Search a number
-
+
10103133323130 = 2354143191021617
BaseRepresentation
bin1001001100000101000110…
…1011000011111101111010
31022202211221201202220100220
42103001101223003331322
52311012204112320010
633253152042040510
72061633030206541
oct223012153037572
938684851686326
1010103133323130
113245795411171
12117207aaa9136
1358394bb5c703
1426cdcc37d158
15127c142a9970
hex93051ac3f7a

10103133323130 has 64 divisors (see below), whose sum is σ = 25416572404608. Its totient is φ = 2567330519040.

The previous prime is 10103133323113. The next prime is 10103133323191. The reversal of 10103133323130 is 3132333130101.

10103133323130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 10103133323130.

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, 95457919 + ... + 95563698.

It is an arithmetic number, because the mean of its divisors is an integer number (397133943822).

Almost surely, 210103133323130 is an apocalyptic number.

10103133323130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10103133323130 is an abundant number, since it is smaller than the sum of its proper divisors (15313439081478).

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

10103133323130 is a wasteful number, since it uses less digits than its factorization.

10103133323130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191021711.

The product of its (nonzero) digits is 1458, while the sum is 24.

Adding to 10103133323130 its reverse (3132333130101), we get a palindrome (13235466453231).

The spelling of 10103133323130 in words is "ten trillion, one hundred three billion, one hundred thirty-three million, three hundred twenty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 41 43 82 86 123 129 205 215 246 258 410 430 615 645 1230 1290 1763 3526 5289 8815 10578 17630 26445 52890 191021617 382043234 573064851 955108085 1146129702 1910216170 2865324255 5730648510 7831886297 8213929531 15663772594 16427859062 23495658891 24641788593 39159431485 41069647655 46991317782 49283577186 78318862970 82139295310 117478294455 123208942965 234956588910 246417885930 336771110771 673542221542 1010313332313 1683855553855 2020626664626 3367711107710 5051566661565 10103133323130