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331020001233 = 32257593241337
BaseRepresentation
bin1001101000100100101…
…01000101111111010001
31011122102100112100202200
410310102111011333101
520410412110014413
6412022443233413
732625661404615
oct4642225057721
91148370470680
10331020001233
11118426185359
12541a1b18869
13252a4614a1c
1412042c23345
158925b1a573
hex4d12545fd1

331020001233 has 24 divisors (see below), whose sum is σ = 480811905288. Its totient is φ = 219449720832.

The previous prime is 331020001199. The next prime is 331020001259. The reversal of 331020001233 is 332100020133.

It can be written as a sum of positive squares in 4 ways, for example, as 273562473024 + 57457528209 = 523032^2 + 239703^2 .

It is not a de Polignac number, because 331020001233 - 28 = 331020000977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (331020801233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1250941 + ... + 1492277.

It is an arithmetic number, because the mean of its divisors is an integer number (20033829387).

Almost surely, 2331020001233 is an apocalyptic number.

It is an amenable number.

331020001233 is a deficient number, since it is larger than the sum of its proper divisors (149791904055).

331020001233 is a wasteful number, since it uses less digits than its factorization.

331020001233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242193 (or 242190 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 331020001233 its reverse (332100020133), we get a palindrome (663120021366).

The spelling of 331020001233 in words is "three hundred thirty-one billion, twenty million, one thousand, two hundred thirty-three".

Divisors: 1 3 9 257 593 771 1779 2313 5337 152401 241337 457203 724011 1371609 2172033 62023609 143112841 186070827 429338523 558212481 1288015569 36780000137 110340000411 331020001233