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10143340400 = 2452231102537
BaseRepresentation
bin10010111001001011…
…10001011101110000
3222011220111002012002
421130211301131300
5131233143343100
64354302553132
7506234653664
oct113445613560
928156432162
1010143340400
114335718856
121b70b987a8
13c585c708b
146c31d68a4
153e57742d5
hex25c971770

10143340400 has 60 divisors (see below), whose sum is σ = 25428936432. Its totient is φ = 3880926720.

The previous prime is 10143340381. The next prime is 10143340439. The reversal of 10143340400 is 404334101.

It is a happy number.

10143340400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 11 ways as a sum of consecutive naturals, for example, 542069 + ... + 560468.

Almost surely, 210143340400 is an apocalyptic number.

10143340400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10143340400 is an abundant number, since it is smaller than the sum of its proper divisors (15285596032).

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

10143340400 is a wasteful number, since it uses less digits than its factorization.

10143340400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1102578 (or 1102567 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 10143340400 its reverse (404334101), we get a palindrome (10547674501).

The spelling of 10143340400 in words is "ten billion, one hundred forty-three million, three hundred forty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 115 184 200 230 368 400 460 575 920 1150 1840 2300 4600 9200 1102537 2205074 4410148 5512685 8820296 11025370 17640592 22050740 25358351 27563425 44101480 50716702 55126850 88202960 101433404 110253700 126791755 202866808 220507400 253583510 405733616 441014800 507167020 633958775 1014334040 1267917550 2028668080 2535835100 5071670200 10143340400