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2131321220 = 2257234714083
BaseRepresentation
bin111111100001001…
…0110000110000100
312111112110100001222
41333002112012010
513331104234340
6551253335512
7103546634330
oct17702260604
95445410058
102131321220
119a40911a6
124b5937598
1327c736322
141630c07c0
15c71a28b5
hex7f096184

2131321220 has 96 divisors (see below), whose sum is σ = 5451522048. Its totient is φ = 684047232.

The previous prime is 2131321211. The next prime is 2131321223. The reversal of 2131321220 is 221231312.

It is not an unprimeable number, because it can be changed into a prime (2131321223) 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, 144299 + ... + 158381.

It is an arithmetic number, because the mean of its divisors is an integer number (56786688).

Almost surely, 22131321220 is an apocalyptic number.

2131321220 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 2131321220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2725761024).

2131321220 is an abundant number, since it is smaller than the sum of its proper divisors (3320200828).

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

2131321220 is a wasteful number, since it uses less digits than its factorization.

2131321220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14169 (or 14167 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 2131321220 is about 46166.2346309508. The cubic root of 2131321220 is about 1286.9143284019.

Adding to 2131321220 its reverse (221231312), we get a palindrome (2352552532).

The spelling of 2131321220 in words is "two billion, one hundred thirty-one million, three hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 47 70 92 94 115 140 161 188 230 235 322 329 460 470 644 658 805 940 1081 1316 1610 1645 2162 3220 3290 4324 5405 6580 7567 10810 14083 15134 21620 28166 30268 37835 56332 70415 75670 98581 140830 151340 197162 281660 323909 394324 492905 647818 661901 985810 1295636 1323802 1619545 1971620 2267363 2647604 3239090 3309505 4534726 4633307 6478180 6619010 9069452 9266614 11336815 13238020 15223723 18533228 22673630 23166535 30447446 45347260 46333070 60894892 76118615 92666140 106566061 152237230 213132122 304474460 426264244 532830305 1065660610 2131321220