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330100230320130 = 235372812102350341
BaseRepresentation
bin100101100001110010111001…
…0111101111111000000000010
31121021210021101121200011102010
41023003211302331333000002
5321231330232430221010
63130021541411033350
7126346645301633124
oct11303456275770002
91537707347604363
10330100230320130
11961a87a3358596
123103377729b856
1311226419c956aa
145b72d17679214
1528269e7bba620
hex12c3972f7f002

330100230320130 has 128 divisors (see below), whose sum is σ = 816603081762816. Its totient is φ = 85337076787200.

The previous prime is 330100230320123. The next prime is 330100230320153. The reversal of 330100230320130 is 31023032001033.

It is a junction number, because it is equal to n+sod(n) for n = 330100230320097 and 330100230320106.

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, 6557258760 + ... + 6557309100.

It is an arithmetic number, because the mean of its divisors is an integer number (6379711576272).

Almost surely, 2330100230320130 is an apocalyptic number.

330100230320130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 330100230320130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408301540881408).

330100230320130 is an abundant number, since it is smaller than the sum of its proper divisors (486502851442686).

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

330100230320130 is a wasteful number, since it uses less digits than its factorization.

330100230320130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71692.

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 330100230320130 its reverse (31023032001033), we get a palindrome (361123262321163).

The spelling of 330100230320130 in words is "three hundred thirty trillion, one hundred billion, two hundred thirty million, three hundred twenty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 185 222 281 370 555 562 843 1110 1405 1686 2810 4215 8430 10397 20794 21023 31191 42046 50341 51985 62382 63069 100682 103970 105115 126138 151023 155955 210230 251705 302046 311910 315345 503410 630690 755115 777851 1510230 1555702 1862617 2333553 3725234 3889255 4667106 5587851 5907463 7778510 9313085 11175702 11667765 11814926 14145821 17722389 18626170 23335530 27939255 28291642 29537315 35444778 42437463 55878510 59074630 70729105 84874926 88611945 141458210 177223890 212187315 218576131 424374630 437152262 523395377 655728393 1046790754 1058318843 1092880655 1311456786 1570186131 2116637686 2185761310 2616976885 3140372262 3174956529 3278641965 5233953770 5291594215 6349913058 6557283930 7850930655 10583188430 15701861310 15874782645 31749565290 39157797191 78315594382 117473391573 195788985955 234946783146 297387594883 391577971910 587366957865 594775189766 892162784649 1174733915730 1486937974415 1784325569298 2973875948830 4460813923245 8921627846490 11003341010671 22006682021342 33010023032013 55016705053355 66020046064026 110033410106710 165050115160065 330100230320130