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222002131013 = 13229353128321
BaseRepresentation
bin1100111011000001011…
…0111011000001000101
3210020000201011202011122
43032300112323001011
512114130021143023
6245553020043325
722016263656365
oct3166026730105
9706021152148
10222002131013
1186172462953
1237038093545
1317c1c739100
14aa602589a5
155b94d742c8
hex33b05bb045

222002131013 has 24 divisors (see below), whose sum is σ = 249388674120. Its totient is φ = 197296619520.

The previous prime is 222002130971. The next prime is 222002131019. The reversal of 222002131013 is 310131200222.

It can be written as a sum of positive squares in 12 ways, for example, as 134423423044 + 87578707969 = 366638^2 + 295937^2 .

It is not a de Polignac number, because 222002131013 - 214 = 222002114629 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 222002130982 and 222002131000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222002131019) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1665893 + ... + 1794213.

It is an arithmetic number, because the mean of its divisors is an integer number (10391194755).

Almost surely, 2222002131013 is an apocalyptic number.

It is an amenable number.

222002131013 is a deficient number, since it is larger than the sum of its proper divisors (27386543107).

222002131013 is a wasteful number, since it uses less digits than its factorization.

222002131013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128729 (or 128716 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 222002131013 its reverse (310131200222), we get a palindrome (532133331235).

The spelling of 222002131013 in words is "two hundred twenty-two billion, two million, one hundred thirty-one thousand, thirteen".

Divisors: 1 13 29 169 353 377 4589 4901 10237 59657 128321 133081 1668173 1730053 3721309 21686249 45297313 48377017 588865069 628901221 1313622077 7655245897 17077087001 222002131013