Search a number
-
+
10141100500 = 225367330137
BaseRepresentation
bin10010111000111010…
…01110100111010100
3222011202021021121211
421130131032213110
5131232110204000
64354142551204
7506206634446
oct113435164724
928152237554
1010141100500
1143344289a3
121b70298504
13c57cc16ab
146c2bb2496
153e54807ba
hex25c74e9d4

10141100500 has 48 divisors (see below), whose sum is σ = 22181809104. Its totient is φ = 4050278400.

The previous prime is 10141100479. The next prime is 10141100531. The reversal of 10141100500 is 500114101.

It can be written as a sum of positive squares in 8 ways, for example, as 6646162576 + 3494937924 = 81524^2 + 59118^2 .

It is a super-2 number, since 2×101411005002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 321432 + ... + 351568.

It is an arithmetic number, because the mean of its divisors is an integer number (462121023).

Almost surely, 210141100500 is an apocalyptic number.

10141100500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10141100500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11090904552).

10141100500 is an abundant number, since it is smaller than the sum of its proper divisors (12040708604).

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

10141100500 is a wasteful number, since it uses less digits than its factorization.

10141100500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30829 (or 30817 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 13.

Adding to 10141100500 its reverse (500114101), we get a palindrome (10641214601).

The spelling of 10141100500 in words is "ten billion, one hundred forty-one million, one hundred thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 673 1346 2692 3365 6730 13460 16825 30137 33650 60274 67300 84125 120548 150685 168250 301370 336500 602740 753425 1506850 3013700 3767125 7534250 15068500 20282201 40564402 81128804 101411005 202822010 405644020 507055025 1014110050 2028220100 2535275125 5070550250 10141100500