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112121010 = 2345149929
BaseRepresentation
bin1101010111011…
…01010010110010
321210222100010000
412223231102302
5212200333020
615043050430
72531004261
oct653552262
9253870100
10112121010
11583201a1
1231670a16
131a2c88c1
1410c685d8
159c9b090
hex6aed4b2

112121010 has 80 divisors (see below), whose sum is σ = 303831000. Its totient is φ = 29666304.

The previous prime is 112121003. The next prime is 112121027. The reversal of 112121010 is 10121211.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 32251041 + 79869969 = 5679^2 + 8937^2 .

It is a super-2 number, since 2×1121210102 = 25142241766840200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 112120983 and 112121001.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 120226 + ... + 121154.

Almost surely, 2112121010 is an apocalyptic number.

112121010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112121010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151915500).

112121010 is an abundant number, since it is smaller than the sum of its proper divisors (191709990).

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

112121010 is a wasteful number, since it uses less digits than its factorization.

112121010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1097 (or 1088 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 112121010 is about 10588.7208859239. The cubic root of 112121010 is about 482.2019923234.

Adding to 112121010 its reverse (10121211), we get a palindrome (122242221).

The spelling of 112121010 in words is "one hundred twelve million, one hundred twenty-one thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 149 162 270 298 405 447 745 810 894 929 1341 1490 1858 2235 2682 2787 4023 4470 4645 5574 6705 8046 8361 9290 12069 13410 13935 16722 20115 24138 25083 27870 40230 41805 50166 60345 75249 83610 120690 125415 138421 150498 250830 276842 376245 415263 692105 752490 830526 1245789 1384210 2076315 2491578 3737367 4152630 6228945 7474734 11212101 12457890 18686835 22424202 37373670 56060505 112121010