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130218445103040 = 2632577388482853
BaseRepresentation
bin11101100110111011011000…
…001010011101111111000000
3122002001202120100000021212200
4131212323120022131333000
5114031444333421244130
61140541310002353200
736266654314353210
oct3546733012357700
9562052510007780
10130218445103040
1138545372522338
121273125995b800
1357877150a86c8
14242286bc52240
15100c431ee8760
hex766ed829dfc0

130218445103040 has 336 divisors, whose sum is σ = 518894601820608. Its totient is φ = 29356486705152.

The previous prime is 130218445103039. The next prime is 130218445103063. The reversal of 130218445103040 is 40301544812031.

130218445103040 is a `hidden beast` number, since 1 + 3 + 0 + 21 + 84 + 4 + 510 + 3 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 130218445102986 and 130218445103004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42769747 + ... + 45713106.

Almost surely, 2130218445103040 is an apocalyptic number.

130218445103040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130218445103040 is an abundant number, since it is smaller than the sum of its proper divisors (388676156717568).

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

130218445103040 is a wasteful number, since it uses less digits than its factorization.

130218445103040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88482956 (or 88482943 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 130218445103040 its reverse (40301544812031), we get a palindrome (170519989915071).

The spelling of 130218445103040 in words is "one hundred thirty trillion, two hundred eighteen billion, four hundred forty-five million, one hundred three thousand, forty".