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200011210100 = 2252131786310487
BaseRepresentation
bin1011101001000110011…
…0001101110101110100
3201010021010101012212022
42322101212031311310
511234110332210400
6231514530212312
720310315143342
oct2722146156564
9633233335768
10200011210100
1177908128549
123291b424098
1315b26745780
14997579c992
15530943ab85
hex2e9198dd74

200011210100 has 144 divisors (see below), whose sum is σ = 495526284288. Its totient is φ = 69418997760.

The previous prime is 200011210081. The next prime is 200011210177. The reversal of 200011210100 is 1012110002.

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, 19067057 + ... + 19077543.

It is an arithmetic number, because the mean of its divisors is an integer number (3441154752).

Almost surely, 2200011210100 is an apocalyptic number.

200011210100 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 200011210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247763142144).

200011210100 is an abundant number, since it is smaller than the sum of its proper divisors (295515074188).

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

200011210100 is a wasteful number, since it uses less digits than its factorization.

200011210100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11394 (or 11387 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 200011210100 its reverse (1012110002), we get a palindrome (201023320102).

The spelling of 200011210100 in words is "two hundred billion, eleven million, two hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 13 17 20 25 26 34 50 52 65 68 85 100 130 170 221 260 325 340 425 442 650 850 863 884 1105 1300 1700 1726 2210 3452 4315 4420 5525 8630 10487 11050 11219 14671 17260 20974 21575 22100 22438 29342 41948 43150 44876 52435 56095 58684 73355 86300 104870 112190 136331 146710 178279 190723 209740 224380 262175 272662 280475 293420 356558 366775 381446 524350 545324 560950 681655 713116 733550 762892 891395 953615 1048700 1121900 1363310 1467100 1782790 1907230 2317627 2726620 3408275 3565580 3814460 4456975 4635254 4768075 6816550 8913950 9050281 9270508 9536150 11588135 13633100 17827900 18100562 19072300 23176270 36201124 45251405 46352540 57940675 90502810 115881350 117653653 153854777 181005620 226257025 231762700 235307306 307709554 452514050 470614612 588268265 615419108 769273885 905028100 1176536530 1538547770 2000112101 2353073060 2941341325 3077095540 3846369425 4000224202 5882682650 7692738850 8000448404 10000560505 11765365300 15385477700 20001121010 40002242020 50002802525 100005605050 200011210100