Search a number
-
+
15009052101120 = 293457117379163
BaseRepresentation
bin1101101001101001000100…
…1110000000101000000000
31222010211222122110202120000
43122122101032000220000
53431402014314213440
651531021403320000
73106240205606010
oct332322116005000
958124878422500
1015009052101120
114867337698090
121824a31220000
1384b46971262c
1439c628badc40
151b06471d3730
hexda691380a00

15009052101120 has 3200 divisors, whose sum is σ = 69222780887040. Its totient is φ = 3018471505920.

The previous prime is 15009052101103. The next prime is 15009052101181. The reversal of 15009052101120 is 2110125090051.

15009052101120 is a `hidden beast` number, since 1 + 50 + 0 + 90 + 521 + 0 + 1 + 1 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 92080074159 + ... + 92080074321.

Almost surely, 215009052101120 is an apocalyptic number.

15009052101120 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 15009052101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34611390443520).

15009052101120 is an abundant number, since it is smaller than the sum of its proper divisors (54213728785920).

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

15009052101120 is a wasteful number, since it uses less digits than its factorization.

15009052101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 27.

Adding to 15009052101120 its reverse (2110125090051), we get a palindrome (17119177191171).

The spelling of 15009052101120 in words is "fifteen trillion, nine billion, fifty-two million, one hundred one thousand, one hundred twenty".