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332233221133 = 1119471012571303
BaseRepresentation
bin1001101010110101010…
…01001010010000001101
31011202112220102022121001
410311122221022100031
520420403201034013
6412343102540301
733001022533102
oct4653251122015
91152486368531
10332233221133
11118998aa0430
1254480297691
1325438a87518
1412119dd4aa9
1589973b7ddd
hex4d5aa4a40d

332233221133 has 64 divisors (see below), whose sum is σ = 395321057280. Its totient is φ = 275982336000.

The previous prime is 332233221121. The next prime is 332233221143. The reversal of 332233221133 is 331122332233.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-332233221133 is a prime.

It is a super-2 number, since 2×3322332211332 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332233221143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 254974960 + ... + 254976262.

It is an arithmetic number, because the mean of its divisors is an integer number (6176891520).

Almost surely, 2332233221133 is an apocalyptic number.

It is an amenable number.

332233221133 is a deficient number, since it is larger than the sum of its proper divisors (63087836147).

332233221133 is a wasteful number, since it uses less digits than its factorization.

332233221133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1738.

The product of its digits is 11664, while the sum is 28.

Adding to 332233221133 its reverse (331122332233), we get a palindrome (663355553366).

Subtracting from 332233221133 its reverse (331122332233), we obtain a square (1110888900 = 333302).

The spelling of 332233221133 in words is "three hundred thirty-two billion, two hundred thirty-three million, two hundred twenty-one thousand, one hundred thirty-three".

Divisors: 1 11 19 47 101 209 257 517 893 1111 1303 1919 2827 4747 4883 9823 12079 14333 21109 24757 25957 52217 53713 61241 90193 131603 132869 229501 272327 285527 334871 493183 673651 992123 1163579 1219979 1447633 2500457 2524511 3683581 5425013 6185341 6362549 12799369 13419769 15738937 23179601 27505027 33821971 68038751 69988039 117521479 173128307 254975611 299039803 372041681 642617449 1292736269 1589632637 3289437833 7068791939 17485959007 30203020103 332233221133