Search a number
-
+
21232023103302 = 231123103379358297
BaseRepresentation
bin1001101001111011101110…
…01100011110011101000110
32210011202120012021211000020
410310331313030132131012
510240331140403301202
6113053505021000010
74320651216431064
oct464756714363506
983152505254006
1021232023103302
1168464a5584660
12246aaa96b3006
13bb022c13997b
145358c7781034
1526c4610c35bc
hex134f7731e746

21232023103302 has 128 divisors (see below), whose sum is σ = 48936742133760. Its totient is φ = 6078362653440.

The previous prime is 21232023103283. The next prime is 21232023103367. The reversal of 21232023103302 is 20330132023212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 59079018 + ... + 59437314.

It is an arithmetic number, because the mean of its divisors is an integer number (382318297920).

Almost surely, 221232023103302 is an apocalyptic number.

21232023103302 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 21232023103302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24468371066880).

21232023103302 is an abundant number, since it is smaller than the sum of its proper divisors (27704719030458).

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

21232023103302 is a wasteful number, since it uses less digits than its factorization.

21232023103302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358818.

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 21232023103302 its reverse (20330132023212), we get a palindrome (41562155126514).

The spelling of 21232023103302 in words is "twenty-one trillion, two hundred thirty-two billion, twenty-three million, one hundred three thousand, three hundred two".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 103 138 206 253 309 379 506 618 758 759 1133 1137 1518 2266 2274 2369 3399 4169 4738 6798 7107 8338 8717 12507 14214 17434 25014 26059 26151 39037 52118 52302 78074 78177 95887 117111 156354 191774 234222 287661 358297 429407 575322 716594 858814 897851 1074891 1288221 1795702 2149782 2576442 2693553 3941267 5387106 7882534 8240831 9876361 11823801 16481662 19752722 23647602 24722493 29629083 36904591 49444986 59258166 73809182 90649141 110713773 135794563 181298282 221427546 271589126 271947423 405950501 407383689 543894846 811901002 814767378 848805593 1217851503 1493740193 1697611186 2435703006 2546416779 2987480386 3123274949 4481220579 5092833558 6246549898 8962441158 9336861523 9369824847 13986839989 18673723046 18739649694 27973679978 28010584569 34356024439 41960519967 56021169138 68712048878 83921039934 103068073317 153855239879 206136146634 307710479758 321697319747 461565719637 643394639494 923131439274 965091959241 1930183918482 3538670517217 7077341034434 10616011551651 21232023103302