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3300012121032 = 23321110738940953
BaseRepresentation
bin110000000001011000000…
…011001101101111001000
3102200110220112000010010100
4300001120003031233020
5413031411100333112
611004001000245400
7460263243131634
oct60013003155710
912613815003110
103300012121032
1110625888a1760
12453693470860
131ac261013903
14b5a158b1dc4
155ac92ee92dc
hex300580cdbc8

3300012121032 has 96 divisors (see below), whose sum is σ = 9841157894880. Its totient is φ = 990657818880.

The previous prime is 3300012121031. The next prime is 3300012121067. The reversal of 3300012121032 is 2301212100033.

3300012121032 is a `hidden beast` number, since 3 + 300 + 0 + 121 + 210 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3300012120996 and 3300012121014.

It is not an unprimeable number, because it can be changed into a prime (3300012121031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19385733 + ... + 19555220.

It is an arithmetic number, because the mean of its divisors is an integer number (102512061405).

Almost surely, 23300012121032 is an apocalyptic number.

It is an amenable number.

3300012121032 is an abundant number, since it is smaller than the sum of its proper divisors (6541145773848).

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

3300012121032 is a wasteful number, since it uses less digits than its factorization.

3300012121032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38941083 (or 38941076 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 3300012121032 its reverse (2301212100033), we get a palindrome (5601224221065).

The spelling of 3300012121032 in words is "three trillion, three hundred billion, twelve million, one hundred twenty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 107 132 198 214 264 321 396 428 642 792 856 963 1177 1284 1926 2354 2568 3531 3852 4708 7062 7704 9416 10593 14124 21186 28248 42372 84744 38940953 77881906 116822859 155763812 233645718 311527624 350468577 428350483 467291436 700937154 856700966 934582872 1285051449 1401874308 1713401932 2570102898 2803748616 3426803864 3855154347 4166681971 5140205796 7710308694 8333363942 10280411592 12500045913 15420617388 16666727884 25000091826 30841234776 33333455768 37500137739 45833501681 50000183652 75000275478 91667003362 100000367304 137500505043 150000550956 183334006724 275001010086 300001101912 366668013448 412501515129 550002020172 825003030258 1100004040344 1650006060516 3300012121032