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10400441020 = 2252512071801
BaseRepresentation
bin10011010111110101…
…00010001010111100
3222211211021010221021
421223322202022330
5132300003103040
64440005313524
7515506201324
oct115372421274
928754233837
1010400441020
114457861302
1220231058a4
13c99954718
14709400284
1540d10c24a
hex26bea22bc

10400441020 has 24 divisors (see below), whose sum is σ = 21927952368. Its totient is φ = 4143600000.

The previous prime is 10400440987. The next prime is 10400441053. The reversal of 10400441020 is 2014400401.

It is an interprime number because it is at equal distance from previous prime (10400440987) and next prime (10400441053).

It is a junction number, because it is equal to n+sod(n) for n = 10400440985 and 10400441003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1030881 + ... + 1040920.

It is an arithmetic number, because the mean of its divisors is an integer number (913664682).

Almost surely, 210400441020 is an apocalyptic number.

10400441020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10400441020 is an abundant number, since it is smaller than the sum of its proper divisors (11527511348).

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

10400441020 is a wasteful number, since it uses less digits than its factorization.

10400441020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2072061 (or 2072059 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 10400441020 its reverse (2014400401), we get a palindrome (12414841421).

The spelling of 10400441020 in words is "ten billion, four hundred million, four hundred forty-one thousand, twenty".

Divisors: 1 2 4 5 10 20 251 502 1004 1255 2510 5020 2071801 4143602 8287204 10359005 20718010 41436020 520022051 1040044102 2080088204 2600110255 5200220510 10400441020