Search a number
-
+
1102221120000 = 29354711133137
BaseRepresentation
bin10000000010100001011…
…111111001001000000000
310220101000200111100120110
4100002201133321020000
5121024322101320000
62202204155511320
7142430031636030
oct20024137711000
93811020440513
101102221120000
113954a40a6360
1215974b758540
137cc28cc2a70
143b4c24818c0
151da10990850
hex100a17f9200

1102221120000 has 3200 divisors, whose sum is σ = 5222993707008. Its totient is φ = 199065600000.

The previous prime is 1102221119959. The next prime is 1102221120001. The reversal of 1102221120000 is 211222011.

It is a tau number, because it is divible by the number of its divisors (3200).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1102221120001) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 29789759982 + ... + 29789760018.

Almost surely, 21102221120000 is an apocalyptic number.

1102221120000 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 1102221120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2611496853504).

1102221120000 is an abundant number, since it is smaller than the sum of its proper divisors (4120772587008).

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

1102221120000 is a wasteful number, since it uses less digits than its factorization.

1102221120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 109 counting only the distinct ones).

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

Adding to 1102221120000 its reverse (211222011), we get a palindrome (1102432342011).

It can be divided in two parts, 1102221 and 120000, that added together give a palindrome (1222221).

The spelling of 1102221120000 in words is "one trillion, one hundred two billion, two hundred twenty-one million, one hundred twenty thousand".