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1001222111213 = 4161721355501
BaseRepresentation
bin11101001000111010111…
…11001111111111101101
310112201022220001002220022
432210131133033333231
5112401000330024323
62043542144331525
7132223134345332
oct16443537177755
93481286032808
101001222111213
11356685864165
12142063313ba5
137355153237c
1436660890989
151b09dbbd4c8
hexe91d7cffed

1001222111213 has 16 divisors (see below), whose sum is σ = 1042619278512. Its totient is φ = 960638400000.

The previous prime is 1001222111173. The next prime is 1001222111221. The reversal of 1001222111213 is 3121112221001.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 52238302249 + 948983808964 = 228557^2 + 974158^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001222111213 - 232 = 996927143917 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1001222111191 and 1001222111200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001222411213) 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, 18011963 + ... + 18067463.

It is an arithmetic number, because the mean of its divisors is an integer number (65163704907).

Almost surely, 21001222111213 is an apocalyptic number.

It is an amenable number.

1001222111213 is a deficient number, since it is larger than the sum of its proper divisors (41397167299).

1001222111213 is an equidigital number, since it uses as much as digits as its factorization.

1001222111213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62816.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 1001222111213 its reverse (3121112221001), we get a palindrome (4122334332214).

The spelling of 1001222111213 in words is "one trillion, one billion, two hundred twenty-two million, one hundred eleven thousand, two hundred thirteen".

Divisors: 1 41 61 2501 7213 55501 295733 439993 2275541 3385561 18039713 138808001 400328713 16413477233 24420051493 1001222111213