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10102241344 = 26132934009
BaseRepresentation
bin10010110100010001…
…11111100001000000
3222002001011000212211
421122020333201000
5131142133210334
64350234031504
7505225430446
oct113210774100
928061130784
1010102241344
1143144a7498
121b5b278594
13c4cc37200
146bb978b96
153e1d56a64
hex25a23f840

10102241344 has 42 divisors (see below), whose sum is σ = 21707326410. Its totient is φ = 4662567936.

The previous prime is 10102241341. The next prime is 10102241353. The reversal of 10102241344 is 44314220101.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 724255744 + 9377985600 = 26912^2 + 96840^2 .

It is not an unprimeable number, because it can be changed into a prime (10102241341) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 456189 + ... + 477820.

It is an arithmetic number, because the mean of its divisors is an integer number (516841105).

Almost surely, 210102241344 is an apocalyptic number.

It is an amenable number.

10102241344 is an abundant number, since it is smaller than the sum of its proper divisors (11605085066).

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

10102241344 is an equidigital number, since it uses as much as digits as its factorization.

10102241344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 934047 (or 934024 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 10102241344 its reverse (44314220101), we get a palindrome (54416461445).

The spelling of 10102241344 in words is "ten billion, one hundred two million, two hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 169 208 338 416 676 832 1352 2704 5408 10816 934009 1868018 3736036 7472072 12142117 14944144 24284234 29888288 48568468 59776576 97136936 157847521 194273872 315695042 388547744 631390084 777095488 1262780168 2525560336 5051120672 10102241344