Search a number
-
+
6031002100 = 22521134911087
BaseRepresentation
bin1011001110111100…
…11100100111110100
3120120022101122120011
411213132130213310
544322414031400
62434241150004
7302311446334
oct54736344764
916508348504
106031002100
112615386162
12120392b304
13751631bc6
14412d9d0c4
1525470d8ba
hex16779c9f4

6031002100 has 72 divisors (see below), whose sum is σ = 13242152448. Its totient is φ = 2383987200.

The previous prime is 6031002083. The next prime is 6031002101. The reversal of 6031002100 is 12001306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6031002101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5547757 + ... + 5548843.

It is an arithmetic number, because the mean of its divisors is an integer number (183918784).

Almost surely, 26031002100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6031002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6621076224).

6031002100 is an abundant number, since it is smaller than the sum of its proper divisors (7211150348).

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

6031002100 is a wasteful number, since it uses less digits than its factorization.

6031002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1705 (or 1698 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 6031002100 is about 77659.5267819731. The cubic root of 6031002100 is about 1820.2449153157.

Adding to 6031002100 its reverse (12001306), we get a palindrome (6043003406).

The spelling of 6031002100 in words is "six billion, thirty-one million, two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 113 226 452 491 565 982 1087 1130 1964 2174 2260 2455 2825 4348 4910 5435 5650 9820 10870 11300 12275 21740 24550 27175 49100 54350 55483 108700 110966 122831 221932 245662 277415 491324 533717 554830 614155 1067434 1109660 1228310 1387075 2134868 2456620 2668585 2774150 3070775 5337170 5548300 6141550 10674340 12283100 13342925 26685850 53371700 60310021 120620042 241240084 301550105 603100210 1206200420 1507750525 3015501050 6031002100