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1102201222122 = 23371113195320249
BaseRepresentation
bin10000000010100000010…
…011111111001111101010
310220100222022001102211000
4100002200103333033222
5121024302003101442
62202202205215430
7142426400543520
oct20024023771752
93810868042730
101102201222122
11395493945830
12159744b61576
137cc24b46c80
143b4bd982310
151da0dd5ed4c
hex100a04ff3ea

1102201222122 has 512 divisors, whose sum is σ = 3527193600000. Its totient is φ = 245619578880.

The previous prime is 1102201222121. The next prime is 1102201222163. The reversal of 1102201222122 is 2212221022011.

It is a happy number.

1102201222122 is a `hidden beast` number, since 110 + 220 + 122 + 212 + 2 = 666.

It is a super-3 number, since 3×11022012221223 (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1102201222095 and 1102201222104.

It is not an unprimeable number, because it can be changed into a prime (1102201222121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 54422254 + ... + 54442502.

It is an arithmetic number, because the mean of its divisors is an integer number (6889050000).

Almost surely, 21102201222122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1102201222122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1763596800000).

1102201222122 is an abundant number, since it is smaller than the sum of its proper divisors (2424992377878).

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

1102201222122 is a wasteful number, since it uses less digits than its factorization.

1102201222122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20363 (or 20357 counting only the distinct ones).

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

Adding to 1102201222122 its reverse (2212221022011), we get a palindrome (3314422244133).

The spelling of 1102201222122 in words is "one trillion, one hundred two billion, two hundred one million, two hundred twenty-two thousand, one hundred twenty-two".