Search a number
-
+
112120114324410 = 23351314731585889
BaseRepresentation
bin11001011111100011111111…
…100101100010001110111010
3112200222120121112200112012000
4121133203333211202032322
5104143433443231340120
61034243134111401430
732421260645112423
oct3137437745421672
9480876545615160
10112120114324410
11327a7967630785
12106a9767523276
134a73b5c60a66a
141d988dcdb664a
15ce677c729990
hex65f8ff9623ba

112120114324410 has 64 divisors (see below), whose sum is σ = 299009722838400. Its totient is φ = 29896422022656.

The previous prime is 112120114324409. The next prime is 112120114324411. The reversal of 112120114324410 is 14423411021211.

112120114324410 is a `hidden beast` number, since 1 + 1 + 2 + 1 + 201 + 1 + 43 + 2 + 4 + 410 = 666.

It is an interprime number because it is at equal distance from previous prime (112120114324409) and next prime (112120114324411).

It is a super-2 number, since 2×1121201143244102 (a number of 29 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (112120114324411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12243255 + ... + 19342634.

It is an arithmetic number, because the mean of its divisors is an integer number (4672026919350).

Almost surely, 2112120114324410 is an apocalyptic number.

112120114324410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

112120114324410 is an abundant number, since it is smaller than the sum of its proper divisors (186889608513990).

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

112120114324410 is a wasteful number, since it uses less digits than its factorization.

112120114324410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31599052 (or 31599046 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 112120114324410 its reverse (14423411021211), we get a palindrome (126543525345621).

The spelling of 112120114324410 in words is "one hundred twelve trillion, one hundred twenty billion, one hundred fourteen million, three hundred twenty-four thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 13147 26294 39441 65735 78882 118323 131470 197205 236646 354969 394410 591615 709938 1183230 1774845 3549690 31585889 63171778 94757667 157929445 189515334 284273001 315858890 473788335 568546002 852819003 947576670 1421365005 1705638006 2842730010 4264095015 8528190030 415259682683 830519365366 1245779048049 2076298413415 2491558096098 3737337144147 4152596826830 6228895240245 7474674288294 11212011432441 12457790480490 18686685720735 22424022864882 37373371441470 56060057162205 112120114324410