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112461106225132 = 227371031636465733
BaseRepresentation
bin11001100100100001100100…
…010010011001111111101100
3112202012011202212002212102101
4121210201210102121333230
5104220030321143201012
61035103530255304444
732455022023334530
oct3144414422317754
9482164685085371
10112461106225132
113291953a677785
1210743870b1b124
134a9a062b51312
141dab20a325bc0
15d00588a01d57
hex664864499fec

112461106225132 has 96 divisors (see below), whose sum is σ = 234674901773312. Its totient is φ = 46154774405376.

The previous prime is 112461106225043. The next prime is 112461106225141. The reversal of 112461106225132 is 231522601164211.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a junction number, because it is equal to n+sod(n) for n = 112461106225091 and 112461106225100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14160538 + ... + 20626270.

Almost surely, 2112461106225132 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 112461106225132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117337450886656).

112461106225132 is an abundant number, since it is smaller than the sum of its proper divisors (122213795548180).

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

112461106225132 is a wasteful number, since it uses less digits than its factorization.

112461106225132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6466047 (or 6466045 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

Adding to 112461106225132 its reverse (231522601164211), we get a palindrome (343983707389343).

The spelling of 112461106225132 in words is "one hundred twelve trillion, four hundred sixty-one billion, one hundred six million, two hundred twenty-five thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 28 37 74 103 148 163 206 259 326 412 518 652 721 1036 1141 1442 2282 2884 3811 4564 6031 7622 12062 15244 16789 24124 26677 33578 42217 53354 67156 84434 106708 117523 168868 235046 470092 621193 1242386 2484772 4348351 6465733 8696702 12931466 17393404 25862932 45260131 90520262 181040524 239232121 478464242 665970499 956928484 1053914479 1331940998 1674624847 2107828958 2663881996 3349249694 4215657916 4661793493 6698499388 7377401353 9323586986 14754802706 18647173972 24640908463 29509605412 38994835723 49281816926 77989671446 98563633852 108553191337 155979342892 172486359241 217106382674 272963850061 344972718482 434212765348 545927700122 689945436964 759872339359 1091855400244 1519744678718 3039489357436 4016468079469 8032936158938 16065872317876 28115276556283 56230553112566 112461106225132