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1034100353 = 11132556267
BaseRepresentation
bin111101101000110…
…001111010000001
32200001211202000002
4331220301322001
54104212202403
6250340205345
734424464556
oct7550617201
92601752002
101034100353
114907a49a0
1224a399855
13136319600
149b4a6a2d
1560bba188
hex3da31e81

1034100353 has 12 divisors (see below), whose sum is σ = 1221564528. Its totient is φ = 867774960.

The previous prime is 1034100341. The next prime is 1034100359. The reversal of 1034100353 is 3530014301.

It is a happy number.

1034100353 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1034100353 - 24 = 1034100337 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1034100359) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 276275 + ... + 279992.

It is an arithmetic number, because the mean of its divisors is an integer number (101797044).

Almost surely, 21034100353 is an apocalyptic number.

1034100353 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1034100353 is a deficient number, since it is larger than the sum of its proper divisors (187464175).

1034100353 is a wasteful number, since it uses less digits than its factorization.

1034100353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556304 (or 556291 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 1034100353 is about 32157.4307586909. The cubic root of 1034100353 is about 1011.2399739767.

Adding to 1034100353 its reverse (3530014301), we get a palindrome (4564114654).

The spelling of 1034100353 in words is "one billion, thirty-four million, one hundred thousand, three hundred fifty-three".

Divisors: 1 11 13 143 169 1859 556267 6118937 7231471 79546181 94009123 1034100353