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13312303020 = 223552839679
BaseRepresentation
bin11000110010111100…
…11001111110101100
31021100202110001200000
430121132121332230
5204230422144040
610040544504300
7650614465032
oct143136317654
937322401600
1013312303020
1157114a2325
1226b631b090
131341cb96a3
14904022552
1552da91130
hex319799fac

13312303020 has 144 divisors (see below), whose sum is σ = 42028546560. Its totient is φ = 3537038016.

The previous prime is 13312303007. The next prime is 13312303021. The reversal of 13312303020 is 2030321331.

13312303020 is a `hidden beast` number, since 1 + 331 + 2 + 30 + 302 + 0 = 666.

It is a super-2 number, since 2×133123030202 (a number of 21 digits) contains 22 as substring.

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 = 13312302984 and 13312303002.

It is not an unprimeable number, because it can be changed into a prime (13312303021) 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, 1370541 + ... + 1380219.

Almost surely, 213312303020 is an apocalyptic number.

13312303020 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 13312303020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21014273280).

13312303020 is an abundant number, since it is smaller than the sum of its proper divisors (28716243540).

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

13312303020 is a wasteful number, since it uses less digits than its factorization.

13312303020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9986 (or 9972 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 13312303020 its reverse (2030321331), we get a palindrome (15342624351).

The spelling of 13312303020 in words is "thirteen billion, three hundred twelve million, three hundred three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 283 324 405 486 540 566 810 849 972 1132 1215 1415 1620 1698 2430 2547 2830 3396 4245 4860 5094 5660 7641 8490 9679 10188 12735 15282 16980 19358 22923 25470 29037 30564 38205 38716 45846 48395 50940 58074 68769 76410 87111 91692 96790 114615 116148 137538 145185 152820 174222 193580 229230 261333 275076 290370 343845 348444 435555 458460 522666 580740 687690 783999 871110 1045332 1306665 1375380 1567998 1742220 2351997 2613330 2739157 3135996 3919995 4703994 5226660 5478314 7839990 8217471 9407988 10956628 11759985 13695785 15679980 16434942 23519970 24652413 27391570 32869884 41087355 47039940 49304826 54783140 73957239 82174710 98609652 123262065 147914478 164349420 221871717 246524130 295828956 369786195 443743434 493048260 665615151 739572390 887486868 1109358585 1331230302 1479144780 2218717170 2662460604 3328075755 4437434340 6656151510 13312303020