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11233012320 = 2532523339161
BaseRepresentation
bin10100111011000101…
…00010101001100000
31001222211220011001100
422131202202221200
5141001122343240
65054350234400
7545236013025
oct123542425140
931884804040
1011233012320
114844819462
122215ab5a00
1310a029ca6a
14787c0754c
1545b269e30
hex29d8a2a60

11233012320 has 144 divisors (see below), whose sum is σ = 39999409632. Its totient is φ = 2865223680.

The previous prime is 11233012319. The next prime is 11233012339. The reversal of 11233012320 is 2321033211.

11233012320 is a `hidden beast` number, since 1 + 1 + 2 + 330 + 12 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11233012293 and 11233012302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 136461 + ... + 202700.

It is an arithmetic number, because the mean of its divisors is an integer number (277773678).

Almost surely, 211233012320 is an apocalyptic number.

11233012320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11233012320 is an abundant number, since it is smaller than the sum of its proper divisors (28766397312).

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

11233012320 is a wasteful number, since it uses less digits than its factorization.

11233012320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339205 (or 339194 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 11233012320 its reverse (2321033211), we get a palindrome (13554045531).

The spelling of 11233012320 in words is "eleven billion, two hundred thirty-three million, twelve thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 30 32 36 40 45 46 48 60 69 72 80 90 92 96 115 120 138 144 160 180 184 207 230 240 276 288 345 360 368 414 460 480 552 690 720 736 828 920 1035 1104 1380 1440 1656 1840 2070 2208 2760 3312 3680 4140 5520 6624 8280 11040 16560 33120 339161 678322 1017483 1356644 1695805 2034966 2713288 3052449 3391610 4069932 5087415 5426576 6104898 6783220 7800703 8139864 10174830 10853152 12209796 13566440 15262245 15601406 16279728 20349660 23402109 24419592 27132880 30524490 31202812 32559456 39003515 40699320 46804218 48839184 54265760 61048980 62405624 70206327 78007030 81398640 93608436 97678368 117010545 122097960 124811248 140412654 156014060 162797280 187216872 234021090 244195920 249622496 280825308 312028120 351031635 374433744 468042180 488391840 561650616 624056240 702063270 748867488 936084360 1123301232 1248112480 1404126540 1872168720 2246602464 2808253080 3744337440 5616506160 11233012320