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201213213330132 = 223273500331530293
BaseRepresentation
bin101101110000000010011010…
…000110101100101011010100
3222101102210110210112212221100
4231300002122012230223110
5202333134130103031012
61551540024001350100
760245114000422113
oct5560023206545324
9871383423485840
10201213213330132
1159127054341993
121a698576038330
13883742b1bc113
143798ab2d69c7a
15183e03dcba8dc
hexb7009a1acad4

201213213330132 has 72 divisors (see below), whose sum is σ = 515600359793064. Its totient is φ = 66150923913216.

The previous prime is 201213213330109. The next prime is 201213213330247. The reversal of 201213213330132 is 231033312312102.

201213213330132 is a `hidden beast` number, since 2 + 0 + 1 + 2 + 1 + 321 + 3 + 3 + 301 + 32 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1288488333456 + 199924724996676 = 1135116^2 + 14139474^2 .

It is a junction number, because it is equal to n+sod(n) for n = 201213213330096 and 201213213330105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 130721578 + ... + 132251870.

It is an arithmetic number, because the mean of its divisors is an integer number (7161116108237).

Almost surely, 2201213213330132 is an apocalyptic number.

It is an amenable number.

201213213330132 is an abundant number, since it is smaller than the sum of its proper divisors (314387146462932).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

201213213330132 is a wasteful number, since it uses less digits than its factorization.

201213213330132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1580409 (or 1580404 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 201213213330132 its reverse (231033312312102), we get a palindrome (432246525642234).

The spelling of 201213213330132 in words is "two hundred one trillion, two hundred thirteen billion, two hundred thirteen million, three hundred thirty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 73 146 219 292 438 657 876 1314 2628 50033 100066 150099 200132 300198 450297 600396 900594 1530293 1801188 3060586 3652409 4590879 6121172 7304818 9181758 10957227 13772637 14609636 18363516 21914454 27545274 32871681 43828908 55090548 65743362 111711389 131486724 223422778 335134167 446845556 670268334 1005402501 1340536668 2010805002 4021610004 76565149669 153130299338 229695449007 306260598676 459390898014 689086347021 918781796028 1378172694042 2756345388084 5589255925837 11178511851674 16767767777511 22357023703348 33535535555022 50303303332533 67071071110044 100606606665066 201213213330132