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23201113110 = 23574312720231
BaseRepresentation
bin10101100110111001…
…001110010000010110
32012212220222122220120
4111212321032100112
5340003441104420
614354120212410
71450642131120
oct254671162026
965786878816
1023201113110
11992647274a
1245b600a106
132259945cc6
1411a14c0210
1590bcd8d40
hex566e4e416

23201113110 has 128 divisors (see below), whose sum is σ = 65633255424. Its totient is φ = 5138743680.

The previous prime is 23201113109. The next prime is 23201113147. The reversal of 23201113110 is 1131110232.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 23201113110.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1136695 + ... + 1156925.

It is an arithmetic number, because the mean of its divisors is an integer number (512759808).

Almost surely, 223201113110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23201113110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32816627712).

23201113110 is an abundant number, since it is smaller than the sum of its proper divisors (42432142314).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23201113110 is a wasteful number, since it uses less digits than its factorization.

23201113110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20418.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 23201113110 its reverse (1131110232), we get a palindrome (24332223342).

The spelling of 23201113110 in words is "twenty-three billion, two hundred one million, one hundred thirteen thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 43 70 86 105 127 129 210 215 254 258 301 381 430 602 635 645 762 889 903 1270 1290 1505 1778 1806 1905 2667 3010 3810 4445 4515 5334 5461 8890 9030 10922 13335 16383 20231 26670 27305 32766 38227 40462 54610 60693 76454 81915 101155 114681 121386 141617 163830 191135 202310 229362 283234 303465 382270 424851 573405 606930 708085 849702 869933 1146810 1416170 1739866 2124255 2569337 2609799 4248510 4349665 5138674 5219598 6089531 7708011 8699330 12179062 12846685 13048995 15416022 17985359 18268593 25693370 26097990 30447655 35970718 36537186 38540055 53956077 60895310 77080110 89926795 91342965 107912154 110481491 179853590 182685930 220962982 269780385 331444473 539560770 552407455 662888946 773370437 1104814910 1546740874 1657222365 2320111311 3314444730 3866852185 4640222622 7733704370 11600556555 23201113110