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200110120100 = 2252111035773061
BaseRepresentation
bin1011101001011101111…
…1100001110010100100
3201010112000111100212122
42322113133201302210
511234311142320400
6231532422205112
720312625645602
oct2722737416244
9633460440778
10200110120100
1177958a45050
1232948583798
1315b410970b7
149984988872
155312e77685
hex2e977e1ca4

200110120100 has 144 divisors (see below), whose sum is σ = 479299906176. Its totient is φ = 71912448000.

The previous prime is 200110120081. The next prime is 200110120103. The reversal of 200110120100 is 1021011002.

It is not an unprimeable number, because it can be changed into a prime (200110120103) 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, 65372570 + ... + 65375630.

Almost surely, 2200110120100 is an apocalyptic number.

200110120100 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 200110120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239649953088).

200110120100 is an abundant number, since it is smaller than the sum of its proper divisors (279189786076).

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

200110120100 is a wasteful number, since it uses less digits than its factorization.

200110120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3766 (or 3759 counting only the distinct ones).

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

Adding to 200110120100 its reverse (1021011002), we get a palindrome (201131131102).

It can be divided in two parts, 2001 and 10120100, that added together give a palindrome (10122101).

The spelling of 200110120100 in words is "two hundred billion, one hundred ten million, one hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 103 110 206 220 275 412 515 550 577 1030 1100 1133 1154 2060 2266 2308 2575 2885 3061 4532 5150 5665 5770 6122 6347 10300 11330 11540 12244 12694 14425 15305 22660 25388 28325 28850 30610 31735 33671 56650 57700 59431 61220 63470 67342 76525 113300 118862 126940 134684 153050 158675 168355 237724 297155 306100 315283 317350 336710 594310 630566 634700 653741 673420 841775 1188620 1261132 1307482 1485775 1576415 1683550 1766197 2614964 2971550 3152830 3268705 3367100 3468113 3532394 5943100 6305660 6537410 6936226 7064788 7882075 8830985 13074820 13872452 15764150 16343525 17340565 17661970 19428167 31528300 32687050 34681130 35323940 38856334 44154925 65374100 69362260 77712668 86702825 88309850 97140835 173405650 176619700 181918291 194281670 346811300 363836582 388563340 485704175 727673164 909591455 971408350 1819182910 1942816700 2001101201 3638365820 4002202402 4547957275 8004404804 9095914550 10005506005 18191829100 20011012010 40022024020 50027530025 100055060050 200110120100