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3331000103220 = 2232518505556129
BaseRepresentation
bin110000011110001111000…
…100111111000100110100
3102210102220010100201021100
4300132033010333010310
5414033342011300340
611030123524250100
7462441200466216
oct60361704770464
912712803321240
103331000103220
11107473a7a0399
124596a1240930
131b215bc98a4a
14b731521a5b6
155b9a872d830
hex3078f13f134

3331000103220 has 36 divisors (see below), whose sum is σ = 10104033646980. Its totient is φ = 888266694144.

The previous prime is 3331000103183. The next prime is 3331000103227. The reversal of 3331000103220 is 223010001333.

3331000103220 is a `hidden beast` number, since 3 + 331 + 0 + 0 + 0 + 10 + 322 + 0 = 666.

3331000103220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1411101658404 + 1919898444816 = 1187898^2 + 1385604^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×33310001032202 (a number of 26 digits) contains 22 as substring.

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 = 3331000103193 and 3331000103202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3331000103227) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9252777885 + ... + 9252778244.

It is an arithmetic number, because the mean of its divisors is an integer number (280667601305).

Almost surely, 23331000103220 is an apocalyptic number.

3331000103220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3331000103220 is an abundant number, since it is smaller than the sum of its proper divisors (6773033543760).

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

3331000103220 is a wasteful number, since it uses less digits than its factorization.

3331000103220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18505556144 (or 18505556139 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 3331000103220 its reverse (223010001333), we get a palindrome (3554010104553).

The spelling of 3331000103220 in words is "three trillion, three hundred thirty-one billion, one hundred three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 18505556129 37011112258 55516668387 74022224516 92527780645 111033336774 166550005161 185055561290 222066673548 277583341935 333100010322 370111122580 555166683870 666200020644 832750025805 1110333367740 1665500051610 3331000103220