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10023030240 = 253571294103
BaseRepresentation
bin10010101010110101…
…10100110111100000
3221212112002200200020
421111122310313200
5131011343431430
64334324153440
7503244231336
oct112532646740
927775080606
1010023030240
114283814a73
121b38838880
13c396c1c32
146b1239b56
153d9e0bb10
hex2556b4de0

10023030240 has 96 divisors (see below), whose sum is σ = 32017337856. Its totient is φ = 2635153920.

The previous prime is 10023030179. The next prime is 10023030301. The reversal of 10023030240 is 4203032001.

10023030240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10023030179) and next prime (10023030301).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×100230302402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 112972 + ... + 181131.

It is an arithmetic number, because the mean of its divisors is an integer number (333513936).

Almost surely, 210023030240 is an apocalyptic number.

10023030240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10023030240 is an abundant number, since it is smaller than the sum of its proper divisors (21994307616).

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

10023030240 is a wasteful number, since it uses less digits than its factorization.

10023030240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294192 (or 294184 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 10023030240 its reverse (4203032001), we get a palindrome (14226062241).

The spelling of 10023030240 in words is "ten billion, twenty-three million, thirty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 71 80 96 120 142 160 213 240 284 355 426 480 568 710 852 1065 1136 1420 1704 2130 2272 2840 3408 4260 5680 6816 8520 11360 17040 34080 294103 588206 882309 1176412 1470515 1764618 2352824 2941030 3529236 4411545 4705648 5882060 7058472 8823090 9411296 11764120 14116944 17646180 20881313 23528240 28233888 35292360 41762626 47056480 62643939 70584720 83525252 104406565 125287878 141169440 167050504 208813130 250575756 313219695 334101008 417626260 501151512 626439390 668202016 835252520 1002303024 1252878780 1670505040 2004606048 2505757560 3341010080 5011515120 10023030240