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1012002110220 = 2235101363166399
BaseRepresentation
bin11101011101000000000…
…01101011101100001100
310120202011011111210111210
432232200001223230030
5113040040020011340
62052523553214420
7133054233002013
oct16564001535414
93522134453453
101012002110220
11360207898a52
12144171561410
137457b9bb9ca
1436da4453a7a
151b4d02a2180
hexeba006bb0c

1012002110220 has 48 divisors (see below), whose sum is σ = 2833650892800. Its totient is φ = 269862945216.

The previous prime is 1012002110209. The next prime is 1012002110237. The reversal of 1012002110220 is 220112002101.

It is a super-3 number, since 3×10120021102203 (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1012002110196 and 1012002110205.

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, 5998581 + ... + 6164979.

It is an arithmetic number, because the mean of its divisors is an integer number (59034393600).

Almost surely, 21012002110220 is an apocalyptic number.

1012002110220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012002110220 is an abundant number, since it is smaller than the sum of its proper divisors (1821648782580).

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

1012002110220 is a wasteful number, since it uses less digits than its factorization.

1012002110220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267774 (or 267772 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1012002110220 its reverse (220112002101), we get a palindrome (1232114112321).

The spelling of 1012002110220 in words is "one trillion, twelve billion, two million, one hundred ten thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 101363 166399 202726 304089 332798 405452 499197 506815 608178 665596 831995 998394 1013630 1216356 1520445 1663990 1996788 2027260 2495985 3040890 3327980 4991970 6081780 9983940 16866701837 33733403674 50600105511 67466807348 84333509185 101200211022 168667018370 202400422044 253000527555 337334036740 506001055110 1012002110220