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22312200212001 = 327354161908127
BaseRepresentation
bin1010001001010111101101…
…10001001000111000100001
32221000000200121002100221200
411010223312301020320201
510411030341223241001
6115242025553111413
74462001056365450
oct504536661107041
987000617070850
1022312200212001
117122607383a57
122604306858569
13c5b05413b15b
14571cb82a6b97
1528a5d1640086
hex144af6c48e21

22312200212001 has 12 divisors (see below), whose sum is σ = 36832838445312. Its totient is φ = 12749828692536.

The previous prime is 22312200211997. The next prime is 22312200212017. The reversal of 22312200212001 is 10021200221322.

22312200212001 is a `hidden beast` number, since 2 + 231 + 220 + 0 + 212 + 0 + 0 + 1 = 666.

It is not a de Polignac number, because 22312200212001 - 22 = 22312200211997 is a prime.

It is a super-3 number, since 3×223122002120013 (a number of 41 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (22312200212501) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 177080954001 + ... + 177080954126.

It is an arithmetic number, because the mean of its divisors is an integer number (3069403203776).

Almost surely, 222312200212001 is an apocalyptic number.

22312200212001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

22312200212001 is a deficient number, since it is larger than the sum of its proper divisors (14520638233311).

22312200212001 is a wasteful number, since it uses less digits than its factorization.

22312200212001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354161908140 (or 354161908137 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 22312200212001 its reverse (10021200221322), we get a palindrome (32333400433323).

The spelling of 22312200212001 in words is "twenty-two trillion, three hundred twelve billion, two hundred million, two hundred twelve thousand, one".

Divisors: 1 3 7 9 21 63 354161908127 1062485724381 2479133356889 3187457173143 7437400070667 22312200212001