Search a number
-
+
2000123110200 = 23352171789109609
BaseRepresentation
bin11101000110110000101…
…000001010001100111000
321002012200000111111102010
4131012300220022030320
5230232223004011300
64130502135405520
7264334625631645
oct35066050121470
97065600444363
102000123110200
1170127a397356
122837792238a0
131167c2c09b47
146cb40d78dcc
1537063be9a50
hex1d1b0a0a338

2000123110200 has 192 divisors, whose sum is σ = 6568839612000. Its totient is φ = 501706506240.

The previous prime is 2000123110189. The next prime is 2000123110229. The reversal of 2000123110200 is 20113210002.

It is a super-2 number, since 2×20001231102002 (a number of 25 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18192996 + ... + 18302604.

Almost surely, 22000123110200 is an apocalyptic number.

2000123110200 is a gapful number since it is divisible by the number (20) 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 2000123110200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3284419806000).

2000123110200 is an abundant number, since it is smaller than the sum of its proper divisors (4568716501800).

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

2000123110200 is a wasteful number, since it uses less digits than its factorization.

2000123110200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111434 (or 111425 counting only the distinct ones).

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

Adding to 2000123110200 its reverse (20113210002), we get a palindrome (2020236320202).

It can be divided in two parts, 20001 and 23110200, that added together give a triangular number (23130201 = T6801).

The spelling of 2000123110200 in words is "two trillion, one hundred twenty-three million, one hundred ten thousand, two hundred".