Search a number
-
+
2201300121120 = 25356177432807
BaseRepresentation
bin100000000010000111101…
…101100011011000100000
321210102221101112112100120
4200002013231203120200
5242031230312333440
64403132513120240
7315016161205452
oct40020755433040
97712841475316
102201300121120
11779625592251
122b6762b59080
1312c774031689
14787874c42d2
153c3da667dd0
hex20087b63620

2201300121120 has 96 divisors (see below), whose sum is σ = 6945334720128. Its totient is φ = 586061887488.

The previous prime is 2201300121049. The next prime is 2201300121143. The reversal of 2201300121120 is 211210031022.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2201300121120.

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, 3420244 + ... + 4012563.

It is an arithmetic number, because the mean of its divisors is an integer number (72347236668).

Almost surely, 22201300121120 is an apocalyptic number.

2201300121120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2201300121120 is an abundant number, since it is smaller than the sum of its proper divisors (4744034599008).

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

2201300121120 is a wasteful number, since it uses less digits than its factorization.

2201300121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7433442 (or 7433434 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 2201300121120 its reverse (211210031022), we get a palindrome (2412510152142).

The spelling of 2201300121120 in words is "two trillion, two hundred one billion, three hundred million, one hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 617 1234 1851 2468 3085 3702 4936 6170 7404 9255 9872 12340 14808 18510 19744 24680 29616 37020 49360 59232 74040 98720 148080 296160 7432807 14865614 22298421 29731228 37164035 44596842 59462456 74328070 89193684 111492105 118924912 148656140 178387368 222984210 237849824 297312280 356774736 445968420 594624560 713549472 891936840 1189249120 1783873680 3567747360 4586041919 9172083838 13758125757 18344167676 22930209595 27516251514 36688335352 45860419190 55032503028 68790628785 73376670704 91720838380 110065006056 137581257570 146753341408 183441676760 220130012112 275162515140 366883353520 440260024224 550325030280 733766707040 1100650060560 2201300121120