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1010212021220 = 225101500104961
BaseRepresentation
bin11101011001101010101…
…01000010001111100100
310120120112102010212001012
432230311111002033210
5113022403234134340
62052030205321352
7132661665333443
oct16546525021744
93516472125035
101010212021220
1135a479393656
12143951b66258
1374354b8bb4c
1436c747dad5a
151b428055565
hexeb355423e4

1010212021220 has 24 divisors (see below), whose sum is σ = 2142449657208. Its totient is φ = 400083968000.

The previous prime is 1010212021219. The next prime is 1010212021223. The reversal of 1010212021220 is 221202120101.

1010212021220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 513928404544 + 496283616676 = 716888^2 + 704474^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1010212021195 and 1010212021204.

It is not an unprimeable number, because it can be changed into a prime (1010212021223) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 250050461 + ... + 250054500.

It is an arithmetic number, because the mean of its divisors is an integer number (89268735717).

Almost surely, 21010212021220 is an apocalyptic number.

1010212021220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010212021220 is an abundant number, since it is smaller than the sum of its proper divisors (1132237635988).

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

1010212021220 is a wasteful number, since it uses less digits than its factorization.

1010212021220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500105071 (or 500105069 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1010212021220 its reverse (221202120101), we get a palindrome (1231414141321).

The spelling of 1010212021220 in words is "one trillion, ten billion, two hundred twelve million, twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 101 202 404 505 1010 2020 500104961 1000209922 2000419844 2500524805 5001049610 10002099220 50510601061 101021202122 202042404244 252553005305 505106010610 1010212021220