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111221002200000 = 263557115994019
BaseRepresentation
bin11001010010011110101000…
…010100111110001111000000
3112120210121211212121012021210
4121102132220110332033000
5104034221103030400000
61032314120102250120
732266311055132440
oct3122365024761700
9476717755535253
10111221002200000
1132490620241a70
1210583460726940
134a0a131a91434
141d671a78b2120
15ccd1a8132350
hex6527a853e3c0

111221002200000 has 1344 divisors, whose sum is σ = 459456592896000. Its totient is φ = 23066534400000.

The previous prime is 111221002199959. The next prime is 111221002200001. The reversal of 111221002200000 is 2200122111.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×1112210022000002 (a number of 29 digits) contains 22 as substring.

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 (111221002200001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 27673797991 + ... + 27673802009.

It is an arithmetic number, because the mean of its divisors is an integer number (341857584000).

Almost surely, 2111221002200000 is an apocalyptic number.

111221002200000 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 111221002200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229728296448000).

111221002200000 is an abundant number, since it is smaller than the sum of its proper divisors (348235590696000).

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

111221002200000 is an equidigital number, since it uses as much as digits as its factorization.

111221002200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4676 (or 4646 counting only the distinct ones).

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

Adding to 111221002200000 its reverse (2200122111), we get a palindrome (111223202322111).

The spelling of 111221002200000 in words is "one hundred eleven trillion, two hundred twenty-one billion, two million, two hundred thousand".