Search a number
-
+
2131200320 = 26567107929
BaseRepresentation
bin111111100000111…
…1000100101000000
312111112020012020012
41333001320211000
513331041402240
6551251004052
7103545622004
oct17701704500
95445205205
102131200320
119a4009387
124b5899628
1327c6c32a2
1416308c704
15c717bb65
hex7f078940

2131200320 has 112 divisors (see below), whose sum is σ = 5204399040. Its totient is φ = 831012864.

The previous prime is 2131200299. The next prime is 2131200329. The reversal of 2131200320 is 230021312.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2131200295 and 2131200304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131200329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2293616 + ... + 2294544.

Almost surely, 22131200320 is an apocalyptic number.

2131200320 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 2131200320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2602199520).

2131200320 is an abundant number, since it is smaller than the sum of its proper divisors (3073198720).

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

2131200320 is a wasteful number, since it uses less digits than its factorization.

2131200320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1120 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 2131200320 is about 46164.9252138461. The cubic root of 2131200320 is about 1286.8899943749.

Adding to 2131200320 its reverse (230021312), we get a palindrome (2361221632).

The spelling of 2131200320 in words is "two billion, one hundred thirty-one million, two hundred thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 67 80 107 134 160 214 268 320 335 428 535 536 670 856 929 1070 1072 1340 1712 1858 2140 2144 2680 3424 3716 4280 4288 4645 5360 6848 7169 7432 8560 9290 10720 14338 14864 17120 18580 21440 28676 29728 34240 35845 37160 57352 59456 62243 71690 74320 99403 114704 124486 143380 148640 198806 229408 248972 286760 297280 311215 397612 458816 497015 497944 573520 622430 795224 994030 995888 1147040 1244860 1590448 1988060 1991776 2294080 2489720 3180896 3976120 3983552 4979440 6361792 6660001 7952240 9958880 13320002 15904480 19917760 26640004 31808960 33300005 53280008 66600010 106560016 133200020 213120032 266400040 426240064 532800080 1065600160 2131200320