Search a number
-
+
21310014132 = 223211434726627
BaseRepresentation
bin10011110110001011…
…010000001010110100
32001000010112212210200
4103312023100022310
5322120330423012
613442323320500
71353040063041
oct236613201264
961003485720
1021310014132
119045a47030
124168820130
132017c0aa24
1410622921c8
1584ac883dc
hex4f62d02b4

21310014132 has 144 divisors (see below), whose sum is σ = 61412262912. Its totient is φ = 6172971840.

The previous prime is 21310014127. The next prime is 21310014137. The reversal of 21310014132 is 23141001312.

It is an interprime number because it is at equal distance from previous prime (21310014127) and next prime (21310014137).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21310014137) 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, 787003 + ... + 813629.

It is an arithmetic number, because the mean of its divisors is an integer number (426474048).

Almost surely, 221310014132 is an apocalyptic number.

21310014132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21310014132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30706131456).

21310014132 is an abundant number, since it is smaller than the sum of its proper divisors (40102248780).

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

21310014132 is a wasteful number, since it uses less digits than its factorization.

21310014132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26738 (or 26733 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 21310014132 its reverse (23141001312), we get a palindrome (44451015444).

The spelling of 21310014132 in words is "twenty-one billion, three hundred ten million, fourteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 43 44 47 66 86 94 99 129 132 141 172 188 198 258 282 387 396 423 473 516 517 564 774 846 946 1034 1419 1548 1551 1692 1892 2021 2068 2838 3102 4042 4257 4653 5676 6063 6204 8084 8514 9306 12126 17028 18189 18612 22231 24252 26627 36378 44462 53254 66693 72756 79881 88924 106508 133386 159762 200079 239643 266772 292897 319524 400158 479286 585794 800316 878691 958572 1144961 1171588 1251469 1757382 2289922 2502938 2636073 3434883 3514764 3754407 4579844 5005876 5272146 6869766 7508814 10304649 10544292 11263221 12594571 13739532 13766159 15017628 20609298 22526442 25189142 27532318 37783713 41218596 41298477 45052884 50378284 53813167 55064636 75567426 82596954 107626334 113351139 123895431 151134852 161439501 165193908 215252668 226702278 247790862 322879002 453404556 484318503 495581724 591944837 645758004 968637006 1183889674 1775834511 1937274012 2367779348 3551669022 5327503533 7103338044 10655007066 21310014132