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103044545541 = 3272733200837
BaseRepresentation
bin101111111110111101…
…1101111110000000101
3100211222100111021120200
41133331323233300011
53142013400424131
6115201002121113
710305353120400
oct1377573576005
9324870437520
10103044545541
113a778a61243
1217b794b0199
1399424bc792
144db7540d37
152a3167c2e6
hex17fdeefc05

103044545541 has 36 divisors (see below), whose sum is σ = 175514750892. Its totient is φ = 58075968384.

The previous prime is 103044545491. The next prime is 103044545551. The reversal of 103044545541 is 145545440301.

103044545541 is a `hidden beast` number, since 1 + 0 + 30 + 4 + 45 + 45 + 541 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 54433556100 + 48610989441 = 233310^2 + 220479^2 .

It is not a de Polignac number, because 103044545541 - 221 = 103042448389 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 103044545496 and 103044545505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103044545551) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1568226 + ... + 1632611.

It is an arithmetic number, because the mean of its divisors is an integer number (4875409747).

Almost surely, 2103044545541 is an apocalyptic number.

It is an amenable number.

103044545541 is a deficient number, since it is larger than the sum of its proper divisors (72470205351).

103044545541 is a wasteful number, since it uses less digits than its factorization.

103044545541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3200930 (or 3200920 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

Adding to 103044545541 its reverse (145545440301), we get a palindrome (248589985842).

The spelling of 103044545541 in words is "one hundred three billion, forty-four million, five hundred forty-five thousand, five hundred forty-one".

Divisors: 1 3 7 9 21 49 63 73 147 219 441 511 657 1533 3577 4599 10731 32193 3200837 9602511 22405859 28807533 67217577 156841013 201652731 233661101 470523039 700983303 1411569117 1635627707 2102949909 4906883121 11449393949 14720649363 34348181847 103044545541