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11132253330 = 235111910117579
BaseRepresentation
bin10100101111000100…
…01011010010010010
31001201211022001200220
422113202023102102
5140244324101310
65040350453510
7542603410032
oct122742132222
931654261626
1011132253330
1147a2959770
1221a8204296
131085451963
147786998c2
154524b5670
hex29788b492

11132253330 has 128 divisors (see below), whose sum is σ = 30985804800. Its totient is φ = 2531232000.

The previous prime is 11132253289. The next prime is 11132253337. The reversal of 11132253330 is 3335223111.

It is a self number, because there is not a number n which added to its sum of digits gives 11132253330.

It is not an unprimeable number, because it can be changed into a prime (11132253337) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 624481 + ... + 642059.

It is an arithmetic number, because the mean of its divisors is an integer number (242076600).

Almost surely, 211132253330 is an apocalyptic number.

11132253330 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 11132253330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15492902400).

11132253330 is an abundant number, since it is smaller than the sum of its proper divisors (19853551470).

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

11132253330 is a wasteful number, since it uses less digits than its factorization.

11132253330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17720.

The product of its (nonzero) digits is 1620, while the sum is 24.

Adding to 11132253330 its reverse (3335223111), we get a palindrome (14467476441).

It can be divided in two parts, 11132 and 253330, that added together give a palindrome (264462).

The spelling of 11132253330 in words is "eleven billion, one hundred thirty-two million, two hundred fifty-three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 19 22 30 33 38 55 57 66 95 101 110 114 165 190 202 209 285 303 330 418 505 570 606 627 1010 1045 1111 1254 1515 1919 2090 2222 3030 3135 3333 3838 5555 5757 6270 6666 9595 11110 11514 16665 17579 19190 21109 28785 33330 35158 42218 52737 57570 63327 87895 105474 105545 126654 175790 193369 211090 263685 316635 334001 386738 527370 580107 633270 668002 966845 1002003 1160214 1670005 1775479 1933690 2004006 2900535 3340010 3550958 3674011 5010015 5326437 5801070 7348022 8877395 10020030 10652874 11022033 17754790 18370055 19530269 22044066 26632185 33734101 36740110 39060538 53264370 55110165 58590807 67468202 97651345 101202303 110220330 117181614 168670505 195302690 202404606 292954035 337341010 371075111 506011515 585908070 742150222 1012023030 1113225333 1855375555 2226450666 3710751110 5566126665 11132253330