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21310313661 = 3271367834679
BaseRepresentation
bin10011110110001100…
…011001010010111101
32001000011010002200100
4103312030121102331
5322120420014121
613442333551313
71353042451230
oct236614312275
961004102610
1021310313661
11904613107a
124168945539
132017cb4170
14106232d417
1584ace7026
hex4f63194bd

21310313661 has 96 divisors (see below), whose sum is σ = 38922024960. Its totient is φ = 10937089152.

The previous prime is 21310313659. The next prime is 21310313701. The reversal of 21310313661 is 16631301312.

It is not a de Polignac number, because 21310313661 - 21 = 21310313659 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21310313621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4552120 + ... + 4556798.

It is an arithmetic number, because the mean of its divisors is an integer number (405437760).

Almost surely, 221310313661 is an apocalyptic number.

21310313661 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

21310313661 is a deficient number, since it is larger than the sum of its proper divisors (17611711299).

21310313661 is a wasteful number, since it uses less digits than its factorization.

21310313661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4855 (or 4852 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 21310313661 its reverse (16631301312), we get a palindrome (37941614973).

It can be divided in two parts, 21310 and 313661, that added together give a triangular number (334971 = T818).

The spelling of 21310313661 in words is "twenty-one billion, three hundred ten million, three hundred thirteen thousand, six hundred sixty-one".

Divisors: 1 3 7 9 13 21 39 63 67 83 91 117 201 249 273 469 581 603 747 819 871 1079 1407 1743 2613 3237 4221 4679 5229 5561 6097 7553 7839 9711 14037 16683 18291 22659 32753 38927 42111 50049 54873 60827 67977 72293 98259 116781 182481 216879 294777 313493 350343 388357 425789 506051 547443 650637 940479 1165071 1277367 1518153 2194451 2718499 2821437 3495213 3832101 4075409 4554459 5048641 6583353 8155497 12226227 15145923 19750059 24466491 26019919 28527863 35340487 36678681 45437769 78059757 85583589 106021461 182139433 234179271 256750767 318064383 338258947 546418299 1014776841 1639254897 2367812629 3044330523 7103437887 21310313661