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332113320132 = 2231119409132369
BaseRepresentation
bin1001101010100110111…
…11110001100011000100
31011202020112210201100020
410311103133301203010
520420132002221012
6412323141015140
732665035433356
oct4652337614304
91152215721306
10332113320132
11118937346aa0
12544480b44b0
1325419c96699
14121081030d6
15898bad1a8c
hex4d537f18c4

332113320132 has 96 divisors (see below), whose sum is σ = 890118028800. Its totient is φ = 95317286400.

The previous prime is 332113320131. The next prime is 332113320157. The reversal of 332113320132 is 231023311233.

It is a super-2 number, since 2×3321133201322 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (332113320131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10244044 + ... + 10276412.

It is an arithmetic number, because the mean of its divisors is an integer number (9272062800).

Almost surely, 2332113320132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 332113320132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445059014400).

332113320132 is an abundant number, since it is smaller than the sum of its proper divisors (558004708668).

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

332113320132 is a wasteful number, since it uses less digits than its factorization.

332113320132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36497 (or 36495 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 332113320132 its reverse (231023311233), we get a palindrome (563136631365).

The spelling of 332113320132 in words is "three hundred thirty-two billion, one hundred thirteen million, three hundred twenty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 114 132 209 228 418 627 836 1254 2508 4091 8182 12273 16364 24546 32369 45001 49092 64738 77729 90002 97107 129476 135003 155458 180004 194214 233187 270006 310916 356059 388428 466374 540012 615011 712118 855019 932748 1068177 1230022 1424236 1710038 1845033 2136354 2460044 2565057 3420076 3690066 4272708 5130114 6765121 7380132 10260228 13530242 20295363 27060484 40590726 81181452 132421579 264843158 397264737 529686316 794529474 1456637369 1589058948 2516010001 2913274738 4369912107 5032020002 5826549476 7548030003 8739824214 10064040004 15096060006 17479648428 27676110011 30192120012 55352220022 83028330033 110704440044 166056660066 332113320132