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10120221410 = 2513731066409
BaseRepresentation
bin10010110110011011…
…00101001011100010
3222010021222111220012
421123031211023202
5131211234041120
64352115244522
7505534314455
oct113315451342
928107874805
1010120221410
114323668152
121b652a9742
13c538910c0
146c00d949c
153e37091c5
hex25b3652e2

10120221410 has 32 divisors (see below), whose sum is σ = 19886413680. Its totient is φ = 3685506048.

The previous prime is 10120221383. The next prime is 10120221479. The reversal of 10120221410 is 1412202101.

It is a happy number.

10120221410 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 674908441 + 9445312969 = 25979^2 + 97187^2 .

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 15 ways as a sum of consecutive naturals, for example, 523715 + ... + 542694.

Almost surely, 210120221410 is an apocalyptic number.

10120221410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10120221410 is a deficient number, since it is larger than the sum of its proper divisors (9766192270).

10120221410 is a wasteful number, since it uses less digits than its factorization.

10120221410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1066502.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10120221410 its reverse (1412202101), we get a palindrome (11532423511).

The spelling of 10120221410 in words is "ten billion, one hundred twenty million, two hundred twenty-one thousand, four hundred ten".

Divisors: 1 2 5 10 13 26 65 73 130 146 365 730 949 1898 4745 9490 1066409 2132818 5332045 10664090 13863317 27726634 69316585 77847857 138633170 155695714 389239285 778478570 1012022141 2024044282 5060110705 10120221410