Search a number
-
+
13330231223310 = 2335176147609669
BaseRepresentation
bin1100000111111010111110…
…1100100110010000001110
31202012100122201210211011000
43001332233230212100032
53221400303143121220
644203453525441130
72544035361602241
oct301765754462016
952170581724130
1013330231223310
11427a357009571
1215b35a35701a6
1375905ca49131
143412881a1258
15181b3ade5390
hexc1fafb2640e

13330231223310 has 128 divisors (see below), whose sum is σ = 38255322038400. Its totient is φ = 3290780252160.

The previous prime is 13330231223303. The next prime is 13330231223329. The reversal of 13330231223310 is 1332213203331.

13330231223310 is a `hidden beast` number, since 1 + 3 + 3 + 30 + 2 + 312 + 2 + 3 + 310 = 666.

It is a super-2 number, since 2×133302312233102 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23524845 + ... + 24084824.

It is an arithmetic number, because the mean of its divisors is an integer number (298869703425).

Almost surely, 213330231223310 is an apocalyptic number.

13330231223310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13330231223310 is an abundant number, since it is smaller than the sum of its proper divisors (24925090815090).

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

13330231223310 is a wasteful number, since it uses less digits than its factorization.

13330231223310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47609763 (or 47609757 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 13330231223310 its reverse (1332213203331), we get a palindrome (14662444426641).

The spelling of 13330231223310 in words is "thirteen trillion, three hundred thirty billion, two hundred thirty-one million, two hundred twenty-three thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 61 85 90 102 122 135 153 170 183 255 270 305 306 366 459 510 549 610 765 915 918 1037 1098 1530 1647 1830 2074 2295 2745 3111 3294 4590 5185 5490 6222 8235 9333 10370 15555 16470 18666 27999 31110 46665 55998 93330 139995 279990 47609669 95219338 142829007 238048345 285658014 428487021 476096690 714145035 809364373 856974042 1285461063 1428290070 1618728746 2142435105 2428093119 2570922126 2904189809 4046821865 4284870210 4856186238 5808379618 6427305315 7284279357 8093643730 8712569427 12140465595 12854610630 14520949045 14568558714 17425138854 21852838071 24280931190 26137708281 29041898090 36421396785 43562847135 43705676142 49371226753 52275416562 72842793570 78413124843 87125694270 98742453506 109264190355 130688541405 148113680259 156826249686 218528380710 246856133765 261377082810 296227360518 392065624215 444341040777 493712267530 740568401295 784131248430 888682081554 1333023122331 1481136802590 2221705203885 2666046244662 4443410407770 6665115611655 13330231223310