Search a number
-
+
126546032100 = 22352421820107
BaseRepresentation
bin111010111011010111…
…0110011010111100100
3110002122012200111101210
41311312232303113210
54033131241011400
6134045012351420
712066633345045
oct1656656632744
9402565614353
10126546032100
1149738a32a04
1220638015570
13bc19434547
1461a68908cc
1534599ea950
hex1d76bb35e4

126546032100 has 36 divisors (see below), whose sum is σ = 366139853744. Its totient is φ = 33745608480.

The previous prime is 126546032083. The next prime is 126546032117. The reversal of 126546032100 is 1230645621.

It is an interprime number because it is at equal distance from previous prime (126546032083) and next prime (126546032117).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 210909754 + ... + 210910353.

Almost surely, 2126546032100 is an apocalyptic number.

126546032100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126546032100 is an abundant number, since it is smaller than the sum of its proper divisors (239593821644).

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

126546032100 is a wasteful number, since it uses less digits than its factorization.

126546032100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421820124 (or 421820117 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 126546032100 its reverse (1230645621), we get a palindrome (127776677721).

The spelling of 126546032100 in words is "one hundred twenty-six billion, five hundred forty-six million, thirty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 421820107 843640214 1265460321 1687280428 2109100535 2530920642 4218201070 5061841284 6327301605 8436402140 10545502675 12654603210 21091005350 25309206420 31636508025 42182010700 63273016050 126546032100