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10114445355 = 357472049533
BaseRepresentation
bin10010110101101111…
…00011000000101011
3222002220010001122020
421122313203000223
5131203244222410
64351351355523
7505434236610
oct113267430053
928086101566
1010114445355
114320382553
121b63382ba3
13c5261b011
146bd434507
153e2e67a70
hex25ade302b

10114445355 has 32 divisors (see below), whose sum is σ = 18888505344. Its totient is φ = 4525366656.

The previous prime is 10114445329. The next prime is 10114445359. The reversal of 10114445355 is 55354441101.

10114445355 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 10114445355 - 26 = 10114445291 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10114445359) 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 31 ways as a sum of consecutive naturals, for example, 1019832 + ... + 1029701.

It is an arithmetic number, because the mean of its divisors is an integer number (590265792).

Almost surely, 210114445355 is an apocalyptic number.

10114445355 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10114445355 is a deficient number, since it is larger than the sum of its proper divisors (8774059989).

10114445355 is a wasteful number, since it uses less digits than its factorization.

10114445355 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2049595.

The product of its (nonzero) digits is 24000, while the sum is 33.

Adding to 10114445355 its reverse (55354441101), we get a palindrome (65468886456).

The spelling of 10114445355 in words is "ten billion, one hundred fourteen million, four hundred forty-five thousand, three hundred fifty-five".

Divisors: 1 3 5 7 15 21 35 47 105 141 235 329 705 987 1645 4935 2049533 6148599 10247665 14346731 30742995 43040193 71733655 96328051 215200965 288984153 481640255 674296357 1444920765 2022889071 3371481785 10114445355