Search a number
-
+
10022030106 = 2311976072579
BaseRepresentation
bin10010101010101110…
…00000101100011010
3221212110012212202020
421111113000230122
5131011114430411
64334250515310
7503232564444
oct112527005432
927773185666
1010022030106
1142831a1610
121b38435b36
13c3943193a
146b1059494
153d9cb0606
hex2555c0b1a

10022030106 has 64 divisors (see below), whose sum is σ = 22136647680. Its totient is φ = 2999554560.

The previous prime is 10022030087. The next prime is 10022030153. The reversal of 10022030106 is 60103022001.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3884725 + ... + 3887303.

It is an arithmetic number, because the mean of its divisors is an integer number (345885120).

Almost surely, 210022030106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10022030106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11068323840).

10022030106 is an abundant number, since it is smaller than the sum of its proper divisors (12114617574).

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

10022030106 is a wasteful number, since it uses less digits than its factorization.

10022030106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3299.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10022030106 its reverse (60103022001), we get a palindrome (70125052107).

The spelling of 10022030106 in words is "ten billion, twenty-two million, thirty thousand, one hundred six".

Divisors: 1 2 3 6 11 22 33 66 97 194 291 582 607 1067 1214 1821 2134 2579 3201 3642 5158 6402 6677 7737 13354 15474 20031 28369 40062 56738 58879 85107 117758 170214 176637 250163 353274 500326 647669 750489 1295338 1500978 1565453 1943007 2751793 3130906 3886014 4696359 5503586 8255379 9392718 16510758 17219983 34439966 51659949 103319898 151848941 303697882 455546823 911093646 1670338351 3340676702 5011015053 10022030106