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10400216871 = 3111753349787
BaseRepresentation
bin10011010111110011…
…01011011100100111
3222211210211202110110
421223321223130213
5132244423414441
64440000424103
7515504245662
oct115371533447
928753752413
1010400216871
114457718960
122023018033
13c998a66a5
147093826d9
1540d0b5b16
hex26be6b727

10400216871 has 32 divisors (see below), whose sum is σ = 16319708928. Its totient is φ = 5820439040.

The previous prime is 10400216867. The next prime is 10400216881. The reversal of 10400216871 is 17861200401.

It is a cyclic number.

It is not a de Polignac number, because 10400216871 - 22 = 10400216867 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10400216851) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 145161 + ... + 204626.

It is an arithmetic number, because the mean of its divisors is an integer number (509990904).

Almost surely, 210400216871 is an apocalyptic number.

10400216871 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10400216871 is a deficient number, since it is larger than the sum of its proper divisors (5919492057).

10400216871 is a wasteful number, since it uses less digits than its factorization.

10400216871 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349871.

The product of its (nonzero) digits is 2688, while the sum is 30.

The spelling of 10400216871 in words is "ten billion, four hundred million, two hundred sixteen thousand, eight hundred seventy-one".

Divisors: 1 3 11 17 33 51 53 159 187 561 583 901 1749 2703 9911 29733 349787 1049361 3847657 5946379 11542971 17839137 18538711 55616133 65410169 196230507 203925821 315158087 611777463 945474261 3466738957 10400216871