Search a number
-
+
10233001110 = 2353143833083
BaseRepresentation
bin10011000011110111…
…10011010010010110
3222102011012022120010
421201323303102112
5131424122013420
64411224421050
7511404034323
oct114173632226
928364168503
1010233001110
114381298212
121b97017786
13c7105a757
146d1095b4a
153ed5854e0
hex261ef3496

10233001110 has 128 divisors (see below), whose sum is σ = 26262061056. Its totient is φ = 2547457920.

The previous prime is 10233001109. The next prime is 10233001157. The reversal of 10233001110 is 1110033201.

It is a super-2 number, since 2×102330011102 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3317629 + ... + 3320711.

It is an arithmetic number, because the mean of its divisors is an integer number (205172352).

Almost surely, 210233001110 is an apocalyptic number.

10233001110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10233001110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13131030528).

10233001110 is an abundant number, since it is smaller than the sum of its proper divisors (16029059946).

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

10233001110 is a wasteful number, since it uses less digits than its factorization.

10233001110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3250.

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 10233001110 its reverse (1110033201), we get a palindrome (11343034311).

The spelling of 10233001110 in words is "ten billion, two hundred thirty-three million, one thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 30 31 43 62 83 86 93 129 155 166 186 215 249 258 310 415 430 465 498 645 830 930 1245 1290 1333 2490 2573 2666 3083 3569 3999 5146 6166 6665 7138 7719 7998 9249 10707 12865 13330 15415 15438 17845 18498 19995 21414 25730 30830 35690 38595 39990 46245 53535 77190 92490 95573 107070 110639 132569 191146 221278 255889 265138 286719 331917 397707 477865 511778 553195 573438 662845 663834 767667 795414 955730 1106390 1279445 1325690 1433595 1535334 1659585 1988535 2558890 2867190 3319170 3838335 3977070 4109639 7676670 7932559 8219278 11003227 12328917 15865118 20548195 22006454 23797677 24657834 33009681 39662795 41096390 47595354 55016135 61644585 66019362 79325590 110032270 118988385 123289170 165048405 237976770 330096810 341100037 682200074 1023300111 1705500185 2046600222 3411000370 5116500555 10233001110