Search a number
-
+
106503311376 = 2435711232341
BaseRepresentation
bin110001100110000010…
…1111001000000010000
3101011220101202210100000
41203030011321000100
53221104321431001
6120532115330000
710460152131660
oct1431405710020
9334811683300
10106503311376
1141193385200
12187838b0900
13a073c4c897
145224a481a0
152b85141a86
hex18cc179010

106503311376 has 360 divisors, whose sum is σ = 388303744192. Its totient is φ = 27662342400.

The previous prime is 106503311371. The next prime is 106503311413. The reversal of 106503311376 is 673113305601.

It is a happy number.

106503311376 is a `hidden beast` number, since 10 + 6 + 503 + 3 + 1 + 137 + 6 = 666.

It is a super-2 number, since 2×1065033113762 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 106503311376.

It is not an unprimeable number, because it can be changed into a prime (106503311371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3276966 + ... + 3309306.

Almost surely, 2106503311376 is an apocalyptic number.

106503311376 is a gapful number since it is divisible by the number (16) 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 106503311376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194151872096).

106503311376 is an abundant number, since it is smaller than the sum of its proper divisors (281800432816).

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

106503311376 is a wasteful number, since it uses less digits than its factorization.

106503311376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32393 (or 32364 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

Adding to 106503311376 its reverse (673113305601), we get a palindrome (779616616977).

The spelling of 106503311376 in words is "one hundred six billion, five hundred three million, three hundred eleven thousand, three hundred seventy-six".