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130053599214 = 23721133171151
BaseRepresentation
bin111100100011111001…
…1000110111111101110
3110102200122210100220220
41321013303012333232
54112322210133324
6135425031552210
712252564232200
oct1710763067756
9412618710826
10130053599214
1150178959000
122125682b666
13c358020246
14641a65c770
1535b28eeb79
hex1e47cc6fee

130053599214 has 384 divisors, whose sum is σ = 350689886208. Its totient is φ = 32016600000.

The previous prime is 130053599171. The next prime is 130053599239. The reversal of 130053599214 is 412995350031.

It is a super-3 number, since 3×1300535992143 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 861282039 + ... + 861282189.

It is an arithmetic number, because the mean of its divisors is an integer number (913254912).

Almost surely, 2130053599214 is an apocalyptic number.

130053599214 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 130053599214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175344943104).

130053599214 is an abundant number, since it is smaller than the sum of its proper divisors (220636286994).

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

130053599214 is a wasteful number, since it uses less digits than its factorization.

130053599214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 42.

The spelling of 130053599214 in words is "one hundred thirty billion, fifty-three million, five hundred ninety-nine thousand, two hundred fourteen".