Search a number
-
+
10020210093 = 323730090721
BaseRepresentation
bin10010101010100000…
…00100010110101101
3221212022210102011100
421111100010112231
5131010133210333
64334143513313
7503211244335
oct112520042655
927768712140
1010020210093
114282169173
121b378b8839
13c38c453ca
146b0b040c5
153d9a51213
hex2554045ad

10020210093 has 12 divisors (see below), whose sum is σ = 14864816668. Its totient is φ = 6499595520.

The previous prime is 10020210041. The next prime is 10020210121. The reversal of 10020210093 is 39001202001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 5934699369 + 4085510724 = 77037^2 + 63918^2 .

It is a de Polignac number, because none of the positive numbers 2k-10020210093 is a prime.

It is a super-2 number, since 2×100202100932 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10020212093) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15045028 + ... + 15045693.

Almost surely, 210020210093 is an apocalyptic number.

It is an amenable number.

10020210093 is a deficient number, since it is larger than the sum of its proper divisors (4844606575).

10020210093 is a wasteful number, since it uses less digits than its factorization.

10020210093 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30090764 (or 30090761 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10020210093 its product of nonzero digits (108), we get a square (10020210201 = 1001012).

Adding to 10020210093 its reverse (39001202001), we get a palindrome (49021412094).

The spelling of 10020210093 in words is "ten billion, twenty million, two hundred ten thousand, ninety-three".

Divisors: 1 3 9 37 111 333 30090721 90272163 270816489 1113356677 3340070031 10020210093