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103133441025 = 3352179853577
BaseRepresentation
bin110000000001100111…
…0110110110000000001
3100212012112202122021000
41200003032312300001
53142204130103100
6115213455322213
710310512533036
oct1400316666001
9325175678230
10103133441025
113a81415878a
1217ba3220369
139957a45a64
144dc528138d
152a3938b900
hex18033b6c01

103133441025 has 48 divisors (see below), whose sum is σ = 190518609600. Its totient is φ = 54697150080.

The previous prime is 103133440997. The next prime is 103133441027. The reversal of 103133441025 is 520144331301.

It is a happy number.

103133441025 is a `hidden beast` number, since 1 + 0 + 313 + 344 + 1 + 0 + 2 + 5 = 666.

It is not a de Polignac number, because 103133441025 - 26 = 103133440961 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 103133441025.

It is not an unprimeable number, because it can be changed into a prime (103133441027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 305964 + ... + 547613.

It is an arithmetic number, because the mean of its divisors is an integer number (3969137700).

Almost surely, 2103133441025 is an apocalyptic number.

103133441025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

103133441025 is a deficient number, since it is larger than the sum of its proper divisors (87385168575).

103133441025 is a wasteful number, since it uses less digits than its factorization.

103133441025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 853775 (or 853764 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 103133441025 its reverse (520144331301), we get a palindrome (623277772326).

The spelling of 103133441025 in words is "one hundred three billion, one hundred thirty-three million, four hundred forty-one thousand, twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 135 179 225 537 675 895 1611 2685 4475 4833 8055 13425 24165 40275 120825 853577 2560731 4267885 7682193 12803655 21339425 23046579 38410965 64018275 115232895 152790283 192054825 458370849 576164475 763951415 1375112547 2291854245 3819757075 4125337641 6875562735 11459271225 20626688205 34377813675 103133441025