Search a number
-
+
1131020033120 = 25579257397877
BaseRepresentation
bin10000011101010110000…
…011000001110001100000
311000010100201201201111022
4100131112003001301200
5122012312112024440
62223330004305012
7144466505441615
oct20352603016140
94003321651438
101131020033120
113a6732360aaa
121632483a2168
13828685a2a63
143ca5519650c
151e648e16cb5
hex107560c1c60

1131020033120 has 192 divisors, whose sum is σ = 2726334132480. Its totient is φ = 443316436992.

The previous prime is 1131020033057. The next prime is 1131020033137. The reversal of 1131020033120 is 213300201311.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1289646122 + ... + 1289646998.

It is an arithmetic number, because the mean of its divisors is an integer number (14199656940).

Almost surely, 21131020033120 is an apocalyptic number.

1131020033120 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 1131020033120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1363167066240).

1131020033120 is an abundant number, since it is smaller than the sum of its proper divisors (1595314099360).

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

1131020033120 is a wasteful number, since it uses less digits than its factorization.

1131020033120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1625 (or 1617 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 1131020033120 its reverse (213300201311), we get a palindrome (1344320234431).

The spelling of 1131020033120 in words is "one trillion, one hundred thirty-one billion, twenty million, thirty-three thousand, one hundred twenty".