Search a number
-
+
13302023020 = 225111344310499
BaseRepresentation
bin11000110001101110…
…01100001101101100
31021100001002210011021
430120313030031230
5204220304214040
610035540303524
7650431221136
oct143067141554
937301083137
1013302023020
115706710860
1226b29a1ba4
13133cb2a550
14902908056
1552cc1024a
hex318dcc36c

13302023020 has 96 divisors (see below), whose sum is σ = 32895072000. Its totient is φ = 4454511360.

The previous prime is 13302023017. The next prime is 13302023041. The reversal of 13302023020 is 2032020331.

13302023020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13302022985 and 13302023003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1261731 + ... + 1272229.

It is an arithmetic number, because the mean of its divisors is an integer number (342657000).

Almost surely, 213302023020 is an apocalyptic number.

13302023020 is a gapful number since it is divisible by the number (10) 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 13302023020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16447536000).

13302023020 is an abundant number, since it is smaller than the sum of its proper divisors (19593048980).

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

13302023020 is a wasteful number, since it uses less digits than its factorization.

13302023020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10975 (or 10973 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 13302023020 its reverse (2032020331), we get a palindrome (15334043351).

The spelling of 13302023020 in words is "thirteen billion, three hundred two million, twenty-three thousand, twenty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 220 260 286 443 572 715 886 1430 1772 2215 2860 4430 4873 5759 8860 9746 10499 11518 19492 20998 23036 24365 28795 41996 48730 52495 57590 63349 97460 104990 115180 115489 126698 136487 209980 230978 253396 272974 316745 461956 545948 577445 633490 682435 1154890 1266980 1364870 1501357 2309780 2729740 3002714 4651057 6005428 7506785 9302114 15013570 18604228 23255285 30027140 46510570 51161627 60463741 93021140 102323254 120927482 204646508 241854964 255808135 302318705 511616270 604637410 665101151 1023232540 1209274820 1330202302 2660404604 3325505755 6651011510 13302023020