Search a number
-
+
130200211020000 = 2535411238577089
BaseRepresentation
bin11101100110101010011001…
…010100111101100011100000
3122002000000111120100220021210
4131212222121110331203200
5114031200013010120000
61140525052354550120
736265440414251232
oct3546523124754340
9562000446326253
10130200211020000
1138538665898920
121272980b298340
135785a9a519564
142421a1c2d0252
15100bc16302350
hex766a9953d8e0

130200211020000 has 480 divisors, whose sum is σ = 486165380279040. Its totient is φ = 30191349760000.

The previous prime is 130200211019981. The next prime is 130200211020049. The reversal of 130200211020000 is 20112002031.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10891456 + ... + 19468544.

It is an arithmetic number, because the mean of its divisors is an integer number (1012844542248).

Almost surely, 2130200211020000 is an apocalyptic number.

130200211020000 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 130200211020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243082690139520).

130200211020000 is an abundant number, since it is smaller than the sum of its proper divisors (355965169259040).

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

130200211020000 is a wasteful number, since it uses less digits than its factorization.

130200211020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8577156 (or 8577133 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 130200211020000 its reverse (20112002031), we get a palindrome (130220323022031).

The spelling of 130200211020000 in words is "one hundred thirty trillion, two hundred billion, two hundred eleven million, twenty thousand".