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130203313020 = 22325113713113567
BaseRepresentation
bin111100101000010111…
…0001110001101111100
3110110002002111121122200
41321100232032031330
54113124022004040
6135451540511500
712256362620454
oct1712056161574
9413062447580
10130203313020
1150245415220
12212989ab590
13c38004bab1
1464324b0d64
1535c0b24630
hex1e50b8e37c

130203313020 has 288 divisors, whose sum is σ = 445910040576. Its totient is φ = 30474662400.

The previous prime is 130203312991. The next prime is 130203313039. The reversal of 130203313020 is 20313302031.

130203313020 is a `hidden beast` number, since 1 + 30 + 2 + 0 + 331 + 302 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 130203312984 and 130203313002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9590277 + ... + 9603843.

It is an arithmetic number, because the mean of its divisors is an integer number (1548298752).

Almost surely, 2130203313020 is an apocalyptic number.

130203313020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130203313020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222955020288).

130203313020 is an abundant number, since it is smaller than the sum of its proper divisors (315706727556).

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

130203313020 is a wasteful number, since it uses less digits than its factorization.

130203313020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13761 (or 13756 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 130203313020 its reverse (20313302031), we get a palindrome (150516615051).

The spelling of 130203313020 in words is "one hundred thirty billion, two hundred three million, three hundred thirteen thousand, twenty".