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10043211040 = 255173692357
BaseRepresentation
bin10010101101001111…
…10011110100100000
3221220221001222112021
421112213303310200
5131032030223130
64340324511224
7503610612442
oct112647636440
927827058467
1010043211040
114294149115
121b4354b514
13c40939735
146b3bb0492
153dba9637a
hex2569f3d20

10043211040 has 48 divisors (see below), whose sum is σ = 25122803832. Its totient is φ = 3780972544.

The previous prime is 10043211011. The next prime is 10043211053. The reversal of 10043211040 is 4011234001.

10043211040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 10015205776 + 28005264 = 100076^2 + 5292^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

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 7 ways as a sum of consecutive naturals, for example, 1843459 + ... + 1848898.

Almost surely, 210043211040 is an apocalyptic number.

10043211040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10043211040 is an abundant number, since it is smaller than the sum of its proper divisors (15079592792).

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

10043211040 is a wasteful number, since it uses less digits than its factorization.

10043211040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3692389 (or 3692381 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 10043211040 its reverse (4011234001), we get a palindrome (14054445041).

The spelling of 10043211040 in words is "ten billion, forty-three million, two hundred eleven thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 340 544 680 1360 2720 3692357 7384714 14769428 18461785 29538856 36923570 59077712 62770069 73847140 118155424 125540138 147694280 251080276 295388560 313850345 502160552 590777120 627700690 1004321104 1255401380 2008642208 2510802760 5021605520 10043211040