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2113143134116 = 2272535914092447
BaseRepresentation
bin11110110000000001001…
…001010101011110100100
321111000101120121120202211
4132300001021111132210
5234110204120242431
64254433051013204
7305445441163600
oct36600111253644
97430346546684
102113143134116
117451a72340a3
122a165b43a204
13124364cac541
14743c3298500
1539e7aede2b1
hex1ec012557a4

2113143134116 has 144 divisors (see below), whose sum is σ = 4462193836800. Its totient is φ = 872508628992.

The previous prime is 2113143134111. The next prime is 2113143134131. The reversal of 2113143134116 is 6114313413112.

It is not an unprimeable number, because it can be changed into a prime (2113143134111) 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, 863563605 + ... + 863566051.

It is an arithmetic number, because the mean of its divisors is an integer number (30987457200).

Almost surely, 22113143134116 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 2113143134116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2231096918400).

2113143134116 is an abundant number, since it is smaller than the sum of its proper divisors (2349050702684).

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

2113143134116 is a wasteful number, since it uses less digits than its factorization.

2113143134116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3986 (or 3977 counting only the distinct ones).

The product of its digits is 5184, while the sum is 31.

Adding to 2113143134116 its reverse (6114313413112), we get a palindrome (8227456547228).

The spelling of 2113143134116 in words is "two trillion, one hundred thirteen billion, one hundred forty-three million, one hundred thirty-four thousand, one hundred sixteen".

Divisors: 1 2 4 7 14 28 49 53 59 98 106 118 196 212 236 371 413 742 826 1409 1484 1652 2447 2597 2818 2891 3127 4894 5194 5636 5782 6254 9788 9863 10388 11564 12508 17129 19726 21889 34258 39452 43778 68516 69041 74677 83131 87556 119903 129691 138082 144373 149354 153223 166262 239806 259382 276164 288746 298708 306446 332524 479612 518764 522739 577492 581917 612892 907837 1010611 1045478 1163834 1815674 2021222 2090956 2327668 3447823 3631348 3659173 4042444 4073419 4405943 6354859 6895646 7074277 7318346 7651769 8146838 8811886 12709718 13791292 14148554 14636692 15303538 16293676 17623772 24134761 25419436 28297108 30607076 30841601 48269522 53562383 61683202 96539044 107124766 123366404 168943327 182734619 203421557 214249532 215891207 337886654 365469238 374936681 406843114 431782414 675773308 730938476 749873362 813686228 863564828 1279142333 1423950899 1499746724 2558284666 2847901798 5116569332 5695803596 8953996331 9967656293 10781342521 17907992662 19935312586 21562685042 35815985324 39870625172 43125370084 75469397647 150938795294 301877590588 528285783529 1056571567058 2113143134116