Search a number
-
+
412331230100 = 225237111440873
BaseRepresentation
bin1100000000000001101…
…10110100001110010100
31110102022001221202121202
412000000312310032110
523223423243330400
6513231121132032
741534644425116
oct6000066641624
91412261852552
10412331230100
11149961259059
1267ab4a8a018
132cb622b67ba
1415d57ba33b6
15aad42964d5
hex6000db4394

412331230100 has 36 divisors (see below), whose sum is σ = 918941447004. Its totient is φ = 160474855680.

The previous prime is 412331230081. The next prime is 412331230109. The reversal of 412331230100 is 1032133214.

It can be written as a sum of positive squares in 6 ways, for example, as 14526034576 + 397805195524 = 120524^2 + 630718^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412331230109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55716737 + ... + 55724136.

Almost surely, 2412331230100 is an apocalyptic number.

It is an amenable number.

412331230100 is an abundant number, since it is smaller than the sum of its proper divisors (506610216904).

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

412331230100 is a wasteful number, since it uses less digits than its factorization.

412331230100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111440924 (or 111440917 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 412331230100 its reverse (1032133214), we get a palindrome (413363363314).

The spelling of 412331230100 in words is "four hundred twelve billion, three hundred thirty-one million, two hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 37 50 74 100 148 185 370 740 925 1850 3700 111440873 222881746 445763492 557204365 1114408730 2228817460 2786021825 4123312301 5572043650 8246624602 11144087300 16493249204 20616561505 41233123010 82466246020 103082807525 206165615050 412331230100