Search a number
-
+
21334210304202 = 232173731329714057
BaseRepresentation
bin1001101100111010000100…
…00001101101100011001010
32210112112022210112110211200
410312131002001231203022
510244014430314213302
6113212444555205030
74331226422340435
oct466350201554312
983475283473750
1021334210304202
116885873598104
122486867a46776
13bb9a65b19113
1453a81d0aa81c
1526ee4234c81c
hex13674206d8ca

21334210304202 has 96 divisors (see below), whose sum is σ = 49081585327632. Its totient is φ = 6674164826112.

The previous prime is 21334210304201. The next prime is 21334210304221. The reversal of 21334210304202 is 20240301243312.

21334210304202 is a `hidden beast` number, since 2 + 1 + 3 + 3 + 421 + 0 + 30 + 4 + 202 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1741821887961 + 19592388416241 = 1319781^2 + 4426329^2 .

It is a super-3 number, since 3×213342103042023 (a number of 41 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (21334210304201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1517685958 + ... + 1517700014.

Almost surely, 221334210304202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21334210304202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24540792663816).

21334210304202 is an abundant number, since it is smaller than the sum of its proper divisors (27747375023430).

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

21334210304202 is a wasteful number, since it uses less digits than its factorization.

21334210304202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27752 (or 27749 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 21334210304202 its reverse (20240301243312), we get a palindrome (41574511547514).

The spelling of 21334210304202 in words is "twenty-one trillion, three hundred thirty-four billion, two hundred ten million, three hundred four thousand, two hundred two".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 373 746 1119 2238 3357 6341 6714 12682 13297 14057 19023 26594 28114 38046 39891 42171 57069 79782 84342 114138 119673 126513 226049 238969 239346 253026 452098 477938 678147 716907 1356294 1433814 2034441 2150721 4068882 4301442 4959781 5243261 9919562 10486522 14879343 15729783 29758686 31459566 44638029 47189349 84316277 89135437 89276058 94378698 168632554 178270874 186915929 252948831 267406311 373831858 505897662 534812622 560747787 758846493 802218933 1121495574 1517692986 1604437866 1682243361 3177570793 3364486722 6355141586 9532712379 19065424758 28598137137 57196274274 69719641517 139439283034 209158924551 418317849102 627476773653 1185233905789 1254953547306 2370467811578 3555701717367 7111403434734 10667105152101 21334210304202