Search a number
-
+
1302132301002 = 2321321731180963
BaseRepresentation
bin10010111100101101001…
…000100001110011001010
311121111000211122120022100
4102330231020201303022
5132313231332113002
62434105154134230
7163035023636361
oct22745510416312
94544024576270
101302132301002
1146225a812525
12190441581376
1395a37ab4700
14470488427d8
1523d1121d11c
hex12f2d221cca

1302132301002 has 144 divisors (see below), whose sum is σ = 3245149821888. Its totient is φ = 375870942720.

The previous prime is 1302132300949. The next prime is 1302132301009. The reversal of 1302132301002 is 2001032312031.

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

It is not an unprimeable number, because it can be changed into a prime (1302132301009) 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 71 ways as a sum of consecutive naturals, for example, 16042573 + ... + 16123535.

It is an arithmetic number, because the mean of its divisors is an integer number (22535762652).

Almost surely, 21302132301002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1302132301002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1622574910944).

1302132301002 is an abundant number, since it is smaller than the sum of its proper divisors (1943017520886).

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

1302132301002 is a wasteful number, since it uses less digits than its factorization.

1302132301002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81325 (or 81309 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1302132301002 its reverse (2001032312031), we get a palindrome (3303164613033).

The spelling of 1302132301002 in words is "one trillion, three hundred two billion, one hundred thirty-two million, three hundred one thousand, two".

Divisors: 1 2 3 6 9 13 17 18 26 34 39 51 78 102 117 153 169 221 234 306 311 338 442 507 622 663 933 1014 1326 1521 1866 1989 2799 2873 3042 3978 4043 5287 5598 5746 8086 8619 10574 12129 15861 17238 24258 25857 31722 36387 47583 51714 52559 68731 72774 80963 95166 105118 137462 157677 161926 206193 242889 315354 412386 473031 485778 618579 728667 893503 946062 1052519 1237158 1376371 1457334 1787006 2105038 2680509 2752742 3157557 4129113 5361018 6315114 8041527 8258226 9472671 12387339 13682747 16083054 17892823 18945342 24774678 25179493 27365494 35785646 41048241 50358986 53678469 75538479 82096482 107356938 123144723 151076958 161035407 226615437 232606699 246289446 322070814 327333409 428051381 453230874 465213398 654666818 697820097 856102762 982000227 1284154143 1395640194 1964000454 2093460291 2568308286 2946000681 3852462429 4186920582 4255334317 5564667953 5892001362 7704924858 8510668634 11129335906 12766002951 16694003859 25532005902 33388007718 38298008853 50082011577 72340683389 76596017706 100164023154 144681366778 217022050167 434044100334 651066150501 1302132301002