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200101111000 = 23537181157933
BaseRepresentation
bin1011101001011011110…
…1001010010011011000
3201010111101112122201021
42322112331022103120
511234301341023000
6231531501132224
720312456244160
oct2722675122330
9633441478637
10200101111000
117795395140a
123294555a074
1315b3c26157b
1499836c15a0
15531229811a
hex2e96f4a4d8

200101111000 has 128 divisors (see below), whose sum is σ = 538087455360. Its totient is φ = 68226624000.

The previous prime is 200101110991. The next prime is 200101111079. The reversal of 200101111000 is 111101002.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1188034 + ... + 1345966.

It is an arithmetic number, because the mean of its divisors is an integer number (4203808245).

Almost surely, 2200101111000 is an apocalyptic number.

200101111000 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 200101111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269043727680).

200101111000 is an abundant number, since it is smaller than the sum of its proper divisors (337986344360).

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

200101111000 is a wasteful number, since it uses less digits than its factorization.

200101111000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158142 (or 158128 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 200101111000 its reverse (111101002), we get a palindrome (200212212002).

The spelling of 200101111000 in words is "two hundred billion, one hundred one million, one hundred eleven thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 181 200 250 280 350 362 500 700 724 875 905 1000 1267 1400 1448 1750 1810 2534 3500 3620 4525 5068 6335 7000 7240 9050 10136 12670 18100 22625 25340 31675 36200 45250 50680 63350 90500 126700 157933 158375 181000 253400 315866 316750 631732 633500 789665 1105531 1263464 1267000 1579330 2211062 3158660 3948325 4422124 5527655 6317320 7896650 8844248 11055310 15793300 19741625 22110620 27638275 28585873 31586600 39483250 44221240 55276550 57171746 78966500 110553100 114343492 138191375 142929365 157933000 200101111 221106200 228686984 276382750 285858730 400202222 552765500 571717460 714646825 800404444 1000505555 1105531000 1143434920 1429293650 1600808888 2001011110 2858587300 3573234125 4002022220 5002527775 5717174600 7146468250 8004044440 10005055550 14292936500 20010111100 25012638875 28585873000 40020222200 50025277750 100050555500 200101111000