Search a number
-
+
1120101022200 = 233523764777983
BaseRepresentation
bin10000010011001011001…
…110010011100111111000
310222002011202200111101110
4100103023032103213320
5121322431330202300
62214322312120320
7143632101411546
oct20231316234770
93862152614343
101120101022200
113a203990a536
121610bb6960a0
1381818393a54
143c2dad68d96
151e20a524550
hex104cb3939f8

1120101022200 has 192 divisors, whose sum is σ = 3571717109760. Its totient is φ = 290167902720.

The previous prime is 1120101022171. The next prime is 1120101022211. The reversal of 1120101022200 is 22201010211.

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 47 ways as a sum of consecutive naturals, for example, 14324409 + ... + 14402391.

It is an arithmetic number, because the mean of its divisors is an integer number (18602693280).

Almost surely, 21120101022200 is an apocalyptic number.

1120101022200 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 1120101022200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1785858554880).

1120101022200 is an abundant number, since it is smaller than the sum of its proper divisors (2451616087560).

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

1120101022200 is a wasteful number, since it uses less digits than its factorization.

1120101022200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78686 (or 78677 counting only the distinct ones).

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

Adding to 1120101022200 its reverse (22201010211), we get a palindrome (1142302032411).

The spelling of 1120101022200 in words is "one trillion, one hundred twenty billion, one hundred one million, twenty-two thousand, two hundred".