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2131383120 = 2435103151571
BaseRepresentation
bin111111100001010…
…0101001101010000
312111112120110222120
41333002211031100
513331113224440
6551254534240
7103550312646
oct17702451520
95445513876
102131383120
119a4123759
124b5967380
1327c758559
141630d9196
15c71b5dd0
hex7f0a5350

2131383120 has 160 divisors (see below), whose sum is σ = 6727378944. Its totient is φ = 558144000.

The previous prime is 2131383077. The next prime is 2131383157. The reversal of 2131383120 is 213831312.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3732435 + ... + 3733005.

Almost surely, 22131383120 is an apocalyptic number.

2131383120 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 2131383120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3363689472).

2131383120 is an abundant number, since it is smaller than the sum of its proper divisors (4595995824).

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

2131383120 is a wasteful number, since it uses less digits than its factorization.

2131383120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 841 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 2131383120 is about 46166.9050294689. The cubic root of 2131383120 is about 1286.9267869065.

The spelling of 2131383120 in words is "two billion, one hundred thirty-one million, three hundred eighty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 103 120 151 206 240 302 309 412 453 515 571 604 618 755 824 906 1030 1142 1208 1236 1510 1545 1648 1713 1812 2060 2265 2284 2416 2472 2855 3020 3090 3426 3624 4120 4530 4568 4944 5710 6040 6180 6852 7248 8240 8565 9060 9136 11420 12080 12360 13704 15553 17130 18120 22840 24720 27408 31106 34260 36240 45680 46659 58813 62212 68520 77765 86221 93318 117626 124424 137040 155530 172442 176439 186636 233295 235252 248848 258663 294065 311060 344884 352878 373272 431105 466590 470504 517326 588130 622120 689768 705756 746544 862210 882195 933180 941008 1034652 1176260 1244240 1293315 1379536 1411512 1724420 1764390 1866360 2069304 2352520 2586630 2823024 3448840 3528780 3732720 4138608 4705040 5173260 6897680 7057560 8880763 10346520 14115120 17761526 20693040 26642289 35523052 44403815 53284578 71046104 88807630 106569156 133211445 142092208 177615260 213138312 266422890 355230520 426276624 532845780 710461040 1065691560 2131383120