Search a number
-
+
332121002232330 = 232519357154388913
BaseRepresentation
bin100101110000011111111001…
…0010111000100101000001010
31121112221110100200112111002200
41023200333302113010220022
5322012432303032413310
63134210140534141030
7126645644021526033
oct11340776227045012
91545843320474080
10332121002232330
11969077a9424463
12312bb3377b1776
1311341b50b01a6c
145c02a56b47a8a
15285e36958d9c0
hex12e0ff25c4a0a

332121002232330 has 96 divisors (see below), whose sum is σ = 909217299781440. Its totient is φ = 83880755642880.

The previous prime is 332121002232319. The next prime is 332121002232361. The reversal of 332121002232330 is 33232200121233.

332121002232330 is a `hidden beast` number, since 3 + 3 + 2 + 1 + 2 + 100 + 223 + 2 + 330 = 666.

It is a super-2 number, since 2×3321210022323302 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 332121002232294 and 332121002232303.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 21088047 + ... + 33300866.

It is an arithmetic number, because the mean of its divisors is an integer number (9471013539390).

Almost surely, 2332121002232330 is an apocalyptic number.

332121002232330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

332121002232330 is an abundant number, since it is smaller than the sum of its proper divisors (577096297549110).

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

332121002232330 is a wasteful number, since it uses less digits than its factorization.

332121002232330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54392516 (or 54392513 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 332121002232330 its reverse (33232200121233), we get a palindrome (365353202353563).

The spelling of 332121002232330 in words is "three hundred thirty-two trillion, one hundred twenty-one billion, two million, two hundred thirty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 171 190 285 342 570 855 1710 3571 7142 10713 17855 21426 32139 35710 53565 64278 67849 107130 135698 160695 203547 321390 339245 407094 610641 678490 1017735 1221282 2035470 3053205 6106410 54388913 108777826 163166739 271944565 326333478 489500217 543889130 815833695 979000434 1033389347 1631667390 2066778694 2447501085 3100168041 4895002170 5166946735 6200336082 9300504123 10333893470 15500840205 18601008246 31001680410 46502520615 93005041230 194222808323 388445616646 582668424969 971114041615 1165336849938 1748005274907 1942228083230 2913342124845 3496010549814 3690233358137 5826684249690 7380466716274 8740026374535 11070700074411 17480052749070 18451166790685 22141400148822 33212100223233 36902333581370 55353500372055 66424200446466 110707000744110 166060501116165 332121002232330