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110320001301220 = 22518139776763573
BaseRepresentation
bin11001000101010111100000…
…011111010011101011100100
3112110121111012120110012001021
4121011113200133103223210
5103424440330313114340
61030344150422140524
732144233321635604
oct3105274037235344
9473544176405037
10110320001301220
11321734a47750a7
1210458909281744
134973192b42039
141d357335c6c04
15cb4a22ce7e4a
hex6455e07d3ae4

110320001301220 has 48 divisors (see below), whose sum is σ = 233538742343088. Its totient is φ = 43773659297280.

The previous prime is 110320001301163. The next prime is 110320001301227. The reversal of 110320001301220 is 22103100023011.

It can be written as a sum of positive squares in 8 ways, for example, as 178712489536 + 110141288811684 = 422744^2 + 10494822^2 .

It is a junction number, because it is equal to n+sod(n) for n = 110320001301194 and 110320001301203.

It is not an unprimeable number, because it can be changed into a prime (110320001301227) 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, 36944647 + ... + 39818926.

It is an arithmetic number, because the mean of its divisors is an integer number (4865390465481).

Almost surely, 2110320001301220 is an apocalyptic number.

110320001301220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110320001301220 is an abundant number, since it is smaller than the sum of its proper divisors (123218741041868).

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

110320001301220 is a wasteful number, since it uses less digits than its factorization.

110320001301220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76764160 (or 76764158 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 110320001301220 its reverse (22103100023011), we get a palindrome (132423101324231).

The spelling of 110320001301220 in words is "one hundred ten trillion, three hundred twenty billion, one million, three hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 181 362 397 724 794 905 1588 1810 1985 3620 3970 7940 71857 143714 287428 359285 718570 1437140 76763573 153527146 307054292 383817865 767635730 1535271460 13894206713 27788413426 30475138481 55576826852 60950276962 69471033565 121900553924 138942067130 152375692405 277884134260 304751384810 609502769620 5516000065061 11032000130122 22064000260244 27580000325305 55160000650610 110320001301220