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1020020200 = 235243831429
BaseRepresentation
bin111100110011000…
…100010111101000
32122002100101122221
4330303010113220
54042111121300
6245114323424
734164012553
oct7463042750
92562311587
101020020200
11483858301
12245729574
13133429864
149967d69a
155e83831a
hex3ccc45e8

1020020200 has 96 divisors (see below), whose sum is σ = 2457655200. Its totient is φ = 393442560.

The previous prime is 1020020173. The next prime is 1020020201. The reversal of 1020020200 is 20200201.

It is a happy number.

1020020200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (1020020201) 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, 713086 + ... + 714514.

It is an arithmetic number, because the mean of its divisors is an integer number (25600575).

Almost surely, 21020020200 is an apocalyptic number.

1020020200 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 1020020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1228827600).

1020020200 is an abundant number, since it is smaller than the sum of its proper divisors (1437635000).

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

1020020200 is a wasteful number, since it uses less digits than its factorization.

1020020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1571 (or 1562 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The square root of 1020020200 is about 31937.7550870439. The cubic root of 1020020200 is about 1006.6293545420.

Adding to 1020020200 its reverse (20200201), we get a palindrome (1040220401).

The spelling of 1020020200 in words is "one billion, twenty million, twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 43 50 83 86 100 166 172 200 215 332 344 415 430 664 830 860 1075 1429 1660 1720 2075 2150 2858 3320 3569 4150 4300 5716 7138 7145 8300 8600 11432 14276 14290 16600 17845 28552 28580 35690 35725 57160 61447 71380 71450 89225 118607 122894 142760 142900 178450 237214 245788 285800 307235 356900 474428 491576 593035 614470 713800 948856 1186070 1228940 1536175 2372140 2457880 2965175 3072350 4744280 5100101 5930350 6144700 10200202 11860700 12289400 20400404 23721400 25500505 40800808 51001010 102002020 127502525 204004040 255005050 510010100 1020020200