Search a number
-
+
23131232112 = 24323173281431
BaseRepresentation
bin10101100010101110…
…101001011101110000
32012201001111100012110
4111202232221131300
5334333043411422
614343142325320
71446133141332
oct254256513560
965631440173
1023131232112
11989aa8305a
124596729840
1322483196c1
1411960cd452
15905ad360c
hex562ba9770

23131232112 has 160 divisors (see below), whose sum is σ = 63083390976. Its totient is φ = 7289497600.

The previous prime is 23131232093. The next prime is 23131232123. The reversal of 23131232112 is 21123213132.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 53668537 + ... + 53668967.

Almost surely, 223131232112 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 23131232112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31541695488).

23131232112 is an abundant number, since it is smaller than the sum of its proper divisors (39952158864).

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

23131232112 is a wasteful number, since it uses less digits than its factorization.

23131232112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 919 (or 913 counting only the distinct ones).

The product of its digits is 432, while the sum is 21.

Adding to 23131232112 its reverse (21123213132), we get a palindrome (44254445244).

The spelling of 23131232112 in words is "twenty-three billion, one hundred thirty-one million, two hundred thirty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 173 184 276 281 346 368 431 519 552 562 692 843 862 1038 1104 1124 1293 1384 1686 1724 2076 2248 2586 2768 3372 3448 3979 4152 4496 5172 6463 6744 6896 7958 8304 9913 10344 11937 12926 13488 15916 19389 19826 20688 23874 25852 29739 31832 38778 39652 47748 48613 51704 59478 63664 74563 77556 79304 95496 97226 103408 118956 121111 145839 149126 155112 158608 190992 194452 223689 237912 242222 291678 298252 310224 363333 388904 447378 475824 484444 583356 596504 726666 777808 894756 968888 1118099 1166712 1193008 1453332 1714949 1789512 1937776 2236198 2333424 2785553 2906664 3354297 3429898 3579024 4472396 5144847 5571106 5813328 6708594 6859796 8356659 8944792 10289694 11142212 13417188 13719592 16713318 17889584 20579388 20952203 22284424 26834376 27439184 33426636 41158776 41904406 44568848 53668752 62856609 66853272 82317552 83808812 125713218 133706544 167617624 251426436 335235248 481900669 502852872 963801338 1005705744 1445702007 1927602676 2891404014 3855205352 5782808028 7710410704 11565616056 23131232112