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2011414132 = 22721329163167
BaseRepresentation
bin111011111100011…
…1011111001110100
312012011211102110201
41313320323321310
513104410223012
6531331330244
7100562511100
oct16770737164
95164742421
102011414132
11942433232
12481750984
132609427a0
141511ca900
15bb8b9857
hex77e3be74

2011414132 has 144 divisors (see below), whose sum is σ = 4617164160. Its totient is φ = 758999808.

The previous prime is 2011414129. The next prime is 2011414133. The reversal of 2011414132 is 2314141102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011414133) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12044313 + ... + 12044479.

It is an arithmetic number, because the mean of its divisors is an integer number (32063640).

Almost surely, 22011414132 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 2011414132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2308582080).

2011414132 is an abundant number, since it is smaller than the sum of its proper divisors (2605750028).

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

2011414132 is a wasteful number, since it uses less digits than its factorization.

2011414132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 2011414132 is about 44848.7918677861. The cubic root of 2011414132 is about 1262.3133222270.

Adding to 2011414132 its reverse (2314141102), we get a palindrome (4325555234).

The spelling of 2011414132 in words is "two billion, eleven million, four hundred fourteen thousand, one hundred thirty-two".

Divisors: 1 2 4 7 13 14 26 28 29 49 52 58 91 98 116 163 167 182 196 203 326 334 364 377 406 637 652 668 754 812 1141 1169 1274 1421 1508 2119 2171 2282 2338 2548 2639 2842 4238 4342 4564 4676 4727 4843 5278 5684 7987 8183 8476 8684 9454 9686 10556 14833 15197 15974 16366 18473 18908 19372 27221 29666 30394 31948 32732 33089 33901 36946 54442 59332 60788 61451 62959 66178 67802 73892 103831 106379 108884 122902 125918 132356 135604 190547 207662 212758 231623 237307 245804 251836 353873 381094 415324 425516 430157 440713 463246 474614 707746 762188 789409 860314 881426 926492 949228 1333829 1415492 1578818 1720628 1762852 2477111 2667658 3011099 3084991 3157636 4954222 5335316 5525863 6022198 6169982 9908444 10262317 11051726 12044396 12339964 17339777 20524634 22103452 34679554 38681041 41049268 69359108 71836219 77362082 143672438 154724164 287344876 502853533 1005707066 2011414132