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20010101200 = 24522312011811
BaseRepresentation
bin10010101000101100…
…011110100111010000
31220122112112110111021
4102220230132213100
5311440041214300
613105325525224
71305604024315
oct225054364720
956575473437
1020010101200
1185391a9221
123a65413814
131b6b80358b
14d7b794d0c
157c1ab3d1a
hex4a8b1e9d0

20010101200 has 120 divisors (see below), whose sum is σ = 50233945536. Its totient is φ = 7645440000.

The previous prime is 20010101129. The next prime is 20010101201. The reversal of 20010101200 is 210101002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20010101201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11048295 + ... + 11050105.

Almost surely, 220010101200 is an apocalyptic number.

20010101200 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 20010101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25116972768).

20010101200 is an abundant number, since it is smaller than the sum of its proper divisors (30223844336).

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

20010101200 is a wasteful number, since it uses less digits than its factorization.

20010101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3053 (or 3042 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 20010101200 its reverse (210101002), we get a palindrome (20220202202).

The spelling of 20010101200 in words is "twenty billion, ten million, one hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 115 184 200 230 368 400 460 575 920 1150 1201 1811 1840 2300 2402 3622 4600 4804 6005 7244 9055 9200 9608 12010 14488 18110 19216 24020 27623 28976 30025 36220 41653 45275 48040 55246 60050 72440 83306 90550 96080 110492 120100 138115 144880 166612 181100 208265 220984 240200 276230 333224 362200 416530 441968 480400 552460 666448 690575 724400 833060 1041325 1104920 1381150 1666120 2082650 2175011 2209840 2762300 3332240 4165300 4350022 5524600 8330600 8700044 10875055 11049200 16661200 17400088 21750110 34800176 43500220 50025253 54375275 87000440 100050506 108750550 174000880 200101012 217501100 250126265 400202024 435002200 500252530 800404048 870004400 1000505060 1250631325 2001010120 2501262650 4002020240 5002525300 10005050600 20010101200