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332301331131030 = 23255185971197613
BaseRepresentation
bin100101110001110011110111…
…0110011001110101010010110
31121120120200211010011200112200
41023203213232303032222112
5322023411111232143110
63134425042444225330
7126664656523056342
oct11343475663165226
91546520733150480
10332301331131030
1196977226389048
123132a28353b246
1311355b5b921a11
145c0b6824ba622
152863dc0ab36c0
hex12e39eeccea96

332301331131030 has 48 divisors (see below), whose sum is σ = 864000133317360. Its totient is φ = 88611978314304.

The previous prime is 332301331130987. The next prime is 332301331131059. The reversal of 332301331131030 is 30131133103233.

332301331131030 is a `hidden beast` number, since 3 + 3 + 2 + 3 + 0 + 1 + 3 + 311 + 310 + 30 = 666.

It is a super-2 number, since 2×3323013311310302 (a number of 30 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 332301331130985 and 332301331131003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30931497 + ... + 40266116.

It is an arithmetic number, because the mean of its divisors is an integer number (18000002777445).

Almost surely, 2332301331131030 is an apocalyptic number.

332301331131030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

332301331131030 is an abundant number, since it is smaller than the sum of its proper divisors (531698802186330).

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

332301331131030 is a wasteful number, since it uses less digits than its factorization.

332301331131030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71249485 (or 71249482 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 27.

Adding to 332301331131030 its reverse (30131133103233), we get a palindrome (362432464234263).

The spelling of 332301331131030 in words is "three hundred thirty-two trillion, three hundred one billion, three hundred thirty-one million, one hundred thirty-one thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 51859 103718 155577 259295 311154 466731 518590 777885 933462 1555770 2333655 4667310 71197613 142395226 213592839 355988065 427185678 640778517 711976130 1067964195 1281557034 2135928390 3203892585 6407785170 3692237012567 7384474025134 11076711037701 18461185062835 22153422075402 33230133113103 36922370125670 55383555188505 66460266226206 110767110377010 166150665565515 332301331131030