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1121133230010 = 23251753101136889
BaseRepresentation
bin10000010100001000101…
…111110111011110111010
310222011211200222002022100
4100110020233313132322
5121332040101330020
62215012544004230
7143666504135013
oct20241057673672
93864750862270
101121133230010
113a2519531542
12161349300676
1381951199ac1
143c39809c00a
151e26ae68a90
hex10508bf77ba

1121133230010 has 192 divisors, whose sum is σ = 3175806385440. Its totient is φ = 273337958400.

The previous prime is 1121133230003. The next prime is 1121133230011. The reversal of 1121133230010 is 100323311211.

1121133230010 is a `hidden beast` number, since 1 + 1 + 21 + 1 + 332 + 300 + 10 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 445848662961 + 675284567049 = 667719^2 + 821757^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1121133230011) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8121646 + ... + 8258534.

Almost surely, 21121133230010 is an apocalyptic number.

1121133230010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1121133230010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1587903192720).

1121133230010 is an abundant number, since it is smaller than the sum of its proper divisors (2054673155430).

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

1121133230010 is a wasteful number, since it uses less digits than its factorization.

1121133230010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137073 (or 137070 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1121133230010 its reverse (100323311211), we get a palindrome (1221456541221).

The spelling of 1121133230010 in words is "one trillion, one hundred twenty-one billion, one hundred thirty-three million, two hundred thirty thousand, ten".