Search a number
-
+
12023103232 = 287371491217
BaseRepresentation
bin10110011001010000…
…11111111100000000
31011000220120221000201
423030220133330000
5144110403300412
65305012454544
7603641456050
oct131450377400
934026527021
1012023103232
11510a801458
1223b661a454
131197b9358a
14820b13560
154a57d5e57
hex2cca1ff00

12023103232 has 144 divisors (see below), whose sum is σ = 28381348800. Its totient is φ = 4975755264.

The previous prime is 12023103227. The next prime is 12023103251. The reversal of 12023103232 is 23230132021.

It is a super-2 number, since 2×120231032322 (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 15 ways as a sum of consecutive naturals, for example, 9878688 + ... + 9879904.

It is an arithmetic number, because the mean of its divisors is an integer number (197092700).

Almost surely, 212023103232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12023103232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14190674400).

12023103232 is an abundant number, since it is smaller than the sum of its proper divisors (16358245568).

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

12023103232 is a wasteful number, since it uses less digits than its factorization.

12023103232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1426 (or 1412 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 12023103232 its reverse (23230132021), we get a palindrome (35253235253).

The spelling of 12023103232 in words is "twelve billion, twenty-three million, one hundred three thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 37 56 64 74 112 128 148 149 224 256 259 296 298 448 518 592 596 896 1036 1043 1184 1192 1217 1792 2072 2086 2368 2384 2434 4144 4172 4736 4768 4868 5513 8288 8344 8519 9472 9536 9736 11026 16576 16688 17038 19072 19472 22052 33152 33376 34076 38144 38591 38944 44104 45029 66304 66752 68152 77182 77888 88208 90058 133504 136304 154364 155776 176416 180116 181333 267008 272608 308728 311552 315203 352832 360232 362666 545216 617456 630406 705664 720464 725332 1090432 1234912 1260812 1269331 1411328 1440928 1450664 2180864 2469824 2521624 2538662 2881856 2901328 4939648 5043248 5077324 5763712 5802656 6709321 9879296 10086496 10154648 11527424 11605312 13418642 20172992 20309296 23210624 26837284 40345984 40618592 46421248 46965247 53674568 80691968 81237184 93930494 107349136 162474368 187860988 214698272 324948736 375721976 429396544 751443952 858793088 1502887904 1717586176 3005775808 6011551616 12023103232