Search a number
-
+
15102431005200 = 24352711533083891
BaseRepresentation
bin1101101111000100111100…
…0010010000101000010000
31222110210000101100120200220
43123301033002100220100
53434414234314131300
652041543325313040
73116054214314610
oct333611702205020
958423011316626
1015102431005200
1148a29a5645890
12183ab51705780
138571cb582526
143a2d66746a40
151b2caeeebda0
hexdbc4f090a10

15102431005200 has 480 divisors, whose sum is σ = 61453628716032. Its totient is φ = 3078955776000.

The previous prime is 15102431005183. The next prime is 15102431005223. The reversal of 15102431005200 is 250013420151.

It is a happy number.

It is a super-3 number, since 3×151024310052003 (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 3355255 + ... + 6439145.

Almost surely, 215102431005200 is an apocalyptic number.

15102431005200 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 15102431005200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30726814358016).

15102431005200 is an abundant number, since it is smaller than the sum of its proper divisors (46351197710832).

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

15102431005200 is a wasteful number, since it uses less digits than its factorization.

15102431005200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3083983 (or 3083972 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

Adding to 15102431005200 its reverse (250013420151), we get a palindrome (15352444425351).

The spelling of 15102431005200 in words is "fifteen trillion, one hundred two billion, four hundred thirty-one million, five thousand, two hundred".