Search a number
-
+
202212000111000 = 2335311101157386431
BaseRepresentation
bin101101111110100100100110…
…011011111001100110011000
3222111222021111222002101122110
4231332210212123321212120
5203001020134012023000
61554022524352352320
760410222604115125
oct5576444633714630
9874867458071573
10202212000111000
115948169a452340
121a81a0598456a0
1388aa6820155c9
1437d118220174c
151859ee8c84850
hexb7e9266f9998

202212000111000 has 512 divisors, whose sum is σ = 699499544739840. Its totient is φ = 48226464000000.

The previous prime is 202212000110971. The next prime is 202212000111029. The reversal of 202212000111000 is 111000212202.

It is an interprime number because it is at equal distance from previous prime (202212000110971) and next prime (202212000111029).

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 127 ways as a sum of consecutive naturals, for example, 523087785 + ... + 523474215.

It is an arithmetic number, because the mean of its divisors is an integer number (1366210048320).

Almost surely, 2202212000111000 is an apocalyptic number.

202212000111000 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 202212000111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349749772369920).

202212000111000 is an abundant number, since it is smaller than the sum of its proper divisors (497287544628840).

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

202212000111000 is a wasteful number, since it uses less digits than its factorization.

202212000111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386724 (or 386710 counting only the distinct ones).

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

Adding to 202212000111000 its reverse (111000212202), we get a palindrome (202323000323202).

The spelling of 202212000111000 in words is "two hundred two trillion, two hundred twelve billion, one hundred eleven thousand".