Search a number
-
+
20022121200 = 2435230795419
BaseRepresentation
bin10010101001011010…
…010101001011110000
31220200101011010211110
4102221122111023300
5312001130334300
613110435313320
71306111136124
oct225132251360
956611133743
1020022121200
118544a69004
123a6944b840
131b711516c3
14d7d203584
157c2b8a550
hex4a96952f0

20022121200 has 120 divisors (see below), whose sum is σ = 64170198400. Its totient is φ = 5336513280.

The previous prime is 20022121199. The next prime is 20022121243. The reversal of 20022121200 is 212122002.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3692091 + ... + 3697509.

Almost surely, 220022121200 is an apocalyptic number.

20022121200 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 20022121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32085099200).

20022121200 is an abundant number, since it is smaller than the sum of its proper divisors (44148077200).

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

20022121200 is a wasteful number, since it uses less digits than its factorization.

20022121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8519 (or 8508 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 20022121200 its reverse (212122002), we get a palindrome (20234243202).

The spelling of 20022121200 in words is "twenty billion, twenty-two million, one hundred twenty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 3079 5419 6158 9237 10838 12316 15395 16257 18474 21676 24632 27095 30790 32514 36948 43352 46185 49264 54190 61580 65028 73896 76975 81285 86704 92370 108380 123160 130056 135475 147792 153950 162570 184740 216760 230925 246320 260112 270950 307900 325140 369480 406425 433520 461850 541900 615800 650280 738960 812850 923700 1083800 1231600 1300560 1625700 1847400 2167600 3251400 3694800 6502800 16685101 33370202 50055303 66740404 83425505 100110606 133480808 166851010 200221212 250276515 266961616 333702020 400442424 417127525 500553030 667404040 800884848 834255050 1001106060 1251382575 1334808080 1668510100 2002212120 2502765150 3337020200 4004424240 5005530300 6674040400 10011060600 20022121200