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200131320 = 233529131439
BaseRepresentation
bin10111110110111…
…00001011111000
3111221120201120010
423323130023320
5402213200240
631505301520
74650042144
oct1373341370
9457521503
10200131320
11a2a72694
12570348a0
1332601ccc
141c818224
1512883280
hexbedc2f8

200131320 has 128 divisors (see below), whose sum is σ = 627264000. Its totient is φ = 51018240.

The previous prime is 200131289. The next prime is 200131387. The reversal of 200131320 is 23131002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 200131296 and 200131305.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 455661 + ... + 456099.

It is an arithmetic number, because the mean of its divisors is an integer number (4900500).

Almost surely, 2200131320 is an apocalyptic number.

200131320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200131320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313632000).

200131320 is an abundant number, since it is smaller than the sum of its proper divisors (427132680).

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

200131320 is a wasteful number, since it uses less digits than its factorization.

200131320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 200131320 is about 14146.7777249803. Note that the first 4 decimals coincide. The cubic root of 200131320 is about 584.9315136423.

Adding to 200131320 its reverse (23131002), we get a palindrome (223262322).

The spelling of 200131320 in words is "two hundred million, one hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 131 145 174 232 262 290 348 393 435 439 524 580 655 696 786 870 878 1048 1160 1310 1317 1572 1740 1756 1965 2195 2620 2634 3144 3480 3512 3799 3930 4390 5240 5268 6585 7598 7860 8780 10536 11397 12731 13170 15196 15720 17560 18995 22794 25462 26340 30392 37990 38193 45588 50924 52680 56985 57509 63655 75980 76386 91176 101848 113970 115018 127310 151960 152772 172527 190965 227940 230036 254620 287545 305544 345054 381930 455880 460072 509240 575090 690108 763860 862635 1150180 1380216 1527720 1667761 1725270 2300360 3335522 3450540 5003283 6671044 6901080 8338805 10006566 13342088 16677610 20013132 25016415 33355220 40026264 50032830 66710440 100065660 200131320