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112410420516 = 223319344912011
BaseRepresentation
bin110100010110000101…
…1101110010100100100
3101202011002001000201000
41220230023232110210
53320204031424031
6123350213233300
711056430544342
oct1505413562444
9352132030630
10112410420516
114374482a789
1219952032830
13a7a59c3934
145625396992
152dcda2b3e6
hex1a2c2ee524

112410420516 has 96 divisors (see below), whose sum is σ = 293621328000. Its totient is φ = 37189877760.

The previous prime is 112410420497. The next prime is 112410420533. The reversal of 112410420516 is 615024014211.

112410420516 is a `hidden beast` number, since 1 + 1 + 24 + 104 + 20 + 516 = 666.

It is a super-2 number, since 2×1124104205162 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 112410420516.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9352951 + ... + 9364961.

It is an arithmetic number, because the mean of its divisors is an integer number (3058555500).

Almost surely, 2112410420516 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 112410420516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146810664000).

112410420516 is an abundant number, since it is smaller than the sum of its proper divisors (181210907484).

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

112410420516 is a wasteful number, since it uses less digits than its factorization.

112410420516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12666 (or 12658 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 112410420516 its reverse (615024014211), we get a palindrome (727434434727).

The spelling of 112410420516 in words is "one hundred twelve billion, four hundred ten million, four hundred twenty thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 193 386 449 579 772 898 1158 1347 1737 1796 2316 2694 3474 4041 5211 5388 6948 8082 10422 12011 12123 16164 20844 24022 24246 36033 48044 48492 72066 86657 108099 144132 173314 216198 259971 324297 346628 432396 519942 648594 779913 1039884 1297188 1559826 2318123 2339739 3119652 4636246 4679478 5392939 6954369 9272492 9358956 10785878 13908738 16178817 20863107 21571756 27817476 32357634 41726214 48536451 62589321 64715268 83452428 97072902 125178642 145609353 194145804 250357284 291218706 582437412 1040837227 2081674454 3122511681 4163348908 6245023362 9367535043 12490046724 18735070086 28102605129 37470140172 56205210258 112410420516