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3121023120 = 243513004263
BaseRepresentation
bin1011101000000111…
…0000100010010000
322001111202101211220
42322001300202100
522342440214440
61233410205040
7140225154525
oct27201604220
98044671756
103121023120
111361810956
12731283780
133a97a9057
1421870b14c
15133eec8d0
hexba070890

3121023120 has 40 divisors (see below), whose sum is σ = 9675172416. Its totient is φ = 832272768.

The previous prime is 3121023097. The next prime is 3121023121. The reversal of 3121023120 is 213201213.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3121023120.

It is not an unprimeable number, because it can be changed into a prime (3121023121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6501892 + ... + 6502371.

Almost surely, 23121023120 is an apocalyptic number.

3121023120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3121023120 is an abundant number, since it is smaller than the sum of its proper divisors (6554149296).

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

3121023120 is a wasteful number, since it uses less digits than its factorization.

3121023120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13004279 (or 13004273 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 3121023120 is about 55866.1178175108. The cubic root of 3121023120 is about 1461.3884208955.

Adding to 3121023120 its reverse (213201213), we get a palindrome (3334224333).

The spelling of 3121023120 in words is "three billion, one hundred twenty-one million, twenty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 13004263 26008526 39012789 52017052 65021315 78025578 104034104 130042630 156051156 195063945 208068208 260085260 312102312 390127890 520170520 624204624 780255780 1040341040 1560511560 3121023120