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2011130212 = 22713232291049
BaseRepresentation
bin111011111011111…
…0110100101100100
312012011022000000011
41313313312211210
513104322131322
6531321300004
7100560216250
oct16767664544
95164260004
102011130212
11942259993
12481634604
132608734a0
14151155260
15bb860677
hex77df6964

2011130212 has 96 divisors (see below), whose sum is σ = 4544064000. Its totient is φ = 756974592.

The previous prime is 2011130203. The next prime is 2011130213. The reversal of 2011130212 is 2120311102.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 2011130192 and 2011130201.

It is not an unprimeable number, because it can be changed into a prime (2011130213) 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, 1916664 + ... + 1917712.

It is an arithmetic number, because the mean of its divisors is an integer number (47334000).

Almost surely, 22011130212 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 2011130212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2272032000).

2011130212 is an abundant number, since it is smaller than the sum of its proper divisors (2532933788).

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

2011130212 is a wasteful number, since it uses less digits than its factorization.

2011130212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1325 (or 1323 counting only the distinct ones).

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

The square root of 2011130212 is about 44845.6264534235. The cubic root of 2011130212 is about 1262.2539257296.

Adding to 2011130212 its reverse (2120311102), we get a palindrome (4131441314).

The spelling of 2011130212 in words is "two billion, eleven million, one hundred thirty thousand, two hundred twelve".

Divisors: 1 2 4 7 13 14 23 26 28 46 52 91 92 161 182 229 299 322 364 458 598 644 916 1049 1196 1603 2093 2098 2977 3206 4186 4196 5267 5954 6412 7343 8372 10534 11908 13637 14686 20839 21068 24127 27274 29372 36869 41678 48254 54548 68471 73738 83356 95459 96508 136942 147476 168889 190918 240221 273884 313651 337778 381836 479297 480442 627302 675556 958594 960884 1254604 1681547 1917188 2195557 3122873 3363094 4391114 5525083 6245746 6726188 8782228 11050166 12491492 21860111 22100332 38675581 43720222 71826079 77351162 87440444 143652158 154702324 287304316 502782553 1005565106 2011130212