Search a number
-
+
11232831120 = 2435722329983
BaseRepresentation
bin10100111011000011…
…10110011010010000
31001222211112221111020
422131201312122100
5141001101043440
65054342315440
7545234326530
oct123541663220
931884487436
1011232831120
114844705305
122215a28b80
1310a0238444
14787b9b4c0
1545b2313d0
hex29d876690

11232831120 has 160 divisors (see below), whose sum is σ = 39976108032. Its totient is φ = 2555905536.

The previous prime is 11232831109. The next prime is 11232831157. The reversal of 11232831120 is 2113823211.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 359649 + ... + 389631.

Almost surely, 211232831120 is an apocalyptic number.

11232831120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11232831120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19988054016).

11232831120 is an abundant number, since it is smaller than the sum of its proper divisors (28743276912).

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

11232831120 is a wasteful number, since it uses less digits than its factorization.

11232831120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30229 (or 30223 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The spelling of 11232831120 in words is "eleven billion, two hundred thirty-two million, eight hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 223 240 280 336 420 446 560 669 840 892 1115 1338 1561 1680 1784 2230 2676 3122 3345 3568 4460 4683 5352 6244 6690 7805 8920 9366 10704 12488 13380 15610 17840 18732 23415 24976 26760 29983 31220 37464 46830 53520 59966 62440 74928 89949 93660 119932 124880 149915 179898 187320 209881 239864 299830 359796 374640 419762 449745 479728 599660 629643 719592 839524 899490 1049405 1199320 1259286 1439184 1679048 1798980 2098810 2398640 2518572 3148215 3358096 3597960 4197620 5037144 6296430 6686209 7195920 8395240 10074288 12592860 13372418 16790480 20058627 25185720 26744836 33431045 40117254 46803463 50371440 53489672 66862090 80234508 93606926 100293135 106979344 133724180 140410389 160469016 187213852 200586270 234017315 267448360 280820778 320938032 374427704 401172540 468034630 534896720 561641556 702051945 748855408 802345080 936069260 1123283112 1404103890 1604690160 1872138520 2246566224 2808207780 3744277040 5616415560 11232831120