Search a number
-
+
2131133220 = 223354783969
BaseRepresentation
bin111111100000110…
…1000001100100100
312111112002210012000
41333001220030210
513331032230340
6551245325300
7103545222246
oct17701501444
95445083160
102131133220
119a3a72a27
124b5866830
1327c69b898
14163072096
15c7166d30
hex7f068324

2131133220 has 96 divisors (see below), whose sum is σ = 6771340800. Its totient is φ = 556204032.

The previous prime is 2131133203. The next prime is 2131133261. The reversal of 2131133220 is 223311312.

2131133220 is a `hidden beast` number, since 2 + 1 + 311 + 332 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2131133193 and 2131133202.

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, 16605 + ... + 67364.

It is an arithmetic number, because the mean of its divisors is an integer number (70534800).

Almost surely, 22131133220 is an apocalyptic number.

2131133220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2131133220 is an abundant number, since it is smaller than the sum of its proper divisors (4640207580).

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

2131133220 is a wasteful number, since it uses less digits than its factorization.

2131133220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84034 (or 84026 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2131133220 is about 46164.1984659108. The cubic root of 2131133220 is about 1286.8764884922.

Adding to 2131133220 its reverse (223311312), we get a palindrome (2354444532).

The spelling of 2131133220 in words is "two billion, one hundred thirty-one million, one hundred thirty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 47 54 60 90 94 108 135 141 180 188 235 270 282 423 470 540 564 705 846 940 1269 1410 1692 2115 2538 2820 4230 5076 6345 8460 12690 25380 83969 167938 251907 335876 419845 503814 755721 839690 1007628 1259535 1511442 1679380 2267163 2519070 3022884 3778605 3946543 4534326 5038140 7557210 7893086 9068652 11335815 11839629 15114420 15786172 19732715 22671630 23679258 35518887 39465430 45343260 47358516 59198145 71037774 78930860 106556661 118396290 142075548 177594435 213113322 236792580 355188870 426226644 532783305 710377740 1065566610 2131133220