Search a number
-
+
13023023011020 = 223251144314847143
BaseRepresentation
bin1011110110000010100010…
…1010010001010011001100
31201002222200212100200001100
42331200220222101103030
53201332122342323040
643410405535343100
72512611436100451
oct275405052212314
951088625320040
1013023023011020
11417103aa86730
121563b48081a90
137360b1743369
143304639c3828
15178b5a9deb30
hexbd828a914cc

13023023011020 has 144 divisors (see below), whose sum is σ = 43191648444672. Its totient is φ = 3149969646720.

The previous prime is 13023023010979. The next prime is 13023023011039. The reversal of 13023023011020 is 2011032032031.

13023023011020 is a `hidden beast` number, since 1 + 30 + 2 + 302 + 301 + 10 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 13023023010984 and 13023023011002.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 6546432 + ... + 8300711.

It is an arithmetic number, because the mean of its divisors is an integer number (299942003088).

Almost surely, 213023023011020 is an apocalyptic number.

13023023011020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13023023011020 is an abundant number, since it is smaller than the sum of its proper divisors (30168625433652).

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

13023023011020 is a wasteful number, since it uses less digits than its factorization.

13023023011020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14847612 (or 14847607 counting only the distinct ones).

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

Adding to 13023023011020 its reverse (2011032032031), we get a palindrome (15034055043051).

The spelling of 13023023011020 in words is "thirteen trillion, twenty-three billion, twenty-three million, eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 443 495 660 886 990 1329 1772 1980 2215 2658 3987 4430 4873 5316 6645 7974 8860 9746 13290 14619 15948 19492 19935 24365 26580 29238 39870 43857 48730 58476 73095 79740 87714 97460 146190 175428 219285 292380 438570 877140 14847143 29694286 44541429 59388572 74235715 89082858 133624287 148471430 163318573 178165716 222707145 267248574 296942860 326637146 445414290 489955719 534497148 653274292 668121435 816592865 890828580 979911438 1336242870 1469867157 1633185730 1959822876 2449778595 2672485740 2939734314 3266371460 4899557190 5879468628 6577284349 7349335785 9799114380 13154568698 14698671570 19731853047 26309137396 29397343140 32886421745 39463706094 59195559141 65772843490 72350127839 78927412188 98659265235 118391118282 131545686980 144700255678 197318530470 217050383517 236782236564 289400511356 295977795705 361750639195 394637060940 434100767034 591955591410 651151150551 723501278390 868201534068 1085251917585 1183911182820 1302302301102 1447002556780 2170503835170 2604604602204 3255755752755 4341007670340 6511511505510 13023023011020