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331205130 = 232537791259
BaseRepresentation
bin10011101111011…
…100101000001010
3212002012222000200
4103233130220022
51134242031010
652510513030
711131124424
oct2357345012
9762188020
10331205130
1115aa58353
1292b05776
1353805489
1431db7814
151e124cc0
hex13bdca0a

331205130 has 96 divisors (see below), whose sum is σ = 896313600. Its totient is φ = 84779136.

The previous prime is 331205117. The next prime is 331205183. The reversal of 331205130 is 31502133.

331205130 is a `hidden beast` number, since 33 + 120 + 513 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 262441 + ... + 263699.

It is an arithmetic number, because the mean of its divisors is an integer number (9336600).

Almost surely, 2331205130 is an apocalyptic number.

331205130 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 331205130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448156800).

331205130 is an abundant number, since it is smaller than the sum of its proper divisors (565108470).

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

331205130 is a wasteful number, since it uses less digits than its factorization.

331205130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1388 (or 1385 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 331205130 is about 18199.0420077541. The cubic root of 331205130 is about 691.8825089825.

Adding to 331205130 its reverse (31502133), we get a palindrome (362707263).

The spelling of 331205130 in words is "three hundred thirty-one million, two hundred five thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 79 90 111 158 185 222 237 333 370 395 474 555 666 711 790 1110 1185 1259 1422 1665 2370 2518 2923 3330 3555 3777 5846 6295 7110 7554 8769 11331 12590 14615 17538 18885 22662 26307 29230 37770 43845 46583 52614 56655 87690 93166 99461 113310 131535 139749 198922 232915 263070 279498 298383 419247 465830 497305 596766 698745 838494 895149 994610 1397490 1491915 1790298 2096235 2983830 3680057 4192470 4475745 7360114 8951490 11040171 18400285 22080342 33120513 36800570 55200855 66241026 110401710 165602565 331205130