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2114113231134 = 2332913910519241
BaseRepresentation
bin11110110000111010111…
…101111101100100011110
321111002220012000121201000
4132300322331331210132
5234114200441344014
64255113223331130
7305511460652022
oct36607275754436
97432805017630
102114113231134
11745654893373
122a18902b0aa6
1312448ac79948
1474476060382
1539ed6265509
hex1ec3af7d91e

2114113231134 has 128 divisors (see below), whose sum is σ = 4900182336000. Its totient is φ = 674793504000.

The previous prime is 2114113231129. The next prime is 2114113231157. The reversal of 2114113231134 is 4311323114112.

2114113231134 is a `hidden beast` number, since 2 + 1 + 1 + 411 + 3 + 231 + 13 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2114113231098 and 2114113231107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 228770754 + ... + 228779994.

It is an arithmetic number, because the mean of its divisors is an integer number (38282674500).

Almost surely, 22114113231134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2114113231134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2450091168000).

2114113231134 is an abundant number, since it is smaller than the sum of its proper divisors (2786069104866).

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

2114113231134 is a wasteful number, since it uses less digits than its factorization.

2114113231134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10471 (or 10465 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

Adding to 2114113231134 its reverse (4311323114112), we get a palindrome (6425436345246).

The spelling of 2114113231134 in words is "two trillion, one hundred fourteen billion, one hundred thirteen million, two hundred thirty-one thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 29 54 58 87 139 174 261 278 417 522 783 834 1051 1251 1566 2102 2502 3153 3753 4031 6306 7506 8062 9241 9459 12093 18482 18918 24186 27723 28377 30479 36279 55446 56754 60958 72558 83169 91437 108837 146089 166338 182874 217674 249507 267989 274311 292178 438267 499014 535978 548622 803967 822933 876534 1284499 1314801 1607934 1645866 2411901 2568998 2629602 3853497 3944403 4236581 4823802 7235703 7706994 7888806 8473162 9712291 11560491 12709743 14471406 19424582 23120982 25419486 29136873 34681473 37250471 38129229 58273746 69362946 74500942 76258458 87410619 111751413 114387687 174821238 223502826 228775374 262231857 281656439 335254239 524463714 563312878 670508478 844969317 1005762717 1350008449 1689938634 2011525434 2534907951 2700016898 4050025347 5069815902 7604723853 8100050694 12150076041 15209447706 24300152082 36450228123 39150245021 72900456246 78300490042 117450735063 234901470126 352352205189 704704410378 1057056615567 2114113231134