Search a number
-
+
1022120112 = 243132126001
BaseRepresentation
bin111100111011000…
…101000010110000
32122020022002012110
4330323011002300
54043130320422
6245231325320
734220610006
oct7473050260
92566262173
101022120112
11484a61a72
12246380840
131339b3600
1499a68a76
155eb0060c
hex3cec50b0

1022120112 has 60 divisors (see below), whose sum is σ = 2859237384. Its totient is φ = 314496000.

The previous prime is 1022120111. The next prime is 1022120117. The reversal of 1022120112 is 2110212201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (1022120111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54889 + ... + 71112.

Almost surely, 21022120112 is an apocalyptic number.

1022120112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1022120112 is an abundant number, since it is smaller than the sum of its proper divisors (1837117272).

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

1022120112 is a wasteful number, since it uses less digits than its factorization.

1022120112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126038 (or 126019 counting only the distinct ones).

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

The square root of 1022120112 is about 31970.6132565517. The cubic root of 1022120112 is about 1007.3196624848.

Adding to 1022120112 its reverse (2110212201), we get a palindrome (3132332313).

The spelling of 1022120112 in words is "one billion, twenty-two million, one hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 169 208 312 338 507 624 676 1014 1352 2028 2704 4056 8112 126001 252002 378003 504004 756006 1008008 1512012 1638013 2016016 3024024 3276026 4914039 6048048 6552052 9828078 13104104 19656156 21294169 26208208 39312312 42588338 63882507 78624624 85176676 127765014 170353352 255530028 340706704 511060056 1022120112