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2012114136 = 2331943891153
BaseRepresentation
bin111011111101110…
…0110110011011000
312012020010222200210
41313323212303120
513110100123021
6531354331120
7100601454654
oct16773466330
95166128623
102012114136
1194287114a
12481a29aa0
13260b292a6
1415132da64
15bb9a6e76
hex77ee6cd8

2012114136 has 128 divisors (see below), whose sum is σ = 5483808000. Its totient is φ = 613122048.

The previous prime is 2012114123. The next prime is 2012114147. The reversal of 2012114136 is 6314112102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1744536 + ... + 1745688.

It is an arithmetic number, because the mean of its divisors is an integer number (42842250).

Almost surely, 22012114136 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 2012114136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2741904000).

2012114136 is an abundant number, since it is smaller than the sum of its proper divisors (3471693864).

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

2012114136 is a wasteful number, since it uses less digits than its factorization.

2012114136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1313 (or 1309 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 2012114136 is about 44856.5952341459. The cubic root of 2012114136 is about 1262.4597402579.

Adding to 2012114136 its reverse (6314112102), we get a palindrome (8326226238).

The spelling of 2012114136 in words is "two billion, twelve million, one hundred fourteen thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 19 24 38 43 57 76 86 89 114 129 152 172 178 228 258 267 344 356 456 516 534 712 817 1032 1068 1153 1634 1691 2136 2306 2451 3268 3382 3459 3827 4612 4902 5073 6536 6764 6918 7654 9224 9804 10146 11481 13528 13836 15308 19608 20292 21907 22962 27672 30616 40584 43814 45924 49579 65721 72713 87628 91848 99158 102617 131442 145426 148737 175256 198316 205234 218139 262884 290852 297474 307851 396632 410468 436278 525768 581704 594948 615702 820936 872556 942001 1189896 1231404 1745112 1884002 1949723 2462808 2826003 3768004 3899446 4412531 5652006 5849169 7536008 7798892 8825062 11304012 11698338 13237593 15597784 17650124 22608024 23396676 26475186 35300248 46793352 52950372 83838089 105900744 167676178 251514267 335352356 503028534 670704712 1006057068 2012114136