Search a number
-
+
113001023010000 = 24354101102136527
BaseRepresentation
bin11001101100011000011001…
…110101011111010011010000
3112211002210101120210100110110
4121230120121311133103100
5104302402043342310000
61040155541530001320
732542024456311246
oct3154303165372320
9484083346710413
10113001023010000
1133007512616484
1210810431b76240
134b08c48a36a08
141dc93c8a54796
15d0e638b80850
hex66c619d5f4d0

113001023010000 has 400 divisors, whose sum is σ = 368764988030208. Its totient is φ = 29805216000000.

The previous prime is 113001023009983. The next prime is 113001023010067. The reversal of 113001023010000 is 10320100311.

It is a tau number, because it is divible by the number of its divisors (400).

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, 3093611737 + ... + 3093648263.

Almost surely, 2113001023010000 is an apocalyptic number.

113001023010000 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 113001023010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184382494015104).

113001023010000 is an abundant number, since it is smaller than the sum of its proper divisors (255763965020208).

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

113001023010000 is a wasteful number, since it uses less digits than its factorization.

113001023010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37680 (or 37659 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 113001023010000 its reverse (10320100311), we get a palindrome (113011343110311).

The spelling of 113001023010000 in words is "one hundred thirteen trillion, one billion, twenty-three million, ten thousand".