Search a number
-
+
110130201331000 = 23534753181244261
BaseRepresentation
bin11001000010100110101111…
…100001111000010100111000
3112102221100022002022200221121
4121002212233201320110320
5103413333123020043000
61030121041022115024
732124434024544004
oct3102465741702470
9472840262280847
10110130201331000
11320aaa57621284
1210427b7971ba74
13495b305aa8056
141d2a48a057704
15caeb15094b1a
hex6429af878538

110130201331000 has 256 divisors, whose sum is σ = 269636171051520. Its totient is φ = 42067434240000.

The previous prime is 110130201330983. The next prime is 110130201331019. The reversal of 110130201331000 is 133102031011.

It is a super-2 number, since 2×1101302013310002 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 450748870 + ... + 450993130.

It is an arithmetic number, because the mean of its divisors is an integer number (1053266293170).

Almost surely, 2110130201331000 is an apocalyptic number.

110130201331000 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 110130201331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134818085525760).

110130201331000 is an abundant number, since it is smaller than the sum of its proper divisors (159505969720520).

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

110130201331000 is a wasteful number, since it uses less digits than its factorization.

110130201331000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244563 (or 244549 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 110130201331000 its reverse (133102031011), we get a palindrome (110263303362011).

The spelling of 110130201331000 in words is "one hundred ten trillion, one hundred thirty billion, two hundred one million, three hundred thirty-one thousand".