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13105411521030 = 2335167290650067
BaseRepresentation
bin1011111010110101011101…
…1001011111101000000110
31201101212100122212121211000
42332231113121133220012
53204204340322133110
643512313135154130
72521556212632213
oct276552731375006
951355318777730
1013105411521030
1141a2a79167724
121577abb975946
13740ab166ccba
1433443ba6ab0a
1517ad7da151c0
hexbeb5765fa06

13105411521030 has 64 divisors (see below), whose sum is σ = 35157032225280. Its totient is φ = 3473849588832.

The previous prime is 13105411521029. The next prime is 13105411521049. The reversal of 13105411521030 is 3012511450131.

13105411521030 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 5 + 411 + 5 + 210 + 30 = 666.

It is a super-2 number, since 2×131054115210302 (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 13105411520985 and 13105411521003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 145279944 + ... + 145370123.

It is an arithmetic number, because the mean of its divisors is an integer number (549328628520).

Almost surely, 213105411521030 is an apocalyptic number.

13105411521030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13105411521030 is an abundant number, since it is smaller than the sum of its proper divisors (22051620704250).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13105411521030 is a wasteful number, since it uses less digits than its factorization.

13105411521030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290650250 (or 290650244 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

Adding to 13105411521030 its reverse (3012511450131), we get a palindrome (16117922971161).

The spelling of 13105411521030 in words is "thirteen trillion, one hundred five billion, four hundred eleven million, five hundred twenty-one thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 167 270 334 501 835 1002 1503 1670 2505 3006 4509 5010 7515 9018 15030 22545 45090 290650067 581300134 871950201 1453250335 1743900402 2615850603 2906500670 4359751005 5231701206 7847551809 8719502010 13079253015 15695103618 26158506030 39237759045 48538561189 78475518090 97077122378 145615683567 242692805945 291231367134 436847050701 485385611890 728078417835 873694101402 1310541152103 1456156835670 2184235253505 2621082304206 4368470507010 6552705760515 13105411521030