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130229358336 = 283471181563
BaseRepresentation
bin111100101001001000…
…1100100111100000000
3110110010220111212010000
41321102101210330000
54113202203431321
6135454311040000
712260130165360
oct1712221447400
9413126455100
10130229358336
1150259094480
12212a5670000
13c38556aa1c
146435b309a0
1535c306b826
hex1e52464f00

130229358336 has 360 divisors, whose sum is σ = 484145633664. Its totient is φ = 33825392640.

The previous prime is 130229358331. The next prime is 130229358367. The reversal of 130229358336 is 633853922031.

130229358336 is a `hidden beast` number, since 1 + 30 + 2 + 2 + 9 + 3 + 583 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 130229358291 and 130229358300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130229358331) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1555891 + ... + 1637453.

Almost surely, 2130229358336 is an apocalyptic number.

130229358336 is a gapful number since it is divisible by the number (16) 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 130229358336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242072816832).

130229358336 is an abundant number, since it is smaller than the sum of its proper divisors (353916275328).

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

130229358336 is an equidigital number, since it uses as much as digits as its factorization.

130229358336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81609 (or 81586 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 130229358336 in words is "one hundred thirty billion, two hundred twenty-nine million, three hundred fifty-eight thousand, three hundred thirty-six".