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332013111133312 = 277370550347247
BaseRepresentation
bin100101101111101101101001…
…1100011001100010010000000
31121112120010212120101210000101
41023133123103203030102000
5322004200322422231222
63134044415001332144
7126635104255363660
oct11337332343142200
91545503776353011
10332013111133312
1196875a73741924
12312a2447197054
13113349184bb27b
145bdb73da8a1a0
15285b6526ba927
hex12df6d38cc480

332013111133312 has 32 divisors (see below), whose sum is σ = 755922708385920. Its totient is φ = 142291333342464.

The previous prime is 332013111133283. The next prime is 332013111133321. The reversal of 332013111133312 is 213331111310233.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×3320131111333122 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

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 3 ways as a sum of consecutive naturals, for example, 185275172728 + ... + 185275174519.

It is an arithmetic number, because the mean of its divisors is an integer number (23622584637060).

Almost surely, 2332013111133312 is an apocalyptic number.

332013111133312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

332013111133312 is an abundant number, since it is smaller than the sum of its proper divisors (423909597252608).

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

332013111133312 is an equidigital number, since it uses as much as digits as its factorization.

332013111133312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370550347268 (or 370550347256 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 28.

Adding to 332013111133312 its reverse (213331111310233), we get a palindrome (545344222443545).

The spelling of 332013111133312 in words is "three hundred thirty-two trillion, thirteen billion, one hundred eleven million, one hundred thirty-three thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 896 370550347247 741100694494 1482201388988 2593852430729 2964402777976 5187704861458 5928805555952 10375409722916 11857611111904 20750819445832 23715222223808 41501638891664 47430444447616 83003277783328 166006555566656 332013111133312