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331202002120 = 235111739714481
BaseRepresentation
bin1001101000111010010…
…11010111110011001000
31011122220000222222001021
410310131023113303020
520411300203031440
6412052504202224
732633331365503
oct4643513276310
91148800888037
10331202002120
11118509994310
1254232a69374
1325303239562
141205d07c13a
158936abb84a
hex4d1d2d7cc8

331202002120 has 128 divisors (see below), whose sum is σ = 818674231680. Its totient is φ = 119590912000.

The previous prime is 331202002093. The next prime is 331202002129. The reversal of 331202002120 is 21200202133.

It is a junction number, because it is equal to n+sod(n) for n = 331202002094 and 331202002103.

It is not an unprimeable number, because it can be changed into a prime (331202002129) 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, 73910280 + ... + 73914760.

It is an arithmetic number, because the mean of its divisors is an integer number (6395892435).

Almost surely, 2331202002120 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 331202002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409337115840).

331202002120 is an abundant number, since it is smaller than the sum of its proper divisors (487472229560).

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

331202002120 is a wasteful number, since it uses less digits than its factorization.

331202002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5647 (or 5643 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 331202002120 its reverse (21200202133), we get a palindrome (352402204253).

The spelling of 331202002120 in words is "three hundred thirty-one billion, two hundred two million, two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 173 220 346 440 692 865 971 1384 1730 1903 1942 3460 3806 3884 4481 4855 6920 7612 7768 8962 9515 9710 10681 15224 17924 19030 19420 21362 22405 35848 38060 38840 42724 44810 49291 53405 76120 85448 89620 98582 106810 167983 179240 197164 213620 246455 335966 394328 427240 492910 671932 775213 839915 985820 1343864 1550426 1679830 1847813 1971640 3100852 3359660 3695626 3876065 4351051 6201704 6719320 7391252 7752130 8527343 8702102 9239065 14782504 15504260 17054686 17404204 18478130 21755255 31008520 34109372 34808408 36956260 42636715 43510510 47861561 68218744 73912520 85273430 87021020 95723122 170546860 174042040 191446244 239307805 341093720 382892488 478615610 752731823 957231220 1505463646 1914462440 3010927292 3763659115 6021854584 7527318230 8280050053 15054636460 16560100106 30109272920 33120200212 41400250265 66240400424 82800500530 165601001060 331202002120