Search a number
-
+
2201101200020 = 2251929311642241
BaseRepresentation
bin100000000001111011110…
…110101110101010010100
321210102102112020021220102
4200001323312232222110
5242030323401400040
64403101045353232
7315011224333532
oct40017366565224
97712375207812
102201101200020
11779533276948
122b6708408818
1312c741a64498
1478768d03152
153c3c7e73515
hex2007bdaea94

2201101200020 has 96 divisors (see below), whose sum is σ = 5049563500800. Its totient is φ = 802748620800.

The previous prime is 2201101199951. The next prime is 2201101200037. The reversal of 2201101200020 is 200021011022.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2201101199974 and 2201101200010.

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, 3106100 + ... + 3748340.

It is an arithmetic number, because the mean of its divisors is an integer number (52599619800).

Almost surely, 22201101200020 is an apocalyptic number.

2201101200020 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 2201101200020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2524781750400).

2201101200020 is an abundant number, since it is smaller than the sum of its proper divisors (2848462300780).

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

2201101200020 is a wasteful number, since it uses less digits than its factorization.

2201101200020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642609 (or 642607 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 2201101200020 its reverse (200021011022), we get a palindrome (2401122211042).

The spelling of 2201101200020 in words is "two trillion, two hundred one billion, one hundred one million, two hundred thousand, twenty".

Divisors: 1 2 4 5 10 19 20 29 38 58 76 95 116 145 190 290 311 380 551 580 622 1102 1244 1555 2204 2755 3110 5510 5909 6220 9019 11020 11818 18038 23636 29545 36076 45095 59090 90190 118180 171361 180380 342722 642241 685444 856805 1284482 1713610 2568964 3211205 3427220 6422410 12202579 12844820 18624989 24405158 37249978 48810316 61012895 74499956 93124945 122025790 186249890 199736951 244051580 353874791 372499780 399473902 707749582 798947804 998684755 1415499164 1769373955 1997369510 3538747910 3795002069 3994739020 5792371579 7077495820 7590004138 11584743158 15180008276 18975010345 23169486316 28961857895 37950020690 57923715790 75900041380 110055060001 115847431580 220110120002 440220240004 550275300005 1100550600010 2201101200020