Search a number
-
+
2201012211220 = 2251092334333213
BaseRepresentation
bin100000000001110110100…
…011010000111000010100
321210102012022210012012221
4200001312203100320110
5242030133111224340
64403044150152124
7315006064052134
oct40016643207024
97712168705187
102201012211220
11779498016289
122b66a2652644
1312c7294a78a4
147875b17aac4
153c3c024644a
hex200768d0e14

2201012211220 has 48 divisors (see below), whose sum is σ = 4684550991120. Its totient is φ = 868583678976.

The previous prime is 2201012211161. The next prime is 2201012211239. The reversal of 2201012211220 is 221122101022.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 91133949456 + 2109878261764 = 301884^2 + 1452542^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2201012211194 and 2201012211203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1658667 + ... + 2674546.

It is an arithmetic number, because the mean of its divisors is an integer number (97594812315).

Almost surely, 22201012211220 is an apocalyptic number.

2201012211220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2201012211220 is an abundant number, since it is smaller than the sum of its proper divisors (2483538779900).

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

2201012211220 is a wasteful number, since it uses less digits than its factorization.

2201012211220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4333564 (or 4333562 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 2201012211220 its reverse (221122101022), we get a palindrome (2422134312242).

The spelling of 2201012211220 in words is "two trillion, two hundred one billion, twelve million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 109 218 233 436 466 545 932 1090 1165 2180 2330 4660 25397 50794 101588 126985 253970 507940 4333213 8666426 17332852 21666065 43332130 86664260 472320217 944640434 1009638629 1889280868 2019277258 2361601085 4038554516 4723202170 5048193145 9446404340 10096386290 20192772580 110050610561 220101221122 440202442244 550253052805 1100506105610 2201012211220