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332311013222130 = 232510084736613331
BaseRepresentation
bin100101110001111000010111…
…1111001011110011011110010
31121120121121210212201212122100
41023203300233321132123302
5322024040423341102010
63134433323313121230
7126665451460352235
oct11343605771363362
91546547725655570
10332311013222130
11969803446a7428
1231330125b59216
1311356a427b09c7
145c0bd2032741c
15286428aac62c0
hex12e3c2fe5e6f2

332311013222130 has 48 divisors (see below), whose sum is σ = 864017225495424. Its totient is φ = 88615389052320.

The previous prime is 332311013222087. The next prime is 332311013222137. The reversal of 332311013222130 is 31222310113233.

332311013222130 is a `hidden beast` number, since 3 + 3 + 2 + 311 + 0 + 1 + 322 + 21 + 3 + 0 = 666.

It is a super-2 number, since 2×3323110132221302 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 332311013222094 and 332311013222103.

It is not an unprimeable number, because it can be changed into a prime (332311013222137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9230436 + ... + 27382895.

It is an arithmetic number, because the mean of its divisors is an integer number (18000358864488).

Almost surely, 2332311013222130 is an apocalyptic number.

332311013222130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

332311013222130 is an abundant number, since it is smaller than the sum of its proper divisors (531706212273294).

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

332311013222130 is a wasteful number, since it uses less digits than its factorization.

332311013222130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36714191 (or 36714188 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 332311013222130 its reverse (31222310113233), we get a palindrome (363533323335363).

The spelling of 332311013222130 in words is "three hundred thirty-two trillion, three hundred eleven billion, thirteen million, two hundred twenty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 100847 201694 302541 504235 605082 907623 1008470 1512705 1815246 3025410 4538115 9076230 36613331 73226662 109839993 183066655 219679986 329519979 366133310 549199965 659039958 1098399930 1647599895 3295199790 3692344591357 7384689182714 11077033774071 18461722956785 22154067548142 33231101322213 36923445913570 55385168870355 66462202644426 110770337740710 166155506611065 332311013222130