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2131440221301 = 319231416072551
BaseRepresentation
bin11111000001000011101…
…111001011110001110101
321112202121201210220210120
4133001003233023301311
5234410142144040201
64311100425042153
7306664034644236
oct37010357136165
97482551726716
102131440221301
11751a36490556
122a5107026359
13125cbc92ab51
147523b33b08d
153a69c4cd536
hex1f043bcbc75

2131440221301 has 96 divisors (see below), whose sum is σ = 3178106781696. Its totient is φ = 1268382240000.

The previous prime is 2131440221291. The next prime is 2131440221347. The reversal of 2131440221301 is 1031220441312.

It is not a de Polignac number, because 2131440221301 - 215 = 2131440188533 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131440221101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 835529976 + ... + 835532526.

It is an arithmetic number, because the mean of its divisors is an integer number (33105278976).

Almost surely, 22131440221301 is an apocalyptic number.

It is an amenable number.

2131440221301 is a deficient number, since it is larger than the sum of its proper divisors (1046666560395).

2131440221301 is a wasteful number, since it uses less digits than its factorization.

2131440221301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3271 (or 3252 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 2131440221301 its reverse (1031220441312), we get a palindrome (3162660662613).

The spelling of 2131440221301 in words is "two trillion, one hundred thirty-one billion, four hundred forty million, two hundred twenty-one thousand, three hundred one".

Divisors: 1 3 19 31 41 57 93 123 361 589 607 779 1083 1271 1767 1821 2337 2551 3813 7653 11191 11533 14801 18817 24149 24887 33573 34599 44403 48469 56451 72447 74661 79081 104591 145407 219127 237243 313773 357523 458831 472853 657381 771497 920911 1072569 1376493 1418559 1502539 1548457 1987229 2314491 2762733 3242321 4507617 4645371 5961687 6792937 8984207 9726963 14658443 20378811 26952621 28548241 29420683 37757351 43975329 48002167 61604099 63486737 85644723 88262049 113272053 144006501 184812297 190460211 278510417 558992977 835531251 912041173 1170477881 1206248003 1676978931 1968088847 2736123519 3511433643 3618744009 5904266541 17328782287 22918712057 37393688093 51986346861 68756136171 112181064279 710480073767 2131440221301