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112102100032 = 26131929324203
BaseRepresentation
bin110100001100111001…
…1100100110001000000
3101201100120212201111211
41220121303210301000
53314041114200112
6123255441015504
711045665061656
oct1503163446100
9351316781454
10112102100032
11435a6792a6a
1219886924594
13a756b71890
1455d6458dd6
152db19270a7
hex1a19ce4c40

112102100032 has 112 divisors (see below), whose sum is σ = 253044106560. Its totient is φ = 48846993408.

The previous prime is 112102100023. The next prime is 112102100057. The reversal of 112102100032 is 230001201211.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 112102099985 and 112102100021.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4619643 + ... + 4643845.

It is an arithmetic number, because the mean of its divisors is an integer number (2259322380).

Almost surely, 2112102100032 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 112102100032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126522053280).

112102100032 is an abundant number, since it is smaller than the sum of its proper divisors (140942006528).

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

112102100032 is a wasteful number, since it uses less digits than its factorization.

112102100032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24540 (or 24530 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 112102100032 its reverse (230001201211), we get a palindrome (342103301243).

The spelling of 112102100032 in words is "one hundred twelve billion, one hundred two million, one hundred thousand, thirty-two".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 64 76 104 152 208 247 293 304 416 494 586 608 832 988 1172 1216 1976 2344 3809 3952 4688 5567 7618 7904 9376 11134 15236 15808 18752 22268 24203 30472 44536 48406 60944 72371 89072 96812 121888 144742 178144 193624 243776 289484 314639 356288 387248 459857 578968 629278 774496 919714 1157936 1258556 1548992 1839428 2315872 2517112 3678856 4631744 5034224 5978141 7091479 7357712 10068448 11956282 14182958 14715424 20136896 23912564 28365916 29430848 47825128 56731832 92189227 95650256 113463664 134738101 184378454 191300512 226927328 269476202 368756908 382601024 453854656 538952404 737513816 1077904808 1475027632 1751595313 2155809616 2950055264 3503190626 4311619232 5900110528 7006381252 8623238464 14012762504 28025525008 56051050016 112102100032