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112102122 = 231167101251
BaseRepresentation
bin1101010111010…
…00101011101010
321210221101012110
412223220223222
5212144231442
615042423150
72530565226
oct653505352
9253841173
10112102122
1158307a90
1231661ab6
131a2c0122
1410c61786
159c9569c
hex6ae8aea

112102122 has 64 divisors (see below), whose sum is σ = 251693568. Its totient is φ = 33000000.

The previous prime is 112102121. The next prime is 112102129. The reversal of 112102122 is 221201211.

It is a junction number, because it is equal to n+sod(n) for n = 112102098 and 112102107.

It is not an unprimeable number, because it can be changed into a prime (112102121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 446497 + ... + 446747.

It is an arithmetic number, because the mean of its divisors is an integer number (3932712).

Almost surely, 2112102122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112102122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125846784).

112102122 is an abundant number, since it is smaller than the sum of its proper divisors (139591446).

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

112102122 is a wasteful number, since it uses less digits than its factorization.

112102122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435.

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 112102122 is about 10587.8289559286. The cubic root of 112102122 is about 482.1749134179.

Adding to 112102122 its reverse (221201211), we get a palindrome (333303333).

The spelling of 112102122 in words is "one hundred twelve million, one hundred two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 66 67 101 134 201 202 251 303 402 502 606 737 753 1111 1474 1506 2211 2222 2761 3333 4422 5522 6666 6767 8283 13534 16566 16817 20301 25351 33634 40602 50451 50702 74437 76053 100902 148874 152106 184987 223311 278861 369974 446622 554961 557722 836583 1109922 1673166 1698517 3397034 5095551 10191102 18683687 37367374 56051061 112102122