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10023140320 = 255617101531
BaseRepresentation
bin10010101010110110…
…01111101111100000
3221212112022021200021
421111123033233200
5131011410442240
64334330403224
7503245200304
oct112533175740
927775267607
1010023140320
11428388a746
121b38890514
13c3973007b
146b1267d04
153d9e2e54a
hex2556cfbe0

10023140320 has 48 divisors (see below), whose sum is σ = 23718281328. Its totient is φ = 4002718720.

The previous prime is 10023140293. The next prime is 10023140321. The reversal of 10023140320 is 2304132001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 10023140294 and 10023140303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10023140321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47955 + ... + 149485.

It is an arithmetic number, because the mean of its divisors is an integer number (494130861).

Almost surely, 210023140320 is an apocalyptic number.

10023140320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10023140320 is an abundant number, since it is smaller than the sum of its proper divisors (13695141008).

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

10023140320 is a wasteful number, since it uses less digits than its factorization.

10023140320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102163 (or 102155 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 10023140320 its reverse (2304132001), we get a palindrome (12327272321).

The spelling of 10023140320 in words is "ten billion, twenty-three million, one hundred forty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 617 1234 2468 3085 4936 6170 9872 12340 19744 24680 49360 98720 101531 203062 406124 507655 812248 1015310 1624496 2030620 3248992 4061240 8122480 16244960 62644627 125289254 250578508 313223135 501157016 626446270 1002314032 1252892540 2004628064 2505785080 5011570160 10023140320