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23211031233 = 31323314120359
BaseRepresentation
bin10101100111011111…
…000011101011000001
32012220121122120000110
4111213133003223001
5340014010444413
614355112541533
71451122336665
oct254737035301
965817576013
1023211031233
119931027345
1245b93b18a9
13225ba09510
1411a29428a5
1590cae78c3
hex5677c3ac1

23211031233 has 64 divisors (see below), whose sum is σ = 36777000960. Its totient is φ = 12898828800.

The previous prime is 23211031219. The next prime is 23211031241. The reversal of 23211031233 is 33213011232.

It is not a de Polignac number, because 23211031233 - 210 = 23211030209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (23211031213) 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 63 ways as a sum of consecutive naturals, for example, 1129908 + ... + 1150266.

It is an arithmetic number, because the mean of its divisors is an integer number (574640640).

Almost surely, 223211031233 is an apocalyptic number.

23211031233 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

23211031233 is a deficient number, since it is larger than the sum of its proper divisors (13565969727).

23211031233 is a wasteful number, since it uses less digits than its factorization.

23211031233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20470.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 23211031233 its reverse (33213011232), we get a palindrome (56424042465).

The spelling of 23211031233 in words is "twenty-three billion, two hundred eleven million, thirty-one thousand, two hundred thirty-three".

Divisors: 1 3 13 23 31 39 41 69 93 123 299 403 533 713 897 943 1209 1271 1599 2139 2829 3813 9269 12259 16523 20359 27807 29233 36777 49569 61077 87699 264667 380029 468257 631129 794001 834719 1140087 1404771 1893387 2504157 6087341 8204677 10851347 14515967 18262023 19198537 24614031 25876289 32554041 43547901 57595611 77628867 188707571 249580981 336391757 566122713 595154647 748742943 1009175271 1785463941 7737010411 23211031233