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113770020000 = 2535471367311
BaseRepresentation
bin110100111110100111…
…0001011110010100000
3101212122211100211120110
41221331032023302200
53331000111120000
6124133142211320
711135220133260
oct1517516136240
9355584324513
10113770020000
1144282234a1a
121a071423b40
13a961598480
145713b8d7a0
152e5d090850
hex1a7d38bca0

113770020000 has 960 divisors, whose sum is σ = 467663099904. Its totient is φ = 23569920000.

The previous prime is 113770019947. The next prime is 113770020011. The reversal of 113770020000 is 20077311.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 365819845 + ... + 365820155.

Almost surely, 2113770020000 is an apocalyptic number.

113770020000 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 113770020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233831549952).

113770020000 is an abundant number, since it is smaller than the sum of its proper divisors (353893079904).

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

113770020000 is a wasteful number, since it uses less digits than its factorization.

113770020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 294, while the sum is 21.

Adding to 113770020000 its reverse (20077311), we get a palindrome (113790097311).

The spelling of 113770020000 in words is "one hundred thirteen billion, seven hundred seventy million, twenty thousand".