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13122300554541 = 3271120117098819
BaseRepresentation
bin1011111011110100011000…
…0100000010110100101101
31201110110221200120102022200
42332331012010002310231
53204443432420221131
643524145053532113
72523024561225033
oct276750604026455
951413850512280
1013122300554541
1141aa155624562
12157b233aa4039
13742573680159
143351a0b02553
1517b51b5bd2e6
hexbef46102d2d

13122300554541 has 24 divisors (see below), whose sum is σ = 19237403615040. Its totient is φ = 8617804272000.

The previous prime is 13122300554507. The next prime is 13122300554593. The reversal of 13122300554541 is 14545500322131.

13122300554541 is a `hidden beast` number, since 1 + 3 + 1 + 22 + 30 + 0 + 554 + 54 + 1 = 666.

13122300554541 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 13122300554541 - 29 = 13122300554029 is a prime.

It is a super-2 number, since 2×131223005545412 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13122300554496 and 13122300554505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13122300553541) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7781971 + ... + 9316848.

It is an arithmetic number, because the mean of its divisors is an integer number (801558483960).

Almost surely, 213122300554541 is an apocalyptic number.

It is an amenable number.

13122300554541 is a deficient number, since it is larger than the sum of its proper divisors (6115103060499).

13122300554541 is a wasteful number, since it uses less digits than its factorization.

13122300554541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17100097 (or 17100094 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 13122300554541 its reverse (14545500322131), we get a palindrome (27667800876672).

The spelling of 13122300554541 in words is "thirteen trillion, one hundred twenty-two billion, three hundred million, five hundred fifty-four thousand, five hundred forty-one".

Divisors: 1 3 9 71 213 639 1201 3603 10809 85271 255813 767439 17098819 51296457 153889371 1214016149 3642048447 10926145341 20535681619 61607044857 184821134571 1458033394949 4374100184847 13122300554541