Search a number
-
+
111104423102304 = 253224112771253519
BaseRepresentation
bin11001010000110010000011…
…101011000000011101100000
3112120101110221021110102112200
4121100302003223000131200
5104030313324303233204
61032144400051453200
732255013115142232
oct3120620353003540
9476343837412480
10111104423102304
113244613739a435
12105649465b7200
1349cc14353ac18
141d616a8a18252
15cca133662539
hex650c83ac0760

111104423102304 has 144 divisors (see below), whose sum is σ = 317512910594880. Its totient is φ = 36852225822720.

The previous prime is 111104423102303. The next prime is 111104423102371. The reversal of 111104423102304 is 403201324401111.

It is a happy number.

111104423102304 is a `hidden beast` number, since 1 + 1 + 1 + 1 + 0 + 4 + 42 + 310 + 2 + 304 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111104423102303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88007257 + ... + 89260775.

It is an arithmetic number, because the mean of its divisors is an integer number (2204950768020).

Almost surely, 2111104423102304 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 111104423102304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158756455297440).

111104423102304 is an abundant number, since it is smaller than the sum of its proper divisors (206408487492576).

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

111104423102304 is a wasteful number, since it uses less digits than its factorization.

111104423102304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1255053 (or 1255042 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 111104423102304 its reverse (403201324401111), we get a palindrome (514305747503415).

The spelling of 111104423102304 in words is "one hundred eleven trillion, one hundred four billion, four hundred twenty-three million, one hundred two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 241 288 482 723 964 1277 1446 1928 2169 2554 2892 3831 3856 4338 5108 5784 7662 7712 8676 10216 11493 11568 15324 17352 20432 22986 23136 30648 34704 40864 45972 61296 69408 91944 122592 183888 307757 367776 615514 923271 1231028 1253519 1846542 2462056 2507038 2769813 3693084 3760557 4924112 5014076 5539626 7386168 7521114 9848224 10028152 11079252 11281671 14772336 15042228 20056304 22158504 22563342 29544672 30084456 40112608 44317008 45126684 60168912 88634016 90253368 120337824 180506736 302098079 361013472 604196158 906294237 1208392316 1600743763 1812588474 2416784632 2718882711 3201487526 3625176948 4802231289 4833569264 5437765422 6402975052 7250353896 9604462578 9667138528 10875530844 12805950104 14406693867 14500707792 19208925156 21751061688 25611900208 28813387734 29001415584 38417850312 43502123376 51223800416 57626775468 76835700624 87004246752 115253550936 153671401248 230507101872 385779246883 461014203744 771558493766 1157337740649 1543116987532 2314675481298 3086233975064 3472013221947 4629350962596 6172467950128 6944026443894 9258701925192 12344935900256 13888052887788 18517403850384 27776105775576 37034807700768 55552211551152 111104423102304