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2000090100 = 22352192111663
BaseRepresentation
bin111011100110110…
…1111001111110100
312011101112002211010
41313031233033310
513044010340400
6530244512220
7100364325321
oct16715571764
95141462733
102000090100
11936aa9328
124799ab670
1325b4a9388
1414d8bdb48
15ba8ce450
hex7736f3f4

2000090100 has 144 divisors (see below), whose sum is σ = 6124052480. Its totient is φ = 502588800.

The previous prime is 2000090083. The next prime is 2000090101. The reversal of 2000090100 is 10900002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000090101) 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, 1201869 + ... + 1203531.

Almost surely, 22000090100 is an apocalyptic number.

2000090100 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 2000090100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3062026240).

2000090100 is an abundant number, since it is smaller than the sum of its proper divisors (4123962380).

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

2000090100 is a wasteful number, since it uses less digits than its factorization.

2000090100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1910 (or 1903 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 2000090100 is about 44722.3668872746. The cubic root of 2000090100 is about 1259.9399694252.

Adding to 2000090100 its reverse (10900002), we get a palindrome (2010990102).

The spelling of 2000090100 in words is "two billion, ninety thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 150 190 211 228 285 300 380 422 475 570 633 844 950 1055 1140 1266 1425 1663 1900 2110 2532 2850 3165 3326 4009 4220 4989 5275 5700 6330 6652 8018 8315 9978 10550 12027 12660 15825 16036 16630 19956 20045 21100 24054 24945 31597 31650 33260 40090 41575 48108 49890 60135 63194 63300 80180 83150 94791 99780 100225 120270 124725 126388 157985 166300 189582 200450 240540 249450 300675 315970 350893 379164 400900 473955 498900 601350 631940 701786 789925 947910 1052679 1202700 1403572 1579850 1754465 1895820 2105358 2369775 3159700 3508930 4210716 4739550 5263395 6666967 7017860 8772325 9479100 10526790 13333934 17544650 20000901 21053580 26316975 26667868 33334835 35089300 40001802 52633950 66669670 80003604 100004505 105267900 133339340 166674175 200009010 333348350 400018020 500022525 666696700 1000045050 2000090100