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1010022221221 = 1393782917841
BaseRepresentation
bin11101011001010100000…
…01000000010110100101
310120120001012000000101121
432230222001000112211
5113022011142034341
62051555305253541
7132654202140616
oct16545201002645
93516035000347
101010022221221
1135a391238052
121438ba4942b1
1374324766460
1436c57511c0d
151b4165634d1
hexeb2a0405a5

1010022221221 has 8 divisors (see below), whose sum is σ = 1088877101144. Its totient is φ = 931333178880.

The previous prime is 1010022221209. The next prime is 1010022221233. The reversal of 1010022221221 is 1221222200101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1010022221209) and next prime (1010022221233).

It can be written as a sum of positive squares in 4 ways, for example, as 70033800321 + 939988420900 = 264639^2 + 969530^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 1010022221221 - 213 = 1010022213029 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1010022221195 and 1010022221204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010022221261) 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, 41446740 + ... + 41471101.

It is an arithmetic number, because the mean of its divisors is an integer number (136109637643).

Almost surely, 21010022221221 is an apocalyptic number.

It is an amenable number.

1010022221221 is a deficient number, since it is larger than the sum of its proper divisors (78854879923).

1010022221221 is an equidigital number, since it uses as much as digits as its factorization.

1010022221221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82918791.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 1010022221221 its reverse (1221222200101), we get a palindrome (2231244421322).

The spelling of 1010022221221 in words is "one trillion, ten billion, twenty-two million, two hundred twenty-one thousand, two hundred twenty-one".

Divisors: 1 13 937 12181 82917841 1077931933 77694017017 1010022221221