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112010210032 = 2477114819511
BaseRepresentation
bin110100001010001010…
…1000010101011110000
3101201010011222020010111
41220110111002223300
53313344103210112
6123242355311104
711043501035050
oct1502425025360
9351104866114
10112010210032
1143559930716
121985bbab494
13a740b0a5b6
1455c8179560
152da88255a7
hex1a14542af0

112010210032 has 80 divisors (see below), whose sum is σ = 251712175104. Its totient is φ = 47291328000.

The previous prime is 112010209973. The next prime is 112010210033. The reversal of 112010210032 is 230012010211.

It is a junction number, because it is equal to n+sod(n) for n = 112010209994 and 112010210021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112010210033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11772157 + ... + 11781667.

Almost surely, 2112010210032 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 112010210032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125856087552).

112010210032 is an abundant number, since it is smaller than the sum of its proper divisors (139701965072).

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

112010210032 is a wasteful number, since it uses less digits than its factorization.

112010210032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11078 (or 11072 counting only the distinct ones).

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

Adding to 112010210032 its reverse (230012010211), we get a palindrome (342022220243).

The spelling of 112010210032 in words is "one hundred twelve billion, ten million, two hundred ten thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 56 71 112 142 284 497 568 994 1136 1481 1988 2962 3976 5924 7952 9511 10367 11848 19022 20734 23696 38044 41468 66577 76088 82936 105151 133154 152176 165872 210302 266308 420604 532616 675281 736057 841208 1065232 1350562 1472114 1682416 2701124 2944228 4726967 5402248 5888456 9453934 10804496 11776912 14085791 18907868 28171582 37815736 56343164 75631472 98600537 112686328 197201074 225372656 394402148 788804296 1000091161 1577608592 2000182322 4000364644 7000638127 8000729288 14001276254 16001458576 28002552508 56005105016 112010210032