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130223487663360 = 28345713229311181
BaseRepresentation
bin11101100111000000000100…
…101110010011110100000000
3122002002020120202110220020000
4131213000010232103310000
5114032040200320211420
61140543502214120000
736300223264411230
oct3547000456236400
9562066522426200
10130223487663360
113854751a959563
1212732226650000
1357880399b9300
142422bc9831cc0
15100c629a5a690
hex767004b93d00

130223487663360 has 4320 divisors, whose sum is σ = 616293102458880. Its totient is φ = 25650796953600.

The previous prime is 130223487663359. The next prime is 130223487663371. The reversal of 130223487663360 is 63366784322031.

130223487663360 is a `hidden beast` number, since 1 + 3 + 0 + 2 + 234 + 8 + 76 + 6 + 336 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a super-2 number, since 2×1302234876633602 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 130223487663297 and 130223487663306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 110265441970 + ... + 110265443150.

It is an arithmetic number, because the mean of its divisors is an integer number (142660440384).

Almost surely, 2130223487663360 is an apocalyptic number.

130223487663360 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 130223487663360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308146551229440).

130223487663360 is an abundant number, since it is smaller than the sum of its proper divisors (486069614795520).

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

130223487663360 is a wasteful number, since it uses less digits than its factorization.

130223487663360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1307 (or 1271 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 54.

The spelling of 130223487663360 in words is "one hundred thirty trillion, two hundred twenty-three billion, four hundred eighty-seven million, six hundred sixty-three thousand, three hundred sixty".