Search a number
-
+
101224522416645 = 3252249433831481
BaseRepresentation
bin10111000001000000101011…
…101100111000001000000101
3111021101222012000021110212200
4113001000223230320020011
5101231430310214313040
6555141523103505113
730215142013015335
oct2701005354701005
9437358160243780
10101224522416645
112a287095a93901
12b429ba78b8199
13446357c030454
141add4160c50c5
15ba8137291630
hex5c102bb38205

101224522416645 has 12 divisors (see below), whose sum is σ = 175455838855596. Its totient is φ = 53986411955520.

The previous prime is 101224522416643. The next prime is 101224522416697. The reversal of 101224522416645 is 546614225422101.

101224522416645 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 24 + 522 + 4 + 1 + 66 + 45 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 15550671712356 + 85673850704289 = 3943434^2 + 9256017^2 .

It is not a de Polignac number, because 101224522416645 - 21 = 101224522416643 is a prime.

It is a super-2 number, since 2×1012245224166452 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 2249433831481 = 101224522416645 / (1 + 0 + 1 + 2 + 2 + 4 + 5 + 2 + 2 + 4 + 1 + 6 + 6 + 4 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 101224522416645.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101224522416643) 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, 1124716915696 + ... + 1124716915785.

It is an arithmetic number, because the mean of its divisors is an integer number (14621319904633).

Almost surely, 2101224522416645 is an apocalyptic number.

101224522416645 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101224522416645 is a deficient number, since it is larger than the sum of its proper divisors (74231316438951).

101224522416645 is a wasteful number, since it uses less digits than its factorization.

101224522416645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2249433831492 (or 2249433831489 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

Adding to 101224522416645 its reverse (546614225422101), we get a palindrome (647838747838746).

The spelling of 101224522416645 in words is "one hundred one trillion, two hundred twenty-four billion, five hundred twenty-two million, four hundred sixteen thousand, six hundred forty-five".

Divisors: 1 3 5 9 15 45 2249433831481 6748301494443 11247169157405 20244904483329 33741507472215 101224522416645