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2031132120 = 2335173133181
BaseRepresentation
bin111100100010000…
…1001110111011000
312020112221012110120
41321010021313120
513124432211440
6533314113240
7101222223663
oct17104116730
95215835416
102031132120
11952580696
1248827b820
13264a57734
14153a806da
15bd4b1dd0
hex79109dd8

2031132120 has 128 divisors (see below), whose sum is σ = 6474479040. Its totient is φ = 507985920.

The previous prime is 2031132109. The next prime is 2031132127. The reversal of 2031132120 is 212311302.

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 2031132120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2031132127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 636930 + ... + 640110.

Almost surely, 22031132120 is an apocalyptic number.

2031132120 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 2031132120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3237239520).

2031132120 is an abundant number, since it is smaller than the sum of its proper divisors (4443346920).

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

2031132120 is a wasteful number, since it uses less digits than its factorization.

2031132120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3525 (or 3521 counting only the distinct ones).

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

The square root of 2031132120 is about 45068.0831631433. The cubic root of 2031132120 is about 1266.4247555873.

Adding to 2031132120 its reverse (212311302), we get a palindrome (2243443422).

The spelling of 2031132120 in words is "two billion, thirty-one million, one hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 313 340 408 510 626 680 939 1020 1252 1565 1878 2040 2504 3130 3181 3756 4695 5321 6260 6362 7512 9390 9543 10642 12520 12724 15905 15963 18780 19086 21284 25448 26605 31810 31926 37560 38172 42568 47715 53210 54077 63620 63852 76344 79815 95430 106420 108154 127240 127704 159630 162231 190860 212840 216308 270385 319260 324462 381720 432616 540770 638520 648924 811155 995653 1081540 1297848 1622310 1991306 2163080 2986959 3244620 3982612 4978265 5973918 6489240 7965224 9956530 11947836 14934795 16926101 19913060 23895672 29869590 33852202 39826120 50778303 59739180 67704404 84630505 101556606 119478360 135408808 169261010 203113212 253891515 338522020 406226424 507783030 677044040 1015566060 2031132120