Search a number
-
+
10002218076 = 2232318962561
BaseRepresentation
bin10010101000010110…
…11011110001011100
3221211001221022202100
421110023123301130
5130441031434301
64332302125100
7502602310434
oct112413336134
927731838670
1010002218076
114272a9a534
121b31880790
13c352b5c46
146ac57d2c4
153d819a286
hex2542dbc5c

10002218076 has 36 divisors (see below), whose sum is σ = 26098980544. Its totient is φ = 3226521600.

The previous prime is 10002217999. The next prime is 10002218077. The reversal of 10002218076 is 67081220001.

10002218076 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×100022180762 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002218077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4480165 + ... + 4482396.

Almost surely, 210002218076 is an apocalyptic number.

It is an amenable number.

10002218076 is an abundant number, since it is smaller than the sum of its proper divisors (16096762468).

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

10002218076 is a wasteful number, since it uses less digits than its factorization.

10002218076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8962602 (or 8962597 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

Adding to 10002218076 its reverse (67081220001), we get a palindrome (77083438077).

The spelling of 10002218076 in words is "ten billion, two million, two hundred eighteen thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 558 1116 8962561 17925122 26887683 35850244 53775366 80663049 107550732 161326098 277839391 322652196 555678782 833518173 1111357564 1667036346 2500554519 3334072692 5001109038 10002218076