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3122031330 = 2335119710837
BaseRepresentation
bin1011101000010110…
…0110101011100010
322001120122121212000
42322011212223202
522343220000310
61233443544430
7140236554105
oct27205465342
98046577760
103122031330
11136233a390
1273168b116
133a9a6cc22
142188d073c
1513414b4c0
hexba166ae2

3122031330 has 128 divisors (see below), whose sum is σ = 9176751360. Its totient is φ = 748984320.

The previous prime is 3122031307. The next prime is 3122031347. The reversal of 3122031330 is 331302213.

3122031330 is a `hidden beast` number, since 312 + 20 + 3 + 1 + 330 = 666.

3122031330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 282672 + ... + 293508.

It is an arithmetic number, because the mean of its divisors is an integer number (71693370).

Almost surely, 23122031330 is an apocalyptic number.

3122031330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3122031330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4588375680).

3122031330 is an abundant number, since it is smaller than the sum of its proper divisors (6054720030).

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

3122031330 is a wasteful number, since it uses less digits than its factorization.

3122031330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10961 (or 10955 counting only the distinct ones).

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

The square root of 3122031330 is about 55875.1405367360. The cubic root of 3122031330 is about 1461.5457654305.

Adding to 3122031330 its reverse (331302213), we get a palindrome (3453333543).

The spelling of 3122031330 in words is "three billion, one hundred twenty-two million, thirty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 97 99 110 135 165 194 198 270 291 297 330 485 495 582 594 873 970 990 1067 1455 1485 1746 2134 2619 2910 2970 3201 4365 5238 5335 6402 8730 9603 10670 10837 13095 16005 19206 21674 26190 28809 32010 32511 48015 54185 57618 65022 96030 97533 108370 119207 144045 162555 195066 238414 288090 292599 325110 357621 487665 585198 596035 715242 975330 1051189 1072863 1192070 1462995 1788105 2102378 2145726 2925990 3153567 3218589 3576210 5255945 5364315 6307134 6437178 9460701 10511890 10728630 11563079 15767835 16092945 18921402 23126158 28382103 31535670 32185890 34689237 47303505 56764206 57815395 69378474 94607010 104067711 115630790 141910515 173446185 208135422 283821030 312203133 346892370 520338555 624406266 1040677110 1561015665 3122031330