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200101212112 = 24175913219439
BaseRepresentation
bin1011101001011011110…
…1100010111111010000
3201010111101201210102011
42322112331202333100
511234301402241422
6231531503232304
720312460145024
oct2722675427720
9633441653364
10200101212112
1177953a1037a
12329455a8694
1315b3c2985b9
14998370a384
1553122b8077
hex2e96f62fd0

200101212112 has 80 divisors (see below), whose sum is σ = 417819686400. Its totient is φ = 92489379840.

The previous prime is 200101212109. The next prime is 200101212121. The reversal of 200101212112 is 211212101002.

It is a junction number, because it is equal to n+sod(n) for n = 200101212092 and 200101212101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21194689 + ... + 21204127.

It is an arithmetic number, because the mean of its divisors is an integer number (5222746080).

Almost surely, 2200101212112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200101212112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208909843200).

200101212112 is an abundant number, since it is smaller than the sum of its proper divisors (217718474288).

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

200101212112 is a wasteful number, since it uses less digits than its factorization.

200101212112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10844 (or 10838 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 200101212112 its reverse (211212101002), we get a palindrome (411313313114).

The spelling of 200101212112 in words is "two hundred billion, one hundred one million, two hundred twelve thousand, one hundred twelve".

Divisors: 1 2 4 8 16 17 34 59 68 118 136 236 272 472 944 1003 1321 2006 2642 4012 5284 8024 9439 10568 16048 18878 21136 22457 37756 44914 75512 77939 89828 151024 155878 160463 179656 311756 320926 359312 556901 623512 641852 1113802 1247024 1283704 1324963 2227604 2567408 2649926 4455208 5299852 8910416 9467317 10599704 12468919 18934634 21199408 24937838 37869268 49875676 75738536 99751352 151477072 199502704 211971623 423943246 735666221 847886492 1471332442 1695772984 2942664884 3391545968 5885329768 11770659536 12506325757 25012651514 50025303028 100050606056 200101212112