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10043120400 = 2435271117877
BaseRepresentation
bin10010101101001110…
…11101101100010000
3221220220220101012020
421112213131230100
5131032014323100
64340322531440
7503610054255
oct112647355420
927826811166
1010043120400
114294097005
121b43506b80
13c409073c1
146b3b8942c
153dba795a0
hex2569ddb10

10043120400 has 120 divisors (see below), whose sum is σ = 32624858304. Its totient is φ = 2640422400.

The previous prime is 10043120389. The next prime is 10043120497. The reversal of 10043120400 is 402134001.

10043120400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10043120400.

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, 26262 + ... + 144138.

Almost surely, 210043120400 is an apocalyptic number.

10043120400 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 10043120400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16312429152).

10043120400 is an abundant number, since it is smaller than the sum of its proper divisors (22581737904).

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

10043120400 is a wasteful number, since it uses less digits than its factorization.

10043120400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117969 (or 117958 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 10043120400 its reverse (402134001), we get a palindrome (10445254401).

The spelling of 10043120400 in words is "ten billion, forty-three million, one hundred twenty thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 71 75 80 100 120 142 150 200 213 240 284 300 355 400 426 568 600 710 852 1065 1136 1200 1420 1704 1775 2130 2840 3408 3550 4260 5325 5680 7100 8520 10650 14200 17040 21300 28400 42600 85200 117877 235754 353631 471508 589385 707262 943016 1178770 1414524 1768155 1886032 2357540 2829048 2946925 3536310 4715080 5658096 5893850 7072620 8369267 8840775 9430160 11787700 14145240 16738534 17681550 23575400 25107801 28290480 33477068 35363100 41846335 47150800 50215602 66954136 70726200 83692670 100431204 125539005 133908272 141452400 167385340 200862408 209231675 251078010 334770680 401724816 418463350 502156020 627695025 669541360 836926700 1004312040 1255390050 1673853400 2008624080 2510780100 3347706800 5021560200 10043120400