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332011040110233 = 311231229128839409
BaseRepresentation
bin100101101111101100101100…
…0000110110111011010011001
31121112112221112020101220102220
41023133121120012313122121
5322004132102232011413
63134043433300214253
7126635002040104551
oct11337313006673231
91545487466356386
10332011040110233
11968751006a5600
12312a1b6969a389
1311334678407823
145bdb5c49c4161
15285b580979223
hex12df6581b7699

332011040110233 has 48 divisors (see below), whose sum is σ = 504473286643200. Its totient is φ = 193877541158400.

The previous prime is 332011040110223. The next prime is 332011040110249.

332011040110233 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 332011040110233 - 225 = 332011006555801 is a prime.

It is a super-2 number, since 2×3320110401102332 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (332011040110223) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61842768 + ... + 66996641.

It is an arithmetic number, because the mean of its divisors is an integer number (10509860138400).

Almost surely, 2332011040110233 is an apocalyptic number.

332011040110233 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

332011040110233 is a deficient number, since it is larger than the sum of its proper divisors (172462246532967).

332011040110233 is a wasteful number, since it uses less digits than its factorization.

332011040110233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128839694 (or 128839683 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The spelling of 332011040110233 in words is "three hundred thirty-two trillion, eleven billion, forty million, one hundred ten thousand, two hundred thirty-three".

Divisors: 1 3 11 31 33 93 121 229 341 363 687 1023 2519 3751 7099 7557 11253 21297 27709 78089 83127 234267 858979 2576937 128839409 386518227 1417233499 3994021679 4251700497 11982065037 15589568489 29504224661 43934238469 46768705467 88512673983 131802715407 324546471271 483276623159 914630964491 973639413813 1449829869477 2743892893473 3570011183981 10060940609401 10710033551943 30182821828203 110670346703411 332011040110233