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10143420320 = 255112523937
BaseRepresentation
bin10010111001001100…
…00100111110100000
3222011220122010211002
421130212010332200
5131233203422240
64354304411132
7506235435665
oct113446047640
928156563732
1010143420320
114335772900
121b71016aa8
13c58624577
146c3217a6c
153e578cd15
hex25c984fa0

10143420320 has 72 divisors (see below), whose sum is σ = 26340459012. Its totient is φ = 3688509440.

The previous prime is 10143420293. The next prime is 10143420323. The reversal of 10143420320 is 2302434101.

It can be written as a sum of positive squares in 2 ways, for example, as 9601648144 + 541772176 = 97988^2 + 23276^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10143420292 and 10143420301.

It is not an unprimeable number, because it can be changed into a prime (10143420323) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 242609 + ... + 281328.

Almost surely, 210143420320 is an apocalyptic number.

10143420320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10143420320 is an abundant number, since it is smaller than the sum of its proper divisors (16197038692).

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

10143420320 is a wasteful number, since it uses less digits than its factorization.

10143420320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523974 (or 523955 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 10143420320 its reverse (2302434101), we get a palindrome (12445854421).

The spelling of 10143420320 in words is "ten billion, one hundred forty-three million, four hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 121 160 176 220 242 352 440 484 605 880 968 1210 1760 1936 2420 3872 4840 9680 19360 523937 1047874 2095748 2619685 4191496 5239370 5763307 8382992 10478740 11526614 16765984 20957480 23053228 28816535 41914960 46106456 57633070 63396377 83829920 92212912 115266140 126792754 184425824 230532280 253585508 316981885 461064560 507171016 633963770 922129120 1014342032 1267927540 2028684064 2535855080 5071710160 10143420320