Search a number
-
+
2961294903105 = 3571111323397379
BaseRepresentation
bin101011000101111010111…
…011100100011101000001
3101111002121201210122001220
4223011322323210131001
5342004212443344410
610144222230545253
7423642435235020
oct53057273443501
911432551718056
102961294903105
11a419728545a0
123b9b03808229
13186330b1c6c6
14a34826c08b7
155206b792070
hex2b17aee4741

2961294903105 has 128 divisors (see below), whose sum is σ = 5985121259520. Its totient is φ = 1214529576960.

The previous prime is 2961294903053. The next prime is 2961294903137. The reversal of 2961294903105 is 5013094921692.

It is not a de Polignac number, because 2961294903105 - 26 = 2961294903041 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 30361306 + ... + 30458684.

It is an arithmetic number, because the mean of its divisors is an integer number (46758759840).

Almost surely, 22961294903105 is an apocalyptic number.

It is an amenable number.

2961294903105 is an abundant number, since it is smaller than the sum of its proper divisors (3023826356415).

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

2961294903105 is a wasteful number, since it uses less digits than its factorization.

2961294903105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97751.

The product of its (nonzero) digits is 1049760, while the sum is 51.

The spelling of 2961294903105 in words is "two trillion, nine hundred sixty-one billion, two hundred ninety-four million, nine hundred three thousand, one hundred five".

Divisors: 1 3 5 7 11 15 21 33 35 55 77 105 113 165 231 233 339 385 565 699 791 1155 1165 1243 1631 1695 2373 2563 3495 3729 3955 4893 6215 7689 8155 8701 11865 12815 17941 18645 24465 26103 26329 38445 43505 53823 78987 89705 97379 130515 131645 184303 269115 289619 292137 394935 486895 552909 681653 868857 921515 1071169 1448095 1460685 2027333 2044959 2764545 3213507 3408265 4344285 5355845 6081999 7498183 10136665 10224795 11003827 16067535 22494549 22689307 30409995 33011481 37490915 55019135 68067921 77026789 112472745 113446535 121042097 158825149 165057405 231080367 249582377 340339605 363126291 385133945 476475447 605210485 748747131 794125745 847294679 1155401835 1247911885 1747076639 1815631455 2382377235 2541884037 2563891691 3743735655 4236473395 5241229917 7691675073 8735383195 12709420185 12819458455 17947241837 26206149585 28202808601 38458375365 53841725511 84608425803 89736209185 141014043005 197419660207 269208627555 423042129015 592258980621 987098301035 2961294903105