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12213310231320 = 23351183111475997
BaseRepresentation
bin1011000110111010001000…
…0001001001001100011000
31121020120200120220121010020
42301232202001021030120
53100100324404400240
641550414532350440
72400245133035442
oct261564201111430
947216616817106
1012213310231320
1139896aa252880
121453030a75420
136a7930451483
143031ad703492
15162a69b770d0
hexb1ba2049318

12213310231320 has 128 divisors (see below), whose sum is σ = 40452410154240. Its totient is φ = 2925130135040.

The previous prime is 12213310231313. The next prime is 12213310231321. The reversal of 12213310231320 is 2313201331221.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12213310231321) by changing a digit.

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, 55628439 + ... + 55847558.

It is an arithmetic number, because the mean of its divisors is an integer number (316034454330).

Almost surely, 212213310231320 is an apocalyptic number.

12213310231320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12213310231320 is an abundant number, since it is smaller than the sum of its proper divisors (28239099922920).

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

12213310231320 is a wasteful number, since it uses less digits than its factorization.

12213310231320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111476105 (or 111476101 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 12213310231320 its reverse (2313201331221), we get a palindrome (14526511562541).

The spelling of 12213310231320 in words is "twelve trillion, two hundred thirteen billion, three hundred ten million, two hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 83 88 110 120 132 165 166 220 249 264 330 332 415 440 498 660 664 830 913 996 1245 1320 1660 1826 1992 2490 2739 3320 3652 4565 4980 5478 7304 9130 9960 10956 13695 18260 21912 27390 36520 54780 109560 111475997 222951994 334427991 445903988 557379985 668855982 891807976 1114759970 1226235967 1337711964 1672139955 2229519940 2452471934 2675423928 3344279910 3678707901 4459039880 4904943868 6131179835 6688559820 7357415802 9252507751 9809887736 12262359670 13377119640 14714831604 18393539505 18505015502 24524719340 27757523253 29429663208 36787079010 37010031004 46262538755 49049438680 55515046506 73574158020 74020062008 92525077510 101777585261 111030093012 138787616265 147148316040 185050155020 203555170522 222060186024 277575232530 305332755783 370100310040 407110341044 508887926305 555150465060 610665511566 814220682088 1017775852610 1110300930120 1221331023132 1526663778915 2035551705220 2442662046264 3053327557830 4071103410440 6106655115660 12213310231320