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10123342440 = 233584361187
BaseRepresentation
bin10010110110110010…
…11111001001101000
3222010111212002010220
421123121133021220
5131213033424230
64352310210040
7505602663621
oct113331371150
928114762126
1010123342440
1143253aa012
121b66353920
13c54414873
146c06aca48
153e3b23d10
hex25b65f268

10123342440 has 32 divisors (see below), whose sum is σ = 30370027680. Its totient is φ = 2699557952.

The previous prime is 10123342403. The next prime is 10123342441. The reversal of 10123342440 is 4424332101.

It is a super-3 number, since 3×101233424403 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10123342440.

It is not an unprimeable number, because it can be changed into a prime (10123342441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42180474 + ... + 42180713.

It is an arithmetic number, because the mean of its divisors is an integer number (949063365).

Almost surely, 210123342440 is an apocalyptic number.

10123342440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10123342440 is an abundant number, since it is smaller than the sum of its proper divisors (20246685240).

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

10123342440 is a wasteful number, since it uses less digits than its factorization.

10123342440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84361201 (or 84361197 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 10123342440 its reverse (4424332101), we get a palindrome (14547674541).

The spelling of 10123342440 in words is "ten billion, one hundred twenty-three million, three hundred forty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 84361187 168722374 253083561 337444748 421805935 506167122 674889496 843611870 1012334244 1265417805 1687223740 2024668488 2530835610 3374447480 5061671220 10123342440