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21122112023233 = 138234099481633
BaseRepresentation
bin1001100110101110111111…
…11110111110101011000001
32202210020212022012102211221
410303113133332332223001
510232031041134220413
6112531210405035041
74310010424604314
oct463273776765301
982706768172757
1021122112023233
1168039236483a1
1224517346b5a81
13ba2a641a4210
1453045c30697b
1526967bbe268d
hex1335dffbeac1

21122112023233 has 16 divisors (see below), whose sum is σ = 22780132278400. Its totient is φ = 19468852360704.

The previous prime is 21122112023183. The next prime is 21122112023273. The reversal of 21122112023233 is 33232021122112.

It is a cyclic number.

It is not a de Polignac number, because 21122112023233 - 213 = 21122112015041 is a prime.

It is a super-2 number, since 2×211221120232332 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 21122112023198 and 21122112023207.

It is not an unprimeable number, because it can be changed into a prime (21122112023273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43614385 + ... + 44096017.

It is an arithmetic number, because the mean of its divisors is an integer number (1423758267400).

Almost surely, 221122112023233 is an apocalyptic number.

It is an amenable number.

21122112023233 is a deficient number, since it is larger than the sum of its proper divisors (1658020255167).

21122112023233 is a wasteful number, since it uses less digits than its factorization.

21122112023233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486568.

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 21122112023233 its reverse (33232021122112), we get a palindrome (54354133145345).

The spelling of 21122112023233 in words is "twenty-one trillion, one hundred twenty-two billion, one hundred twelve million, twenty-three thousand, two hundred thirty-three".

Divisors: 1 13 823 4099 10699 53287 481633 3373477 6261229 43855201 396383959 1974213667 5152991467 25664777671 1624777847941 21122112023233