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11220122122002 = 232623340117889
BaseRepresentation
bin1010001101000110001101…
…1001001011011100010010
31110201122002121021001221200
42203101203121023130102
52432312302230401002
635510241500332030
72235425041304133
oct243214331133422
943648077231850
1011220122122002
113636477480202
121312650244016
1363508c5088a1
142ab0b1c4bc8a
15146cdb46db1c
hexa346364b712

11220122122002 has 12 divisors (see below), whose sum is σ = 24310264597710. Its totient is φ = 3740040707328.

The previous prime is 11220122121991. The next prime is 11220122122049. The reversal of 11220122122002 is 20022122102211.

It is a happy number.

11220122122002 is a `hidden beast` number, since 1 + 1 + 220 + 1 + 221 + 220 + 0 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10151609173281 + 1068512948721 = 3186159^2 + 1033689^2 .

It is a super-2 number, since 2×112201221220022 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 623340117889 = 11220122122002 / (1 + 1 + 2 + 2 + 0 + 1 + 2 + 2 + 1 + 2 + 2 + 0 + 0 + 2).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 311670058927 + ... + 311670058962.

Almost surely, 211220122122002 is an apocalyptic number.

11220122122002 is an abundant number, since it is smaller than the sum of its proper divisors (13090142475708).

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

11220122122002 is a wasteful number, since it uses less digits than its factorization.

11220122122002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623340117897 (or 623340117894 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 11220122122002 its reverse (20022122102211), we get a palindrome (31242244224213).

The spelling of 11220122122002 in words is "eleven trillion, two hundred twenty billion, one hundred twenty-two million, one hundred twenty-two thousand, two".

Divisors: 1 2 3 6 9 18 623340117889 1246680235778 1870020353667 3740040707334 5610061061001 11220122122002