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2310133301120 = 27540914396133
BaseRepresentation
bin100001100111011110101…
…011001011111110000000
322011211212011100220121002
4201213132223023332000
5300322123111113440
64525132141551132
7325621154032361
oct41473653137600
98154764326532
102310133301120
118107a4029207
12313876b754a8
13139ac9883638
147db4d733b68
154015a0cb115
hex219deacbf80

2310133301120 has 128 divisors (see below), whose sum is σ = 5540915808000. Its totient is φ = 921003245568.

The previous prime is 2310133301083. The next prime is 2310133301171. The reversal of 2310133301120 is 211033310132.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2310133301092 and 2310133301101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 376669574 + ... + 376675706.

It is an arithmetic number, because the mean of its divisors is an integer number (43288404750).

Almost surely, 22310133301120 is an apocalyptic number.

2310133301120 is a gapful number since it is divisible by the number (20) 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 2310133301120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2770457904000).

2310133301120 is an abundant number, since it is smaller than the sum of its proper divisors (3230782506880).

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

2310133301120 is a wasteful number, since it uses less digits than its factorization.

2310133301120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8000 (or 7988 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 2310133301120 its reverse (211033310132), we get a palindrome (2521166611252).

The spelling of 2310133301120 in words is "two trillion, three hundred ten billion, one hundred thirty-three million, three hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 409 640 818 1439 1636 2045 2878 3272 4090 5756 6133 6544 7195 8180 11512 12266 13088 14390 16360 23024 24532 26176 28780 30665 32720 46048 49064 52352 57560 61330 65440 92096 98128 115120 122660 130880 184192 196256 230240 245320 261760 392512 460480 490640 588551 785024 920960 981280 1177102 1962560 2354204 2508397 2942755 3925120 4708408 5016794 5885510 8825387 9416816 10033588 11771020 12541985 17650774 18833632 20067176 23542040 25083970 35301548 37667264 40134352 44126935 47084080 50167940 70603096 75334528 80268704 88253870 94168160 100335880 141206192 160537408 176507740 188336320 200671760 282412384 321074816 353015480 376672640 401343520 564824768 706030960 802687040 1129649536 1412061920 1605374080 2824123840 3609583283 5648247680 7219166566 14438333132 18047916415 28876666264 36095832830 57753332528 72191665660 115506665056 144383331320 231013330112 288766662640 462026660224 577533325280 1155066650560 2310133301120