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10403311140 = 22365713533
BaseRepresentation
bin10011011000001010…
…11110111000100100
3222212000122222000000
421230011132320210
5132301221424030
64440151021300
7515542454115
oct115405367044
928760588000
1010403311140
114459441702
12202406a830
13c9a41ac11
1470994a20c
1540d4c7860
hex26c15ee24

10403311140 has 84 divisors (see below), whose sum is σ = 32755491804. Its totient is φ = 2774212416.

The previous prime is 10403311123. The next prime is 10403311169. The reversal of 10403311140 is 4111330401.

It can be written as a sum of positive squares in 2 ways, for example, as 5073143076 + 5330168064 = 71226^2 + 73008^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 342187 + ... + 371346.

It is an arithmetic number, because the mean of its divisors is an integer number (389946331).

Almost surely, 210403311140 is an apocalyptic number.

10403311140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10403311140 is an abundant number, since it is smaller than the sum of its proper divisors (22352180664).

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

10403311140 is an equidigital number, since it uses as much as digits as its factorization.

10403311140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 713560 (or 713543 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10403311140 its reverse (4111330401), we get a palindrome (14514641541).

The spelling of 10403311140 in words is "ten billion, four hundred three million, three hundred eleven thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 729 810 972 1215 1458 1620 2430 2916 3645 4860 7290 14580 713533 1427066 2140599 2854132 3567665 4281198 6421797 7135330 8562396 10702995 12843594 14270660 19265391 21405990 25687188 32108985 38530782 42811980 57796173 64217970 77061564 96326955 115592346 128435940 173388519 192653910 231184692 288980865 346777038 385307820 520165557 577961730 693554076 866942595 1040331114 1155923460 1733885190 2080662228 2600827785 3467770380 5201655570 10403311140