Search a number
-
+
2002111122000 = 243531194132237
BaseRepresentation
bin11101001000100111000…
…111110100101001010000
321002101210120021221220210
4131020213013310221100
5230300310421401000
64131431313404120
7264435115513503
oct35104707645120
97071716257823
102002111122000
117020aa596010
12284032b69640
13116a4ba476a2
146cc8cdd313a
153712d4e0350
hex1d2271f4a50

2002111122000 has 320 divisors, whose sum is σ = 7049308601088. Its totient is φ = 484829440000.

The previous prime is 2002111121977. The next prime is 2002111122023. The reversal of 2002111122000 is 2211112002.

It is an interprime number because it is at equal distance from previous prime (2002111121977) and next prime (2002111122023).

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 (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 62089882 + ... + 62122118.

Almost surely, 22002111122000 is an apocalyptic number.

2002111122000 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 2002111122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3524654300544).

2002111122000 is an abundant number, since it is smaller than the sum of its proper divisors (5047197479088).

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

2002111122000 is a wasteful number, since it uses less digits than its factorization.

2002111122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33215 (or 33199 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2002111122000 its reverse (2211112002), we get a palindrome (2004322234002).

The spelling of 2002111122000 in words is "two trillion, two billion, one hundred eleven million, one hundred twenty-two thousand".