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1140000311220 = 22351916319930829
BaseRepresentation
bin10000100101101101010…
…100000100011110110100
311000222112120201010010220
4100211231110010132310
5122134210034424340
62231413043014340
7145235161522461
oct20455524043664
94028476633126
101140000311220
113aa520501941
12164b3396a3b0
1383669c39394
143d267b16668
151e9c24e9ed0
hex1096d5047b4

1140000311220 has 192 divisors, whose sum is σ = 3397712640000. Its totient is φ = 284785611264.

The previous prime is 1140000311189. The next prime is 1140000311227. The reversal of 1140000311220 is 221130000411.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1140000311220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1140000311227) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36962766 + ... + 36993594.

It is an arithmetic number, because the mean of its divisors is an integer number (17696420000).

Almost surely, 21140000311220 is an apocalyptic number.

1140000311220 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 1140000311220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1698856320000).

1140000311220 is an abundant number, since it is smaller than the sum of its proper divisors (2257712328780).

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

1140000311220 is a wasteful number, since it uses less digits than its factorization.

1140000311220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31222 (or 31220 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 1140000311220 its reverse (221130000411), we get a palindrome (1361130311631).

The spelling of 1140000311220 in words is "one trillion, one hundred forty billion, three hundred eleven thousand, two hundred twenty".