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10023323130 = 234522954037
BaseRepresentation
bin10010101010110111…
…11100010111111010
3221212112122120110000
421111123330113322
5131011432320010
64334334333430
7503246561262
oct112533742772
927775576400
1010023323130
1142839a5027
121b3895a276
13c39795342
146b12b47a2
153d9e687c0
hex2556fc5fa

10023323130 has 80 divisors (see below), whose sum is σ = 27069795720. Its totient is φ = 2661164928.

The previous prime is 10023323117. The next prime is 10023323143. The reversal of 10023323130 is 3132332001.

It is an interprime number because it is at equal distance from previous prime (10023323117) and next prime (10023323143).

It can be written as a sum of positive squares in 4 ways, for example, as 9963832761 + 59490369 = 99819^2 + 7713^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 158472 + ... + 212508.

Almost surely, 210023323130 is an apocalyptic number.

10023323130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10023323130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13534897860).

10023323130 is an abundant number, since it is smaller than the sum of its proper divisors (17046472590).

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

10023323130 is a wasteful number, since it uses less digits than its factorization.

10023323130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54285 (or 54276 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 10023323130 its reverse (3132332001), we get a palindrome (13155655131).

The spelling of 10023323130 in words is "ten billion, twenty-three million, three hundred twenty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 229 270 405 458 687 810 1145 1374 2061 2290 3435 4122 6183 6870 10305 12366 18549 20610 30915 37098 54037 61830 92745 108074 162111 185490 270185 324222 486333 540370 810555 972666 1458999 1621110 2431665 2917998 4376997 4863330 7294995 8753994 12374473 14589990 21884985 24748946 37123419 43769970 61872365 74246838 111370257 123744730 185617095 222740514 334110771 371234190 556851285 668221542 1002332313 1113702570 1670553855 2004664626 3341107710 5011661565 10023323130