Search a number
-
+
2412010100 = 2252193373767
BaseRepresentation
bin1000111111000100…
…0101101001110100
320020002121210211102
42033301011221310
514414433310400
61035201425232
7113525514263
oct21761055164
96202553742
102412010100
111028575985
1257393b218
132c5932416
1418c4a85da
15e1b499d5
hex8fc45a74

2412010100 has 72 divisors (see below), whose sum is σ = 5527354560. Its totient is φ = 911070720.

The previous prime is 2412010091. The next prime is 2412010123. The reversal of 2412010100 is 10102142.

2412010100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 638417 + ... + 642183.

Almost surely, 22412010100 is an apocalyptic number.

2412010100 is a gapful number since it is divisible by the number (20) 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 2412010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2763677280).

2412010100 is an abundant number, since it is smaller than the sum of its proper divisors (3115344460).

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

2412010100 is a wasteful number, since it uses less digits than its factorization.

2412010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4137 (or 4130 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 2412010100 is about 49112.2194570761. The cubic root of 2412010100 is about 1341.0955064500.

Adding to 2412010100 its reverse (10102142), we get a palindrome (2422112242).

The spelling of 2412010100 in words is "two billion, four hundred twelve million, ten thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 337 380 475 674 950 1348 1685 1900 3370 3767 6403 6740 7534 8425 12806 15068 16850 18835 25612 32015 33700 37670 64030 71573 75340 94175 128060 143146 160075 188350 286292 320150 357865 376700 640300 715730 1269479 1431460 1789325 2538958 3578650 5077916 6347395 7157300 12694790 24120101 25389580 31736975 48240202 63473950 96480404 120600505 126947900 241201010 482402020 603002525 1206005050 2412010100