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1010130132224 = 285417293569
BaseRepresentation
bin11101011001100000111…
…00101001110100000000
310120120022201001110110102
432230300130221310000
5113022221303212344
62052014122221532
7132656652312143
oct16546034516400
93516281043412
101010130132224
1135a4371421a4
1214392a6548a8
1374340c19a15
1436c679a205a
151b420c7be4e
hexeb30729d00

1010130132224 has 36 divisors (see below), whose sum is σ = 2020041734340. Its totient is φ = 504131420160.

The previous prime is 1010130132211. The next prime is 1010130132229. The reversal of 1010130132224 is 4222310310101.

It can be written as a sum of positive squares in 2 ways, for example, as 339749094400 + 670381037824 = 582880^2 + 818768^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1010130132196 and 1010130132205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010130132229) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 3508289 + ... + 3785280.

Almost surely, 21010130132224 is an apocalyptic number.

It is an amenable number.

1010130132224 is a deficient number, since it is larger than the sum of its proper divisors (1009911602116).

1010130132224 is an frugal number, since it uses more digits than its factorization.

1010130132224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7294126 (or 7294112 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 1010130132224 its reverse (4222310310101), we get a palindrome (5232440442325).

The spelling of 1010130132224 in words is "one trillion, ten billion, one hundred thirty million, one hundred thirty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 128 256 541 1082 2164 4328 8656 17312 34624 69248 138496 7293569 14587138 29174276 58348552 116697104 233394208 466788416 933576832 1867153664 3945820829 7891641658 15783283316 31566566632 63133133264 126266266528 252532533056 505065066112 1010130132224