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200131111100 = 2252175317912409
BaseRepresentation
bin1011101001100010111…
…1100110100010111100
3201010120110222211010002
42322120233212202330
511234332031023400
6231534452133432
720313302243054
oct2723057464274
9633513884102
10200131111100
1177969881988
1232953607278
1315b455365cb
149987690564
155314c21ed5
hex2e98be68bc

200131111100 has 144 divisors (see below), whose sum is σ = 471162031200. Its totient is φ = 73503006720.

The previous prime is 200131111097. The next prime is 200131111123. The reversal of 200131111100 is 1111131002.

It is a happy number.

It is a congruent number.

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, 16121696 + ... + 16134104.

It is an arithmetic number, because the mean of its divisors is an integer number (3271958550).

Almost surely, 2200131111100 is an apocalyptic number.

200131111100 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 200131111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235581015600).

200131111100 is an abundant number, since it is smaller than the sum of its proper divisors (271030920100).

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

200131111100 is a wasteful number, since it uses less digits than its factorization.

200131111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12672 (or 12665 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 200131111100 its reverse (1111131002), we get a palindrome (201242242102).

The spelling of 200131111100 in words is "two hundred billion, one hundred thirty-one million, one hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 53 68 85 100 106 170 179 212 265 340 358 425 530 716 850 895 901 1060 1325 1700 1790 1802 2650 3043 3580 3604 4475 4505 5300 6086 8950 9010 9487 12172 12409 15215 17900 18020 18974 22525 24818 30430 37948 45050 47435 49636 60860 62045 76075 90100 94870 124090 152150 161279 189740 210953 237175 248180 304300 310225 322558 421906 474350 620450 645116 657677 806395 843812 948700 1054765 1240900 1315354 1612790 2109530 2221211 2630708 3225580 3288385 4031975 4219060 4442422 5273825 6576770 8063950 8884844 10547650 11106055 11180509 13153540 16127900 16441925 21095300 22212110 22361018 32883850 37760587 44424220 44722036 55530275 55902545 65767700 75521174 111060550 111805090 117724183 151042348 188802935 222121100 223610180 235448366 279512725 377605870 470896732 559025450 588620915 755211740 944014675 1118050900 1177241830 1888029350 2001311111 2354483660 2943104575 3776058700 4002622222 5886209150 8005244444 10006555555 11772418300 20013111110 40026222220 50032777775 100065555550 200131111100