Search a number
-
+
23113011120 = 24351494431459
BaseRepresentation
bin10101100001101001…
…001000111110110000
32012122210012121200220
4111201221020332300
5334313412323440
614341252013040
71445522232033
oct254151107660
965583177626
1023113011120
119890768391
124590601180
132244609c54
14119390901a
159041d48d0
hex561a48fb0

23113011120 has 160 divisors (see below), whose sum is σ = 72343584000. Its totient is φ = 6104097792.

The previous prime is 23113011091. The next prime is 23113011133. The reversal of 23113011120 is 2111031132.

It is a happy number.

It is a super-2 number, since 2×231130111202 (a number of 22 digits) contains 22 as substring.

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 23113011120.

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, 15840951 + ... + 15842409.

It is an arithmetic number, because the mean of its divisors is an integer number (452147400).

Almost surely, 223113011120 is an apocalyptic number.

23113011120 is a gapful number since it is divisible by the number (20) 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 23113011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36171792000).

23113011120 is an abundant number, since it is smaller than the sum of its proper divisors (49230572880).

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

23113011120 is a wasteful number, since it uses less digits than its factorization.

23113011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2067 (or 2061 counting only the distinct ones).

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

Adding to 23113011120 its reverse (2111031132), we get a palindrome (25224042252).

The spelling of 23113011120 in words is "twenty-three billion, one hundred thirteen million, eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 149 240 298 443 447 596 745 886 894 1192 1329 1459 1490 1772 1788 2215 2235 2384 2658 2918 2980 3544 3576 4377 4430 4470 5316 5836 5960 6645 7088 7152 7295 8754 8860 8940 10632 11672 11920 13290 14590 17508 17720 17880 21264 21885 23344 26580 29180 35016 35440 35760 43770 53160 58360 66007 70032 87540 106320 116720 132014 175080 198021 217391 264028 330035 350160 396042 434782 528056 646337 652173 660070 792084 869564 990105 1056112 1086955 1292674 1304346 1320140 1584168 1739128 1939011 1980210 2173910 2585348 2608692 2640280 3168336 3231685 3260865 3478256 3878022 3960420 4347820 5170696 5217384 5280560 6463370 6521730 7756044 7920840 8695640 9695055 10341392 10434768 12926740 13043460 15512088 15841680 17391280 19390110 25853480 26086920 31024176 38780220 51706960 52173840 77560440 96304213 155120880 192608426 288912639 385216852 481521065 577825278 770433704 963042130 1155650556 1444563195 1540867408 1926084260 2311301112 2889126390 3852168520 4622602224 5778252780 7704337040 11556505560 23113011120