670 1644295 3288590 3617449 5838949 7234898 11677898 18087245 29194745 36174490 58389490 64228439 128456878 274430603 321142195 548861206 642284390 1372153015 2744306030 3018736633 6037473266 15093683165 30187366330 40855126153 81710252306 204275630765 408551261530 449406387683 898812775366 1920190929191 2247031938415 3840381858382 4494063876830 9600954645955 19201909291910 21122100221101 42244200442202 105610501105505 211221002211010