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332020322231120 = 2459792614238149
BaseRepresentation
bin100101101111110001000000…
…1010111010110001101010000
31121112120211111010100111112222
41023133202001113112031100
5322004310104442343440
63134052010320240212
7126635451046611515
oct11337420127261520
91545524433314488
10332020322231120
1196879034169396
12312a391a170068
13113354c7465953
145bdbc2567730c
15285b9257d22b5
hex12df8815d6350

332020322231120 has 40 divisors (see below), whose sum is σ = 771948219625800. Its totient is φ = 132807961935360.

The previous prime is 332020322231023. The next prime is 332020322231123. The reversal of 332020322231120 is 21132223020233.

It can be written as a sum of positive squares in 4 ways, for example, as 76198723139344 + 255821599091776 = 8729188^2 + 15994424^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×3320203222311202 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 332020322231120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332020322231123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76221806 + ... + 80459954.

It is an arithmetic number, because the mean of its divisors is an integer number (19298705490645).

Almost surely, 2332020322231120 is an apocalyptic number.

It is an amenable number.

332020322231120 is an abundant number, since it is smaller than the sum of its proper divisors (439927897394680).

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

332020322231120 is a wasteful number, since it uses less digits than its factorization.

332020322231120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5217423 (or 5217417 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 332020322231120 its reverse (21132223020233), we get a palindrome (353152545251353).

The spelling of 332020322231120 in words is "three hundred thirty-two trillion, twenty billion, three hundred twenty-two million, two hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 979261 1958522 3917044 4238149 4896305 7834088 8476298 9792610 15668176 16952596 19585220 21190745 33905192 39170440 42381490 67810384 78340880 84762980 169525960 339051920 4150254027889 8300508055778 16601016111556 20751270139445 33202032223112 41502540278890 66404064446224 83005080557780 166010161115560 332020322231120