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10214342450 = 2521361725469
BaseRepresentation
bin10011000001101001…
…00111111100110010
3222100212002100200122
421200310213330302
5131404332424300
64405320450242
7511056323024
oct114064477462
928325070618
1010214342450
114371803734
121b90919982
13c6a226a20
146cc7da014
153ebaebc85
hex260d27f32

10214342450 has 48 divisors (see below), whose sum is σ = 20494078920. Its totient is φ = 3765189120.

The previous prime is 10214342429. The next prime is 10214342497. The reversal of 10214342450 is 5424341201.

10214342450 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 100620961 + 10113721489 = 10031^2 + 100567^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

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 23 ways as a sum of consecutive naturals, for example, 388316 + ... + 413784.

Almost surely, 210214342450 is an apocalyptic number.

10214342450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10214342450 is an abundant number, since it is smaller than the sum of its proper divisors (10279736470).

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

10214342450 is a wasteful number, since it uses less digits than its factorization.

10214342450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26111 (or 26106 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

Adding to 10214342450 its reverse (5424341201), we get a palindrome (15638683651).

The spelling of 10214342450 in words is "ten billion, two hundred fourteen million, three hundred forty-two thousand, four hundred fifty".

Divisors: 1 2 5 10 13 25 26 50 65 130 325 617 650 1234 3085 6170 8021 15425 16042 25469 30850 40105 50938 80210 127345 200525 254690 331097 401050 636725 662194 1273450 1655485 3310970 8277425 15714373 16554850 31428746 78571865 157143730 204286849 392859325 408573698 785718650 1021434245 2042868490 5107171225 10214342450