Search a number
-
+
10101030200 = 235210124951
BaseRepresentation
bin10010110100001000…
…10111110100111000
3222001221212111111122
421122010113310320
5131141330431300
64350152044412
7505212224432
oct113204276470
928057774448
1010101030200
11431384a548
121b5a993708
13c4c901b61
146bb741652
153e1bb7c85
hex25a117d38

10101030200 has 72 divisors (see below), whose sum is σ = 23724512040. Its totient is φ = 3999600000.

The previous prime is 10101030187. The next prime is 10101030209. The reversal of 10101030200 is 203010101.

It is a super-2 number, since 2×101010302002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101030209) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2037725 + ... + 2042675.

Almost surely, 210101030200 is an apocalyptic number.

10101030200 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 10101030200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11862256020).

10101030200 is an abundant number, since it is smaller than the sum of its proper divisors (13623481840).

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

10101030200 is a wasteful number, since it uses less digits than its factorization.

10101030200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5169 (or 5059 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

Adding to 10101030200 its reverse (203010101), we get a palindrome (10304040301).

The spelling of 10101030200 in words is "ten billion, one hundred one million, thirty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 101 200 202 404 505 808 1010 2020 2525 4040 4951 5050 9902 10100 10201 19804 20200 20402 24755 39608 40804 49510 51005 81608 99020 102010 123775 198040 204020 247550 255025 408040 495100 500051 510050 990200 1000102 1020100 2000204 2040200 2500255 4000408 5000510 10001020 12501275 20002040 25002550 50005100 50505151 100010200 101010302 202020604 252525755 404041208 505051510 1010103020 1262628775 2020206040 2525257550 5050515100 10101030200