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10245411000 = 23325311372797
BaseRepresentation
bin10011000101010110…
…01001000010111000
3222110000112210201200
421202223021002320
5131440311123000
64412350414200
7511614361626
oct114253110270
928400483650
1010245411000
1143882a3a20
121b9b201360
13c737b4196
146d29a6516
153ee6d7500
hex262ac90b8

10245411000 has 384 divisors, whose sum is σ = 38812512960. Its totient is φ = 2415744000.

The previous prime is 10245410971. The next prime is 10245411047. The reversal of 10245411000 is 11454201.

10245411000 is a `hidden beast` number, since 1 + 0 + 24 + 541 + 100 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3661602 + ... + 3664398.

Almost surely, 210245411000 is an apocalyptic number.

10245411000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10245411000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19406256480).

10245411000 is an abundant number, since it is smaller than the sum of its proper divisors (28567101960).

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

10245411000 is a wasteful number, since it uses less digits than its factorization.

10245411000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2872 (or 2855 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 10245411000 its reverse (11454201), we get a palindrome (10256865201).

The spelling of 10245411000 in words is "ten billion, two hundred forty-five million, four hundred eleven thousand".