Search a number
-
+
1202020200 = 233252679967
BaseRepresentation
bin100011110100101…
…0101111101101000
310002202210221201200
41013221111331220
54430204121300
6315135244200
741534001033
oct10751257550
93082727650
101202020200
11567566627
12296679660
13162050b74
14b58d801a
15707d9200
hex47a55f68

1202020200 has 144 divisors (see below), whose sum is σ = 4097446080. Its totient is φ = 315722880.

The previous prime is 1202020187. The next prime is 1202020213. The reversal of 1202020200 is 20202021.

1202020200 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1202020187) and next prime (1202020213).

It is a super-2 number, since 2×12020202002 = 2889705122416080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 115617 + ... + 125583.

Almost surely, 21202020200 is an apocalyptic number.

1202020200 is a gapful number since it is divisible by the number (10) 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 1202020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2048723040).

1202020200 is an abundant number, since it is smaller than the sum of its proper divisors (2895425880).

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

1202020200 is a wasteful number, since it uses less digits than its factorization.

1202020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10056 (or 10044 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 1202020200 is about 34670.1629647165. The cubic root of 1202020200 is about 1063.2545634226.

Adding to 1202020200 its reverse (20202021), we get a palindrome (1222222221).

The spelling of 1202020200 in words is "one billion, two hundred two million, twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 67 72 75 90 100 120 134 150 180 200 201 225 268 300 335 360 402 450 536 600 603 670 804 900 1005 1206 1340 1608 1675 1800 2010 2412 2680 3015 3350 4020 4824 5025 6030 6700 8040 9967 10050 12060 13400 15075 19934 20100 24120 29901 30150 39868 40200 49835 59802 60300 79736 89703 99670 119604 120600 149505 179406 199340 239208 249175 299010 358812 398680 448515 498350 598020 667789 717624 747525 897030 996700 1196040 1335578 1495050 1794060 1993400 2003367 2242575 2671156 2990100 3338945 3588120 4006734 4485150 5342312 5980200 6010101 6677890 8013468 8970300 10016835 12020202 13355780 16026936 16694725 17940600 20033670 24040404 26711560 30050505 33389450 40067340 48080808 50084175 60101010 66778900 80134680 100168350 120202020 133557800 150252525 200336700 240404040 300505050 400673400 601010100 1202020200