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332223003202113 = 32175321057425569
BaseRepresentation
bin100101110001001111011001…
…0000101111001001001000001
31121120022012122022100121212100
41023202132302011321021001
5322021120202304431423
63134325050221021013
7126656214503465502
oct11342366205711101
91546265568317770
10332223003202113
1196946a912a97a1
12313170636b4769
131134b65803809a
145c07971836ba9
152861d392cd343
hex12e27b2179241

332223003202113 has 12 divisors (see below), whose sum is σ = 480151417847140. Its totient is φ = 221355657570816.

The previous prime is 332223003202109. The next prime is 332223003202117. The reversal of 332223003202113 is 311202300322233.

332223003202113 is a `hidden beast` number, since 3 + 3 + 2 + 2 + 2 + 300 + 320 + 21 + 13 = 666.

It is an interprime number because it is at equal distance from previous prime (332223003202109) and next prime (332223003202117).

It can be written as a sum of positive squares in 2 ways, for example, as 100197237160449 + 232025766041664 = 10009857^2 + 15232392^2 .

It is not a de Polignac number, because 332223003202113 - 22 = 332223003202109 is a prime.

It is a super-2 number, since 2×3322230032021132 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (332223003202117) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10528697008 + ... + 10528728561.

Almost surely, 2332223003202113 is an apocalyptic number.

It is an amenable number.

332223003202113 is a deficient number, since it is larger than the sum of its proper divisors (147928414645027).

332223003202113 is a wasteful number, since it uses less digits than its factorization.

332223003202113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21057427328 (or 21057427325 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 332223003202113 its reverse (311202300322233), we get a palindrome (643425303524346).

The spelling of 332223003202113 in words is "three hundred thirty-two trillion, two hundred twenty-three billion, three million, two hundred two thousand, one hundred thirteen".

Divisors: 1 3 9 1753 5259 15777 21057425569 63172276707 189516830121 36913667022457 110741001067371 332223003202113