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3113322120 = 2332543201119
BaseRepresentation
bin1011100110010001…
…1000011010001000
322000222021011001200
42321210120122020
522334002301440
61232533144200
7140102541606
oct27144303210
98028234050
103113322120
111358430a97
1272a78b060
133a8010a4c
142176a4876
151334cac30
hexb9918688

3113322120 has 96 divisors (see below), whose sum is σ = 10353657600. Its totient is φ = 810907776.

The previous prime is 3113322101. The next prime is 3113322127. The reversal of 3113322120 is 212233113.

3113322120 is a `hidden beast` number, since 311 + 332 + 2 + 1 + 20 = 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 = 3113322093 and 3113322102.

It is not an unprimeable number, because it can be changed into a prime (3113322127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85080 + ... + 116039.

It is an arithmetic number, because the mean of its divisors is an integer number (107850600).

Almost surely, 23113322120 is an apocalyptic number.

3113322120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3113322120 is an abundant number, since it is smaller than the sum of its proper divisors (7240335480).

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

3113322120 is a wasteful number, since it uses less digits than its factorization.

3113322120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201179 (or 201172 counting only the distinct ones).

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

The square root of 3113322120 is about 55797.1515401996. The cubic root of 3113322120 is about 1460.1854583950.

Adding to 3113322120 its reverse (212233113), we get a palindrome (3325555233).

The spelling of 3113322120 in words is "three billion, one hundred thirteen million, three hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 43 45 60 72 86 90 120 129 172 180 215 258 344 360 387 430 516 645 774 860 1032 1290 1548 1720 1935 2580 3096 3870 5160 7740 15480 201119 402238 603357 804476 1005595 1206714 1608952 1810071 2011190 2413428 3016785 3620142 4022380 4826856 6033570 7240284 8044760 8648117 9050355 12067140 14480568 17296234 18100710 24134280 25944351 34592468 36201420 43240585 51888702 69184936 72402840 77833053 86481170 103777404 129721755 155666106 172962340 207554808 259443510 311332212 345924680 389165265 518887020 622664424 778330530 1037774040 1556661060 3113322120