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202034412020 = 225713191911987
BaseRepresentation
bin1011110000101000110…
…0000111100111110100
3201022111010101112010202
42330022030013213310
511302231302141040
6232451402340032
720411413111250
oct2741214074764
9638433345122
10202034412020
1178756182051
12331a4aba618
131608995477c
149ac8377260
1553c6d83015
hex2f0a3079f4

202034412020 has 96 divisors (see below), whose sum is σ = 489156433920. Its totient is φ = 68659643520.

The previous prime is 202034411963. The next prime is 202034412031. The reversal of 202034412020 is 20214430202.

202034412020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 202034411983 and 202034412001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16848467 + ... + 16860453.

It is an arithmetic number, because the mean of its divisors is an integer number (5095379520).

Almost surely, 2202034412020 is an apocalyptic number.

202034412020 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 202034412020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244578216960).

202034412020 is an abundant number, since it is smaller than the sum of its proper divisors (287122021900).

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

202034412020 is a wasteful number, since it uses less digits than its factorization.

202034412020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13053 (or 13051 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 202034412020 its reverse (20214430202), we get a palindrome (222248842222).

The spelling of 202034412020 in words is "two hundred two billion, thirty-four million, four hundred twelve thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 131 140 262 524 655 917 919 1310 1834 1838 2620 3668 3676 4585 4595 6433 9170 9190 11987 12866 18340 18380 23974 25732 32165 47948 59935 64330 83909 119870 120389 128660 167818 239740 240778 335636 419545 481556 601945 839090 842723 1203890 1570297 1678180 1685446 2407780 3140594 3370892 4213615 6281188 7851485 8427230 10992079 11016053 15702970 16854460 21984158 22032106 31405940 43968316 44064212 54960395 55080265 77112371 109920790 110160530 154224742 219841580 220321060 308449484 385561855 771123710 1443102943 1542247420 2886205886 5772411772 7215514715 10101720601 14431029430 20203441202 28862058860 40406882404 50508603005 101017206010 202034412020