Search a number
-
+
10022132330 = 2572922921559
BaseRepresentation
bin10010101010101110…
…11001101001101010
3221212110102001222022
421111113121221222
5131011131213310
64334253024442
7503233501460
oct112527315152
927773361868
1010022132330
1142832613a1
121b38485122
13c39469322
146b1084830
153d9cd0a55
hex2555d9a6a

10022132330 has 64 divisors (see below), whose sum is σ = 21422016000. Its totient is φ = 3303030528.

The previous prime is 10022132257. The next prime is 10022132399. The reversal of 10022132330 is 3323122001.

It is a junction number, because it is equal to n+sod(n) for n = 10022132299 and 10022132308.

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, 454091 + ... + 475649.

It is an arithmetic number, because the mean of its divisors is an integer number (334719000).

Almost surely, 210022132330 is an apocalyptic number.

10022132330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10022132330 is an abundant number, since it is smaller than the sum of its proper divisors (11399883670).

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

10022132330 is a wasteful number, since it uses less digits than its factorization.

10022132330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21831.

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 10022132330 its reverse (3323122001), we get a palindrome (13345254331).

The spelling of 10022132330 in words is "ten billion, twenty-two million, one hundred thirty-two thousand, three hundred thirty".

Divisors: 1 2 5 7 10 14 29 35 58 70 145 203 229 290 406 458 1015 1145 1603 2030 2290 3206 6641 8015 13282 16030 21559 33205 43118 46487 66410 92974 107795 150913 215590 232435 301826 464870 625211 754565 1250422 1509130 3126055 4376477 4937011 6252110 8752954 9874022 21882385 24685055 34559077 43764770 49370110 69118154 143173319 172795385 286346638 345590770 715866595 1002213233 1431733190 2004426466 5011066165 10022132330