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2131203120 = 243522739119
BaseRepresentation
bin111111100000111…
…1001010000110000
312111112020100001220
41333001321100300
513331041444440
6551251025040
7103545633114
oct17701712060
95445210056
102131203120
119a40104a2
124b589b180
1327c6c4647
1416308d744
15c717c8d0
hex7f079430

2131203120 has 80 divisors (see below), whose sum is σ = 6636003840. Its totient is φ = 565802752.

The previous prime is 2131203091. The next prime is 2131203149. The reversal of 2131203120 is 213021312.

It is an interprime number because it is at equal distance from previous prime (2131203091) and next prime (2131203149).

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

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2131203120.

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, 34921 + ... + 74039.

It is an arithmetic number, because the mean of its divisors is an integer number (82950048).

Almost surely, 22131203120 is an apocalyptic number.

2131203120 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 2131203120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3318001920).

2131203120 is an abundant number, since it is smaller than the sum of its proper divisors (4504800720).

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

2131203120 is a wasteful number, since it uses less digits than its factorization.

2131203120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39362 (or 39356 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 2131203120 is about 46164.9555398898. The cubic root of 2131203120 is about 1286.8905579526.

Adding to 2131203120 its reverse (213021312), we get a palindrome (2344224432).

The spelling of 2131203120 in words is "two billion, one hundred thirty-one million, two hundred three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 227 240 454 681 908 1135 1362 1816 2270 2724 3405 3632 4540 5448 6810 9080 10896 13620 18160 27240 39119 54480 78238 117357 156476 195595 234714 312952 391190 469428 586785 625904 782380 938856 1173570 1564760 1877712 2347140 3129520 4694280 8880013 9388560 17760026 26640039 35520052 44400065 53280078 71040104 88800130 106560156 133200195 142080208 177600260 213120312 266400390 355200520 426240624 532800780 710401040 1065601560 2131203120