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1053140010 = 2351310725237
BaseRepresentation
bin111110110001011…
…010010000101010
32201101200001111120
4332301122100222
54124100440020
6252300240110
735045354016
oct7661322052
92641601446
101053140010
114a051974a
12254840036
1313a254890
149dc21546
15626cb740
hex3ec5a42a

1053140010 has 64 divisors (see below), whose sum is σ = 2747509632. Its totient is φ = 256801536.

The previous prime is 1053140009. The next prime is 1053140057. The reversal of 1053140010 is 100413501.

1053140010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10531400102 = 2218207761325600200, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29112 + ... + 54348.

It is an arithmetic number, because the mean of its divisors is an integer number (42929838).

Almost surely, 21053140010 is an apocalyptic number.

1053140010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1053140010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1373754816).

1053140010 is an abundant number, since it is smaller than the sum of its proper divisors (1694369622).

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

1053140010 is a wasteful number, since it uses less digits than its factorization.

1053140010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25367.

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 1053140010 is about 32452.1187289829. The cubic root of 1053140010 is about 1017.4085214581.

Adding to 1053140010 its reverse (100413501), we get a palindrome (1153553511).

The spelling of 1053140010 in words is "one billion, fifty-three million, one hundred forty thousand, ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 107 130 195 214 321 390 535 642 1070 1391 1605 2782 3210 4173 6955 8346 13910 20865 25237 41730 50474 75711 126185 151422 252370 328081 378555 656162 757110 984243 1640405 1968486 2700359 3280810 4921215 5400718 8101077 9842430 13501795 16202154 27003590 35104667 40505385 70209334 81010770 105314001 175523335 210628002 351046670 526570005 1053140010