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332031013100233 = 31238330491474129
BaseRepresentation
bin100101101111110101111111…
…0100101110001101011001001
31121112121212002012002220221021
41023133223332211301223021
5322004444003323201413
63134100535222512441
7126636310013525236
oct11337537645615311
91545555065086837
10332031013100233
119688261a956607
12312a5a02595721
131133650c3163c5
145bdc55b47878d
15285bd4e15c18d
hex12dfafe971ac9

332031013100233 has 16 divisors (see below), whose sum is σ = 342998209792000. Its totient is φ = 321079937610240.

The previous prime is 332031013100177. The next prime is 332031013100273. The reversal of 332031013100233 is 332001310130233.

It is a cyclic number.

It is not a de Polignac number, because 332031013100233 - 241 = 329831989844681 is a prime.

It is a super-3 number, since 3×3320310131002333 (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 332031013100198 and 332031013100207.

It is not an unprimeable number, because it can be changed into a prime (332031013100273) 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, 224501713 + ... + 225975841.

It is an arithmetic number, because the mean of its divisors is an integer number (21437388112000).

Almost surely, 2332031013100233 is an apocalyptic number.

It is an amenable number.

332031013100233 is a deficient number, since it is larger than the sum of its proper divisors (10967196691767).

332031013100233 is a wasteful number, since it uses less digits than its factorization.

332031013100233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1479592.

The product of its (nonzero) digits is 2916, while the sum is 25.

Adding to 332031013100233 its reverse (332001310130233), we get a palindrome (664032323230466).

The spelling of 332031013100233 in words is "three hundred thirty-two trillion, thirty-one billion, thirteen million, one hundred thousand, two hundred thirty-three".

Divisors: 1 31 2383 3049 73873 94519 1474129 7265767 45697999 225238777 3512849407 4494619321 108898331617 139333198951 10710677841943 332031013100233