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101124144032 = 254597687433
BaseRepresentation
bin101111000101101110…
…1111111101110100000
3100200000111220202221212
41132023131333232200
53124100240102112
6114242241205252
710206644020232
oct1361335775640
9320014822855
10101124144032
1139982a4115a
1217722330828
1396c7694b22
144c74486252
15296cc8e522
hex178b77fba0

101124144032 has 24 divisors (see below), whose sum is σ = 199131756516. Its totient is φ = 50550999552.

The previous prime is 101124144029. The next prime is 101124144047. The reversal of 101124144032 is 230441421101.

It can be written as a sum of positive squares in 2 ways, for example, as 100410399376 + 713744656 = 316876^2 + 26716^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101124143989 and 101124144007.

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 3 ways as a sum of consecutive naturals, for example, 196613 + ... + 490820.

Almost surely, 2101124144032 is an apocalyptic number.

It is an amenable number.

101124144032 is a deficient number, since it is larger than the sum of its proper divisors (98007612484).

101124144032 is an equidigital number, since it uses as much as digits as its factorization.

101124144032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692040 (or 692032 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 101124144032 its reverse (230441421101), we get a palindrome (331565565133).

The spelling of 101124144032 in words is "one hundred one billion, one hundred twenty-four million, one hundred forty-four thousand, thirty-two".

Divisors: 1 2 4 8 16 32 4597 9194 18388 36776 73552 147104 687433 1374866 2749732 5499464 10998928 21997856 3160129501 6320259002 12640518004 25281036008 50562072016 101124144032