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332023200110013 = 32325338531024511
BaseRepresentation
bin100101101111110010010110…
…0111001100101010110111101
31121112121002220200120220020010
41023133210230321211112331
5322004332003212010023
63134053204043213433
7126635612263310136
oct11337445471452675
91545532820526203
10332023200110013
119687a2806a93a5
12312a43a1b17279
131133586575c979
145bdc019970c8d
15285ba432a2093
hex12df92ce655bd

332023200110013 has 48 divisors (see below), whose sum is σ = 471636754735104. Its totient is φ = 207676012452480.

The previous prime is 332023200110009. The next prime is 332023200110023. The reversal of 332023200110013 is 310011002320233.

It is not a de Polignac number, because 332023200110013 - 22 = 332023200110009 is a prime.

It is a super-2 number, since 2×3320232001100132 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332023200110023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 323567428 + ... + 324591938.

It is an arithmetic number, because the mean of its divisors is an integer number (9825765723648).

Almost surely, 2332023200110013 is an apocalyptic number.

It is an amenable number.

332023200110013 is a deficient number, since it is larger than the sum of its proper divisors (139613554625091).

332023200110013 is a wasteful number, since it uses less digits than its factorization.

332023200110013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1028466 (or 1028443 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 332023200110013 its reverse (310011002320233), we get a palindrome (642034202430246).

The spelling of 332023200110013 in words is "three hundred thirty-two trillion, twenty-three billion, two hundred million, one hundred ten thousand, thirteen".

Divisors: 1 3 23 53 69 159 529 1219 1587 3657 3853 11559 28037 84111 88619 204209 265857 612627 1024511 2038237 3073533 4696807 6114711 14090421 23563753 54299083 70691259 108026561 162897249 324079683 541966319 1248878909 1625898957 3746636727 3947440883 11842322649 28724214907 86172644721 90791140309 209214366799 272373420927 627643100397 2088196227107 4811930436377 6264588681321 14435791309131 110674400036671 332023200110013