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31320203120 = 2451318633463
BaseRepresentation
bin11101001010110101…
…000101111101110000
32222211202111011120222
4131022311011331300
51003120432444440
622215512352212
72156100222353
oct351265057560
988752434528
1031320203120
1112312490198
1260a10a5668
132c51a54a8b
14173190829a
15c349aa2b5
hex74ad45f70

31320203120 has 80 divisors (see below), whose sum is σ = 73481582592. Its totient is φ = 12414455040.

The previous prime is 31320203099. The next prime is 31320203141. The reversal of 31320203120 is 2130202313.

It is an interprime number because it is at equal distance from previous prime (31320203099) and next prime (31320203141).

It is a tau number, because it is divible by the number of its divisors (80).

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, 9042509 + ... + 9045971.

Almost surely, 231320203120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31320203120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36740791296).

31320203120 is an abundant number, since it is smaller than the sum of its proper divisors (42161379472).

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

31320203120 is a wasteful number, since it uses less digits than its factorization.

31320203120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4470 (or 4464 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 31320203120 its reverse (2130202313), we get a palindrome (33450405433).

The spelling of 31320203120 in words is "thirty-one billion, three hundred twenty million, two hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 131 262 524 655 863 1048 1310 1726 2096 2620 3452 3463 4315 5240 6904 6926 8630 10480 13808 13852 17260 17315 27704 34520 34630 55408 69040 69260 113053 138520 226106 277040 452212 453653 565265 904424 907306 1130530 1808848 1814612 2261060 2268265 2988569 3629224 4522120 4536530 5977138 7258448 9044240 9073060 11954276 14942845 18146120 23908552 29885690 36292240 47817104 59771380 119542760 239085520 391502539 783005078 1566010156 1957512695 3132020312 3915025390 6264040624 7830050780 15660101560 31320203120