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211123213013 = 23293187916673
BaseRepresentation
bin1100010010011111101…
…1001001001011010101
3202011221112120110012202
43010213323021023111
511424340020304023
6240553315054245
721152554462316
oct3044773111325
9664845513182
10211123213013
118159a605829
1234b008a1385
1316ba792701b
14a30b4a660d
155759c51128
hex3127ec92d5

211123213013 has 16 divisors (see below), whose sum is σ = 221185278720. Its totient is φ = 201135542784.

The previous prime is 211123213001. The next prime is 211123213031. The reversal of 211123213013 is 310312321112.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 211123213013 - 28 = 211123212757 is a prime.

It is a super-2 number, since 2×2111232130132 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211123213813) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12654245 + ... + 12670917.

It is an arithmetic number, because the mean of its divisors is an integer number (13824079920).

Almost surely, 2211123213013 is an apocalyptic number.

211123213013 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

211123213013 is a deficient number, since it is larger than the sum of its proper divisors (10062065707).

211123213013 is a wasteful number, since it uses less digits than its factorization.

211123213013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18868.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 211123213013 its reverse (310312321112), we get a palindrome (521435534125).

The spelling of 211123213013 in words is "two hundred eleven billion, one hundred twenty-three million, two hundred thirteen thousand, thirteen".

Divisors: 1 23 293 1879 6739 16673 43217 383479 550547 4885189 12662581 31328567 112359347 720557041 9179270131 211123213013