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3120131344 = 2411292272693
BaseRepresentation
bin1011100111111001…
…0110110100010000
322001110002002120011
42321332112310100
522342223200334
61233335124304
7140214451561
oct27176266420
98043062504
103120131344
111361261950
12730b13694
133a9556185
14218558168
15133dc3564
hexb9f96d10

3120131344 has 80 divisors (see below), whose sum is σ = 6854829120. Its totient is φ = 1362798080.

The previous prime is 3120131327. The next prime is 3120131389. The reversal of 3120131344 is 4431310213.

It is a super-2 number, since 2×31201313442 = 19470439207622492672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1157262 + ... + 1159954.

It is an arithmetic number, because the mean of its divisors is an integer number (85685364).

Almost surely, 23120131344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3120131344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3427414560).

3120131344 is an abundant number, since it is smaller than the sum of its proper divisors (3734697776).

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

3120131344 is a wasteful number, since it uses less digits than its factorization.

3120131344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2968 (or 2962 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 3120131344 is about 55858.1358801026. The cubic root of 3120131344 is about 1461.2492191856.

Adding to 3120131344 its reverse (4431310213), we get a palindrome (7551441557).

The spelling of 3120131344 in words is "three billion, one hundred twenty million, one hundred thirty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 22 29 44 58 88 116 176 227 232 319 454 464 638 908 1276 1816 2497 2552 2693 3632 4994 5104 5386 6583 9988 10772 13166 19976 21544 26332 29623 39952 43088 52664 59246 72413 78097 105328 118492 144826 156194 236984 289652 312388 473968 579304 611311 624776 859067 1158608 1222622 1249552 1718134 2445244 3436268 4890488 6724421 6872536 9780976 13448842 13745072 17728019 26897684 35456038 53795368 70912076 107590736 141824152 195008209 283648304 390016418 780032836 1560065672 3120131344