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3121103310 = 235138002829
BaseRepresentation
bin1011101000001000…
…0100000111001110
322001111220110211220
42322002010013032
522343000301220
61233412024210
7140225640363
oct27202040716
98044813756
103121103310
111361866126
12731302066
133a98066c0
1421872c46a
15134016540
hexba0841ce

3121103310 has 32 divisors (see below), whose sum is σ = 8066852640. Its totient is φ = 768271488.

The previous prime is 3121103303. The next prime is 3121103333. The reversal of 3121103310 is 133011213.

It is a super-3 number, since 3×31211033103 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 3121103310.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4001025 + ... + 4001804.

It is an arithmetic number, because the mean of its divisors is an integer number (252089145).

Almost surely, 23121103310 is an apocalyptic number.

3121103310 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3121103310 is an abundant number, since it is smaller than the sum of its proper divisors (4945749330).

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

3121103310 is a wasteful number, since it uses less digits than its factorization.

3121103310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8002852.

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 3121103310 is about 55866.8355108825. The cubic root of 3121103310 is about 1461.4009368482.

Adding to 3121103310 its reverse (133011213), we get a palindrome (3254114523).

The spelling of 3121103310 in words is "three billion, one hundred twenty-one million, one hundred three thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 390 8002829 16005658 24008487 40014145 48016974 80028290 104036777 120042435 208073554 240084870 312110331 520183885 624220662 1040367770 1560551655 3121103310