Search a number
-
+
10140020010 = 23251811913259
BaseRepresentation
bin10010111000110010…
…00110110100101010
3222011200020101110200
421130121012310222
5131231321120020
64354103453030
7506164514361
oct113431066452
928150211420
1010140020010
11433386012a
121b6ba57176
13c57a03953
146c29b07d8
153e531a590
hex25c646d2a

10140020010 has 96 divisors (see below), whose sum is σ = 26656680960. Its totient is φ = 2674166400.

The previous prime is 10140020003. The next prime is 10140020047. The reversal of 10140020010 is 1002004101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10140019974 and 10140020001.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3109761 + ... + 3113019.

It is an arithmetic number, because the mean of its divisors is an integer number (277673760).

Almost surely, 210140020010 is an apocalyptic number.

10140020010 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 10140020010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13328340480).

10140020010 is an abundant number, since it is smaller than the sum of its proper divisors (16516660950).

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

10140020010 is a wasteful number, since it uses less digits than its factorization.

10140020010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3644 (or 3641 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10140020010 its reverse (1002004101), we get a palindrome (11142024111).

The spelling of 10140020010 in words is "ten billion, one hundred forty million, twenty thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 181 191 362 382 543 573 905 955 1086 1146 1629 1719 1810 1910 2715 2865 3258 3259 3438 5430 5730 6518 8145 8595 9777 16290 16295 17190 19554 29331 32590 34571 48885 58662 69142 97770 103713 146655 172855 207426 293310 311139 345710 518565 589879 622278 622469 1037130 1179758 1244938 1555695 1769637 1867407 2949395 3111390 3112345 3539274 3734814 5308911 5602221 5898790 6224690 8848185 9337035 10617822 11204442 17696370 18674070 26544555 28011105 53089110 56022210 112666889 225333778 338000667 563334445 676001334 1014002001 1126668890 1690003335 2028004002 3380006670 5070010005 10140020010