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20010100000 = 25551118191
BaseRepresentation
bin10010101000101100…
…011110010100100000
31220122112112101211211
4102220230132110200
5311440041200000
613105325515504
71305604020652
oct225054362440
956575471754
1020010100000
1185391a8330
123a65412b94
131b6b802b77
14d7b7946d2
157c1ab37ba
hex4a8b1e520

20010100000 has 144 divisors (see below), whose sum is σ = 53719811712. Its totient is φ = 7276000000.

The previous prime is 20010099997. The next prime is 20010100001. The reversal of 20010100000 is 101002.

It is a Harshad number since it is a multiple of its sum of digits (4).

It is not an unprimeable number, because it can be changed into a prime (20010100001) 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, 1090905 + ... + 1109095.

It is an arithmetic number, because the mean of its divisors is an integer number (373054248).

Almost surely, 220010100000 is an apocalyptic number.

20010100000 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 20010100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26859905856).

20010100000 is an abundant number, since it is smaller than the sum of its proper divisors (33709711712).

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

20010100000 is an equidigital number, since it uses as much as digits as its factorization.

20010100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18237 (or 18209 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 4.

Adding to 20010100000 its reverse (101002), we get a palindrome (20010201002).

The spelling of 20010100000 in words is "twenty billion, ten million, one hundred thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 125 160 176 200 220 250 275 352 400 440 500 550 625 800 880 1000 1100 1250 1375 1760 2000 2200 2500 2750 3125 4000 4400 5000 5500 6250 6875 8800 10000 11000 12500 13750 18191 20000 22000 25000 27500 34375 36382 44000 50000 55000 68750 72764 90955 100000 110000 137500 145528 181910 200101 220000 275000 291056 363820 400202 454775 550000 582112 727640 800404 909550 1000505 1100000 1455280 1600808 1819100 2001010 2273875 2910560 3201616 3638200 4002020 4547750 5002525 6403232 7276400 8004040 9095500 10005050 11369375 14552800 16008080 18191000 20010100 22738750 25012625 32016160 36382000 40020200 45477500 50025250 56846875 72764000 80040400 90955000 100050500 113693750 125063125 160080800 181910000 200101000 227387500 250126250 363820000 400202000 454775000 500252500 625315625 800404000 909550000 1000505000 1250631250 1819100000 2001010000 2501262500 4002020000 5002525000 10005050000 20010100000