Search a number
-
+
1121020212 = 2231321134057
BaseRepresentation
bin100001011010001…
…0110100100110100
32220010101201122010
41002310112210310
54243440121322
6303123204220
736531341334
oct10264264464
92803351563
101121020212
11525872094
12273516670
1314b330590
14a8c510c4
156863920c
hex42d16934

1121020212 has 48 divisors (see below), whose sum is σ = 2830356032. Its totient is φ = 343284480.

The previous prime is 1121020211. The next prime is 1121020213. The reversal of 1121020212 is 2120201211.

It is an interprime number because it is at equal distance from previous prime (1121020211) and next prime (1121020213).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1121020211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15888 + ... + 49944.

Almost surely, 21121020212 is an apocalyptic number.

1121020212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1121020212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1415178016).

1121020212 is an abundant number, since it is smaller than the sum of its proper divisors (1709335820).

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

1121020212 is a wasteful number, since it uses less digits than its factorization.

1121020212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34288 (or 34286 counting only the distinct ones).

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

The square root of 1121020212 is about 33481.6399239942. The cubic root of 1121020212 is about 1038.8140487702.

Adding to 1121020212 its reverse (2120201211), we get a palindrome (3241221423).

The spelling of 1121020212 in words is "one billion, one hundred twenty-one million, twenty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 211 422 633 844 1266 2532 2743 5486 8229 10972 16458 32916 34057 68114 102171 136228 204342 408684 442741 885482 1328223 1770964 2656446 5312892 7186027 14372054 21558081 28744108 43116162 86232324 93418351 186836702 280255053 373673404 560510106 1121020212