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1002032213 = 72139716217
BaseRepresentation
bin111011101110011…
…100110001010101
32120211111111210012
4323232130301111
54023010012323
6243233010005
733555063500
oct7356346125
92524444705
101002032213
114746916a6
1223b6b3905
1312c79c190
149711a137
155ce83678
hex3bb9cc55

1002032213 has 24 divisors (see below), whose sum is σ = 1268312472. Its totient is φ = 784594944.

The previous prime is 1002032201. The next prime is 1002032219. The reversal of 1002032213 is 3122302001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 108201604 + 893830609 = 10402^2 + 29897^2 .

It is not a de Polignac number, because 1002032213 - 26 = 1002032149 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002032219) 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, 53681 + ... + 69897.

It is an arithmetic number, because the mean of its divisors is an integer number (52846353).

Almost surely, 21002032213 is an apocalyptic number.

1002032213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1002032213 is a deficient number, since it is larger than the sum of its proper divisors (266280259).

1002032213 is a wasteful number, since it uses less digits than its factorization.

1002032213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16341 (or 16334 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 1002032213 is about 31654.8924022812. The cubic root of 1002032213 is about 1000.6769459741.

Adding to 1002032213 its reverse (3122302001), we get a palindrome (4124334214).

The spelling of 1002032213 in words is "one billion, two million, thirty-two thousand, two hundred thirteen".

Divisors: 1 7 13 49 91 97 637 679 1261 4753 8827 16217 61789 113519 210821 794633 1475747 1573049 10330229 11011343 20449637 77079401 143147459 1002032213