Search a number
-
+
200220021100 = 22521117103103951
BaseRepresentation
bin1011101001111000001…
…0110001000101101100
3201010210200021220201001
42322132002301011230
511240022311133400
6231551345530044
720315432045641
oct2723602610554
9633720256631
10200220021100
1177a04a89320
1232979343924
1315b5aa96388
1499953d5dc8
15531c935a6a
hex2e9e0b116c

200220021100 has 144 divisors (see below), whose sum is σ = 506733566976. Its totient is φ = 67858560000.

The previous prime is 200220021059. The next prime is 200220021121. The reversal of 200220021100 is 1120022002.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 1874125 + ... + 1978075.

It is an arithmetic number, because the mean of its divisors is an integer number (3518983104).

Almost surely, 2200220021100 is an apocalyptic number.

200220021100 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 200220021100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253366783488).

200220021100 is an abundant number, since it is smaller than the sum of its proper divisors (306513545876).

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

200220021100 is a wasteful number, since it uses less digits than its factorization.

200220021100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104096 (or 104089 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 200220021100 its reverse (1120022002), we get a palindrome (201340043102).

The spelling of 200220021100 in words is "two hundred billion, two hundred twenty million, twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 11 17 20 22 25 34 44 50 55 68 85 100 103 110 170 187 206 220 275 340 374 412 425 515 550 748 850 935 1030 1100 1133 1700 1751 1870 2060 2266 2575 3502 3740 4532 4675 5150 5665 7004 8755 9350 10300 11330 17510 18700 19261 22660 28325 35020 38522 43775 56650 77044 87550 96305 103951 113300 175100 192610 207902 385220 415804 481525 519755 963050 1039510 1143461 1767167 1926100 2079020 2286922 2598775 3534334 4573844 5197550 5717305 7068668 8835835 10395100 10706953 11434610 17671670 19438837 21413906 22869220 28586525 35343340 38877674 42827812 44179175 53534765 57173050 77755348 88358350 97194185 107069530 114346100 117776483 176716700 182018201 194388370 214139060 235552966 267673825 364036402 388776740 471105932 485970925 535347650 588882415 728072804 910091005 971941850 1070695300 1177764830 1820182010 1943883700 2002200211 2355529660 2944412075 3640364020 4004400422 4550455025 5888824150 8008800844 9100910050 10011001055 11777648300 18201820100 20022002110 40044004220 50055005275 100110010550 200220021100