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21152336124200 = 2352159361663661
BaseRepresentation
bin1001100111100111010010…
…11110110001100100101000
32202220010212200011211221212
410303303221132301210220
510233024441021433300
6112553125444252252
74312130415326621
oct463635136614450
982803780154855
1021152336124200
116815723335836
12245756a6a1088
13ba586cb11528
14531ac8408a48
1526a34a336935
hex133ce97b1928

21152336124200 has 48 divisors (see below), whose sum is σ = 49179564194460. Its totient is φ = 8460868608000.

The previous prime is 21152336124197. The next prime is 21152336124203. The reversal of 21152336124200 is 242163325112.

It is an interprime number because it is at equal distance from previous prime (21152336124197) and next prime (21152336124203).

It can be written as a sum of positive squares in 6 ways, for example, as 3189946025764 + 17962390098436 = 1786042^2 + 4238206^2 .

It is a super-2 number, since 2×211523361242002 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21152336124203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31540370 + ... + 32204030.

Almost surely, 221152336124200 is an apocalyptic number.

21152336124200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21152336124200 is an abundant number, since it is smaller than the sum of its proper divisors (28027228070260).

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

21152336124200 is a wasteful number, since it uses less digits than its factorization.

21152336124200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823038 (or 823029 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

Adding to 21152336124200 its reverse (242163325112), we get a palindrome (21394499449312).

The spelling of 21152336124200 in words is "twenty-one trillion, one hundred fifty-two billion, three hundred thirty-six million, one hundred twenty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 159361 318722 637444 663661 796805 1274888 1327322 1593610 2654644 3187220 3318305 3984025 5309288 6374440 6636610 7968050 13273220 15936100 16591525 26546440 31872200 33183050 66366100 132732200 105761680621 211523361242 423046722484 528808403105 846093444968 1057616806210 2115233612420 2644042015525 4230467224840 5288084031050 10576168062100 21152336124200