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13120130023040 = 27520500203161
BaseRepresentation
bin1011111011101100010010…
…1100000111111010000000
31201110021100102022222212002
42332323010230013322000
53204430011241214130
643523145435523132
72522620024061615
oct276730454077200
951407312288762
1013120130023040
1141a92413a2077
12157a928bb94a8
137422b8a988a1
1433503673650c
1517b440c72b45
hexbeec4b07e80

13120130023040 has 32 divisors (see below), whose sum is σ = 31365310837860. Its totient is φ = 5248052008960.

The previous prime is 13120130022997. The next prime is 13120130023057. The reversal of 13120130023040 is 4032003102131.

13120130023040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 12747356278336 + 372773744704 = 3570344^2 + 610552^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10250100941 + ... + 10250102220.

Almost surely, 213120130023040 is an apocalyptic number.

13120130023040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13120130023040 is an abundant number, since it is smaller than the sum of its proper divisors (18245180814820).

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

13120130023040 is an equidigital number, since it uses as much as digits as its factorization.

13120130023040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20500203180 (or 20500203168 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 13120130023040 its reverse (4032003102131), we get a palindrome (17152133125171).

The spelling of 13120130023040 in words is "thirteen trillion, one hundred twenty billion, one hundred thirty million, twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 20500203161 41000406322 82000812644 102501015805 164001625288 205002031610 328003250576 410004063220 656006501152 820008126440 1312013002304 1640016252880 2624026004608 3280032505760 6560065011520 13120130023040