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1311211233120 = 25352779861697
BaseRepresentation
bin10011000101001010010…
…001111001111101100000
311122100110120021002211110
4103011022101321331200
5132440330033424440
62442210115143320
7163506015405255
oct23051221717540
94570416232743
101311211233120
11466099615608
12192155ba4b40
1396853a0cca9
144766a52342c
15241932dc080
hex1314a479f60

1311211233120 has 96 divisors (see below), whose sum is σ = 4145226690528. Its totient is φ = 348393996288.

The previous prime is 1311211233119. The next prime is 1311211233161. The reversal of 1311211233120 is 213321121131.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 4797889 + ... + 5063808.

It is an arithmetic number, because the mean of its divisors is an integer number (43179444693).

Almost surely, 21311211233120 is an apocalyptic number.

1311211233120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1311211233120 is an abundant number, since it is smaller than the sum of its proper divisors (2834015457408).

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

1311211233120 is a wasteful number, since it uses less digits than its factorization.

1311211233120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9861992 (or 9861984 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 1311211233120 its reverse (213321121131), we get a palindrome (1524532354251).

The spelling of 1311211233120 in words is "one trillion, three hundred eleven billion, two hundred eleven million, two hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 277 480 554 831 1108 1385 1662 2216 2770 3324 4155 4432 5540 6648 8310 8864 11080 13296 16620 22160 26592 33240 44320 66480 132960 9861697 19723394 29585091 39446788 49308485 59170182 78893576 98616970 118340364 147925455 157787152 197233940 236680728 295850910 315574304 394467880 473361456 591701820 788935760 946722912 1183403640 1577871520 2366807280 2731690069 4733614560 5463380138 8195070207 10926760276 13658450345 16390140414 21853520552 27316900690 32780280828 40975351035 43707041104 54633801380 65560561656 81950702070 87414082208 109267602760 131121123312 163901404140 218535205520 262242246624 327802808280 437070411040 655605616560 1311211233120