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331021202132052 = 223261233646945289
BaseRepresentation
bin100101101000011111110000…
…1001010101000110001010100
31121102001022120201121200020100
41023100333201022220301110
5321341422410221211202
63132005012501134100
7126503330655110355
oct11320774112506124
91542038521550210
10331021202132052
1196523337998053
12311621629ba330
131129221c577263
145ba5724037d2c
15284094b42741c
hex12d0fe12a8c54

331021202132052 has 72 divisors (see below), whose sum is σ = 854115286326120. Its totient is φ = 108065740907520.

The previous prime is 331021202132051. The next prime is 331021202132059. The reversal of 331021202132052 is 250231202120133.

331021202132052 is a `hidden beast` number, since 3 + 31 + 0 + 212 + 0 + 213 + 205 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 51817237956 + 330969384894096 = 227634^2 + 18192564^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331021202132051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 322960977 + ... + 323984312.

It is an arithmetic number, because the mean of its divisors is an integer number (11862712310085).

Almost surely, 2331021202132052 is an apocalyptic number.

It is an amenable number.

331021202132052 is an abundant number, since it is smaller than the sum of its proper divisors (523094084194068).

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

331021202132052 is a wasteful number, since it uses less digits than its factorization.

331021202132052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646945593 (or 646945588 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 331021202132052 its reverse (250231202120133), we get a palindrome (581252404252185).

The spelling of 331021202132052 in words is "three hundred thirty-one trillion, twenty-one billion, two hundred two million, one hundred thirty-two thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 61 122 183 233 244 366 466 549 699 732 932 1098 1398 2097 2196 2796 4194 8388 14213 28426 42639 56852 85278 127917 170556 255834 511668 646945289 1293890578 1940835867 2587781156 3881671734 5822507601 7763343468 11645015202 23290030404 39463662629 78927325258 118390987887 150738252337 157854650516 236781975774 301476504674 355172963661 452214757011 473563951548 602953009348 710345927322 904429514022 1356644271033 1420691854644 1808859028044 2713288542066 5426577084132 9195033392557 18390066785114 27585100177671 36780133570228 55170200355342 82755300533013 110340400710684 165510601066026 331021202132052