Search a number
-
+
10201202130 = 2357151389827
BaseRepresentation
bin10011000000000100…
…11111110111010010
3222022221100202120010
421200002133313102
5131343001432010
64404131055350
7510536534040
oct114002376722
928287322503
1010201202130
114365349169
121b88441556
13c675a59a2
146cab79390
153ea8a3620
hex26009fdd2

10201202130 has 128 divisors (see below), whose sum is σ = 28272291840. Its totient is φ = 2307513600.

The previous prime is 10201202093. The next prime is 10201202171. The reversal of 10201202130 is 3120210201.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12334777 + ... + 12335603.

It is an arithmetic number, because the mean of its divisors is an integer number (220877280).

Almost surely, 210201202130 is an apocalyptic number.

10201202130 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 10201202130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14136145920).

10201202130 is an abundant number, since it is smaller than the sum of its proper divisors (18071089710).

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

10201202130 is a wasteful number, since it uses less digits than its factorization.

10201202130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1384.

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10201202130 its reverse (3120210201), we get a palindrome (13321412331).

The spelling of 10201202130 in words is "ten billion, two hundred one million, two hundred two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 151 210 302 389 453 755 778 827 906 1057 1167 1510 1654 1945 2114 2265 2334 2481 2723 3171 3890 4135 4530 4962 5285 5446 5789 5835 6342 8169 8270 10570 11578 11670 12405 13615 15855 16338 17367 24810 27230 28945 31710 34734 40845 57890 58739 81690 86835 117478 124877 173670 176217 249754 293695 321703 352434 374631 411173 587390 624385 643406 749262 822346 874139 881085 965109 1233519 1248770 1608515 1748278 1762170 1873155 1930218 2055865 2251921 2467038 2622417 3217030 3746310 4111730 4370695 4503842 4825545 5244834 6167595 6755763 8741390 9651090 11259605 12335190 13112085 13511526 22519210 26224170 33778815 48577153 67557630 97154306 145731459 242885765 291462918 340040071 485771530 680080142 728657295 1020120213 1457314590 1700200355 2040240426 3400400710 5100601065 10201202130