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332320302120330 = 23352988211481141
BaseRepresentation
bin100101110001111100101100…
…1100011110011110110001010
31121120122111210020102210111000
41023203321121203303312022
5322024213434320322310
63134441501134315430
7126666230611604136
oct11343713143636612
91546574706383430
10332320302120330
1196984280a7a0a7
1231331a98958b76
1311357893072884
145c0c561c623c6
15286463131c4c0
hex12e3e598f3d8a

332320302120330 has 128 divisors (see below), whose sum is σ = 916757959046400. Its totient is φ = 85561780550400.

The previous prime is 332320302120319. The next prime is 332320302120347. The reversal of 332320302120330 is 33021203023233.

332320302120330 is a `hidden beast` number, since 3 + 3 + 2 + 3 + 2 + 0 + 302 + 1 + 20 + 330 = 666.

It is a super-2 number, since 2×3323203021203302 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 332320302120294 and 332320302120303.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 690451560 + ... + 690932700.

It is an arithmetic number, because the mean of its divisors is an integer number (7162171555050).

Almost surely, 2332320302120330 is an apocalyptic number.

332320302120330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

332320302120330 is an abundant number, since it is smaller than the sum of its proper divisors (584437656926070).

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

332320302120330 is a wasteful number, since it uses less digits than its factorization.

332320302120330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569397 (or 569391 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 27.

Adding to 332320302120330 its reverse (33021203023233), we get a palindrome (365341505143563).

The spelling of 332320302120330 in words is "three hundred thirty-two trillion, three hundred twenty billion, three hundred two million, one hundred twenty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 29 30 45 54 58 87 90 135 145 174 261 270 290 435 522 783 870 1305 1566 2610 3915 7830 88211 176422 264633 441055 481141 529266 793899 882110 962282 1323165 1443423 1587798 2381697 2405705 2558119 2646330 2886846 3969495 4330269 4763394 4811410 5116238 7217115 7674357 7938990 8660538 11908485 12790595 12990807 13953089 14434230 15348714 21651345 23023071 23816970 25581190 25981614 27906178 38371785 41859267 43302690 46046142 64954035 69069213 69765445 76743570 83718534 115115355 125577801 129908070 138138426 139530890 209296335 230230710 251155602 345346065 376733403 418592670 627889005 690692130 753466806 1255778010 1883667015 3767334030 42441928751 84883857502 127325786253 212209643755 254651572506 381977358759 424419287510 636628931265 763954717518 1145932076277 1230815933779 1273257862530 1909886793795 2291864152554 2461631867558 3692447801337 3819773587590 5729660381385 6154079668895 7384895602674 11077343404011 11459320762770 12308159337790 18462239006685 22154686808022 33232030212033 36924478013370 55386717020055 66464060424066 110773434040110 166160151060165 332320302120330