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31120211313120 = 2535219053295973
BaseRepresentation
bin1110001001101101111010…
…01001000000000111100000
311002012001201000220121120110
413010312331021000013200
513034333143044004440
6150104232215211320
76361234563423666
oct704667511000740
9132161630817513
1031120211313120
119a09009a90806
1235a737b976b40
13144981460a8a7
14798324c24c36
1538e794d37080
hex1c4dbd2401e0

31120211313120 has 96 divisors (see below), whose sum is σ = 98029444357152. Its totient is φ = 8298657093632.

The previous prime is 31120211313119. The next prime is 31120211313167. The reversal of 31120211313120 is 2131311202113.

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, 104997454 + ... + 105293426.

It is an arithmetic number, because the mean of its divisors is an integer number (1021140045387).

Almost surely, 231120211313120 is an apocalyptic number.

31120211313120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31120211313120 is an abundant number, since it is smaller than the sum of its proper divisors (66909233044032).

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

31120211313120 is a wasteful number, since it uses less digits than its factorization.

31120211313120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515044 (or 515036 counting only the distinct ones).

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

Adding to 31120211313120 its reverse (2131311202113), we get a palindrome (33251522515233).

The spelling of 31120211313120 in words is "thirty-one trillion, one hundred twenty billion, two hundred eleven million, three hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 219053 295973 438106 591946 657159 876212 887919 1095265 1183892 1314318 1479865 1752424 1775838 2190530 2367784 2628636 2959730 3285795 3504848 3551676 4381060 4439595 4735568 5257272 5919460 6571590 7009696 7103352 8762120 8879190 9471136 10514544 11838920 13143180 14206704 17524240 17758380 21029088 23677840 26286360 28413408 35048480 35516760 47355680 52572720 71033520 105145440 142067040 64833773569 129667547138 194501320707 259335094276 324168867845 389002641414 518670188552 648337735690 778005282828 972506603535 1037340377104 1296675471380 1556010565656 1945013207070 2074680754208 2593350942760 3112021131312 3890026414140 5186701885520 6224042262624 7780052828280 10373403771040 15560105656560 31120211313120