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211001011023 = 311232351118247
BaseRepresentation
bin1100010010000010100…
…0111110101101001111
3202011122000121221121010
43010200220332231033
511424112224323043
6240533231540303
721146542000305
oct3044050765517
9664560557533
10211001011023
118153762a650
1234a8798a693
1316b8850ba5a
14a2d9176275
15574e163133
hex3120a3eb4f

211001011023 has 32 divisors (see below), whose sum is σ = 320393428992. Its totient is φ = 122266364000.

The previous prime is 211001010971. The next prime is 211001011031. The reversal of 211001011023 is 320110100112.

211001011023 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 211001011023 - 230 = 209927269199 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211001011033) 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 31 ways as a sum of consecutive naturals, for example, 1725286 + ... + 1843532.

It is an arithmetic number, because the mean of its divisors is an integer number (10012294656).

Almost surely, 2211001011023 is an apocalyptic number.

211001011023 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

211001011023 is a deficient number, since it is larger than the sum of its proper divisors (109392417969).

211001011023 is a wasteful number, since it uses less digits than its factorization.

211001011023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120635.

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 211001011023 its reverse (320110100112), we get a palindrome (531111111135).

The spelling of 211001011023 in words is "two hundred eleven billion, one million, eleven thousand, twenty-three".

Divisors: 1 3 11 23 33 69 253 759 2351 7053 25861 54073 77583 118247 162219 354741 594803 1300717 1784409 2719681 3902151 8159043 29916491 89749473 277998697 833996091 3057985667 6393970031 9173957001 19181910093 70333670341 211001011023