Search a number
-
+
112311620344 = 237112361129953
BaseRepresentation
bin110100010011001001…
…0110101001011111000
3101201220012010110100101
41220212102311023320
53320003233322334
6123332323445144
711054121010240
oct1504622651370
9351805113311
10112311620344
11436a3a88750
1219924b267b4
13a78b3b02b1
1456161d8b20
152dc5012214
hex1a264b52f8

112311620344 has 128 divisors (see below), whose sum is σ = 278455034880. Its totient is φ = 41168793600.

The previous prime is 112311620279. The next prime is 112311620383. The reversal of 112311620344 is 443026113211.

It is a super-2 number, since 2×1123116203442 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 799272 + ... + 929224.

It is an arithmetic number, because the mean of its divisors is an integer number (2175429960).

Almost surely, 2112311620344 is an apocalyptic number.

112311620344 is a gapful number since it is divisible by the number (14) 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 112311620344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139227517440).

112311620344 is an abundant number, since it is smaller than the sum of its proper divisors (166143414536).

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

112311620344 is a wasteful number, since it uses less digits than its factorization.

112311620344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130061 (or 130057 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 112311620344 its reverse (443026113211), we get a palindrome (555337733555).

It can be divided in two parts, 112311 and 620344, that added together give a triangular number (732655 = T1210).

The spelling of 112311620344 in words is "one hundred twelve billion, three hundred eleven million, six hundred twenty thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 11 14 22 23 28 44 46 56 61 77 88 92 122 154 161 184 244 253 308 322 427 488 506 616 644 671 854 1012 1288 1342 1403 1708 1771 2024 2684 2806 3416 3542 4697 5368 5612 7084 9394 9821 11224 14168 15433 18788 19642 30866 37576 39284 61732 78568 108031 123464 129953 216062 259906 432124 519812 864248 909671 1039624 1429483 1819342 2858966 2988919 3638684 5717932 5977838 7277368 7927133 10006381 11435864 11955676 15854266 20012762 20922433 23911352 31708532 32878109 40025524 41844866 55489931 63417064 65756218 80051048 83689732 87198463 110979862 131512436 167379464 174396926 182324059 221959724 230146763 263024872 348793852 364648118 443919448 460293526 610389241 697587704 729296236 920587052 1220778482 1276268413 1458592472 1841174104 2005564649 2441556964 2552536826 4011129298 4883113928 5105073652 8022258596 10210147304 14038952543 16044517192 28077905086 56155810172 112311620344