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211223012122031 = 71323293479958023
BaseRepresentation
bin110000000001101100110000…
…100110110001110110101111
31000200212201111212221100021012
4300001230300212301312233
5210141134212100401111
62025122302344455435
762330234101333010
oct6001546046616657
91020781455840235
10211223012122031
11613361a3852328
121b83452747a57b
1390b2324446950
143a23369603007
1519645de0c448b
hexc01b309b1daf

211223012122031 has 32 divisors (see below), whose sum is σ = 280623815055360. Its totient is φ = 154343098191744.

The previous prime is 211223012121997. The next prime is 211223012122069. The reversal of 211223012122031 is 130221210322112.

It is not a de Polignac number, because 211223012122031 - 210 = 211223012121007 is a prime.

It is a super-2 number, since 2×2112230121220312 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 211223012121988 and 211223012122006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211223012122831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1739918315 + ... + 1740039708.

It is an arithmetic number, because the mean of its divisors is an integer number (8769494220480).

Almost surely, 2211223012122031 is an apocalyptic number.

211223012122031 is a deficient number, since it is larger than the sum of its proper divisors (69400802933329).

211223012122031 is a wasteful number, since it uses less digits than its factorization.

211223012122031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3479958095.

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 211223012122031 its reverse (130221210322112), we get a palindrome (341444222444143).

The spelling of 211223012122031 in words is "two hundred eleven trillion, two hundred twenty-three billion, twelve million, one hundred twenty-two thousand, thirty-one".

Divisors: 1 7 13 23 29 91 161 203 299 377 667 2093 2639 4669 8671 60697 3479958023 24359706161 45239454299 80039034529 100918782667 316676180093 560273241703 706431478669 1040507448877 1311944174671 2321132001341 7283552142139 9183609222697 16247924009387 30174716017433 211223012122031