Search a number
-
+
1133211210000 = 24354371516761
BaseRepresentation
bin10000011111011000101…
…001101101000100010000
311000100000102211001002120
4100133120221231010100
5122031304032210000
62224331241014240
7144605013232452
oct20373051550420
94010012731076
101133211210000
113a7657204691
1216375a184380
1382b2753541c
143cbc21b82d2
151e72648e6a0
hex107d8a6d110

1133211210000 has 400 divisors, whose sum is σ = 3782466323328. Its totient is φ = 292032000000.

The previous prime is 1133211209969. The next prime is 1133211210041. The reversal of 1133211210000 is 121123311.

It is a happy number.

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 (15).

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 79 ways as a sum of consecutive naturals, for example, 167606620 + ... + 167613380.

Almost surely, 21133211210000 is an apocalyptic number.

1133211210000 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 1133211210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1891233161664).

1133211210000 is an abundant number, since it is smaller than the sum of its proper divisors (2649255113328).

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

1133211210000 is a wasteful number, since it uses less digits than its factorization.

1133211210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6980 (or 6959 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 1133211210000 its reverse (121123311), we get a palindrome (1133332333311).

The spelling of 1133211210000 in words is "one trillion, one hundred thirty-three billion, two hundred eleven million, two hundred ten thousand".