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201011231100 = 223527117875281
BaseRepresentation
bin1011101100110100110…
…0111111100101111100
3201012211211002112210010
42323031030333211330
511243132333343400
6232202052143220
720344150162431
oct2731514774574
9635754075703
10201011231100
1178280666089
1232b5a307b10
1315c5598c384
149a2c513b88
155367123450
hex2ecd33f97c

201011231100 has 144 divisors (see below), whose sum is σ = 590225723136. Its totient is φ = 52808448000.

The previous prime is 201011231087. The next prime is 201011231107. The reversal of 201011231100 is 1132110102.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201011231107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38060460 + ... + 38065740.

It is an arithmetic number, because the mean of its divisors is an integer number (4098789744).

Almost surely, 2201011231100 is an apocalyptic number.

201011231100 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 201011231100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295112861568).

201011231100 is an abundant number, since it is smaller than the sum of its proper divisors (389214492036).

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

201011231100 is a wasteful number, since it uses less digits than its factorization.

201011231100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7156 (or 7149 counting only the distinct ones).

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

Adding to 201011231100 its reverse (1132110102), we get a palindrome (202143341202).

The spelling of 201011231100 in words is "two hundred one billion, eleven million, two hundred thirty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 71 75 100 142 150 213 284 300 355 426 710 852 1065 1420 1775 1787 2130 3550 3574 4260 5281 5325 5361 7100 7148 8935 10562 10650 10722 15843 17870 21124 21300 21444 26405 26805 31686 35740 44675 52810 53610 63372 79215 89350 105620 107220 126877 132025 134025 158430 178700 253754 264050 268050 316860 374951 380631 396075 507508 528100 536100 634385 749902 761262 792150 1124853 1268770 1499804 1522524 1584300 1874755 1903155 2249706 2537540 3171925 3749510 3806310 4499412 5624265 6343850 7499020 7612620 9373775 9437147 9515775 11248530 12687700 18747550 18874294 19031550 22497060 28121325 28311441 37495100 37748588 38063100 47185735 56242650 56622882 94371470 112485300 113245764 141557205 188742940 235928675 283114410 471857350 566228820 670037437 707786025 943714700 1340074874 1415572050 2010112311 2680149748 2831144100 3350187185 4020224622 6700374370 8040449244 10050561555 13400748740 16750935925 20101123110 33501871850 40202246220 50252807775 67003743700 100505615550 201011231100