Search a number
-
+
101447407152200 = 23522280132224597
BaseRepresentation
bin10111000100010000010000…
…101010101010110001001000
3111022012021111020020011212102
4113010100100222222301020
5101244103242212332300
6555432143453132532
730240222215013104
oct2704202052526110
9438167436204772
10101447407152200
112a36267067759a
12b46522b48a148
13447b5ac582165
141b0a11b64c904
15badd2e8580d5
hex5c4410aaac48

101447407152200 has 48 divisors (see below), whose sum is σ = 235866362092980. Its totient is φ = 40578766652160.

The previous prime is 101447407152191. The next prime is 101447407152227. The reversal of 101447407152200 is 2251704744101.

It can be written as a sum of positive squares in 6 ways, for example, as 72239154407044 + 29208252745156 = 8499362^2 + 5404466^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44490302 + ... + 46714898.

Almost surely, 2101447407152200 is an apocalyptic number.

101447407152200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101447407152200 is an abundant number, since it is smaller than the sum of its proper divisors (134418954940780).

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

101447407152200 is a wasteful number, since it uses less digits than its factorization.

101447407152200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2452626 (or 2452617 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 38.

The spelling of 101447407152200 in words is "one hundred one trillion, four hundred forty-seven billion, four hundred seven million, one hundred fifty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 228013 456026 912052 1140065 1824104 2224597 2280130 4449194 4560260 5700325 8898388 9120520 11122985 11400650 17796776 22245970 22801300 44491940 45602600 55614925 88983880 111229850 222459700 444919400 507237035761 1014474071522 2028948143044 2536185178805 4057896286088 5072370357610 10144740715220 12680925894025 20289481430440 25361851788050 50723703576100 101447407152200