Search a number
-
+
1110221001120 = 253571183361909
BaseRepresentation
bin10000001001111110010…
…101000001000110100000
310221010200012200102101210
4100021332111001012200
5121142213034013440
62210010053030120
7143132211542430
oct20117625010640
93833605612353
101110221001120
113989298a2460
1215b202925340
13809024c3a2a
143ba40b182c0
151dd2ce65a80
hex1027e5411a0

1110221001120 has 384 divisors, whose sum is σ = 4412684666880. Its totient is φ = 227915182080.

The previous prime is 1110221001103. The next prime is 1110221001137. The reversal of 1110221001120 is 211001220111.

It is an interprime number because it is at equal distance from previous prime (1110221001103) and next prime (1110221001137).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1110221001096 and 1110221001105.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2886726 + ... + 3248634.

It is an arithmetic number, because the mean of its divisors is an integer number (11491366320).

Almost surely, 21110221001120 is an apocalyptic number.

1110221001120 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 1110221001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2206342333440).

1110221001120 is an abundant number, since it is smaller than the sum of its proper divisors (3302463665760).

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

1110221001120 is a wasteful number, since it uses less digits than its factorization.

1110221001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362028 (or 362020 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1110221001120 its reverse (211001220111), we get a palindrome (1321222221231).

The spelling of 1110221001120 in words is "one trillion, one hundred ten billion, two hundred twenty-one million, one thousand, one hundred twenty".