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202012033120 = 2553793331333
BaseRepresentation
bin1011110000100011011…
…0110000000001100000
3201022102120021120001121
42330020312300001200
511302210040024440
6232445242542024
720411021643532
oct2741066600140
9638376246047
10202012033120
1178744587497
1233199507914
131608511a611
149ac53cd852
1553c4e1234a
hex2f08db0060

202012033120 has 48 divisors (see below), whose sum is σ = 478512815760. Its totient is φ = 80591583744.

The previous prime is 202012033099. The next prime is 202012033127. The reversal of 202012033120 is 21330210202.

202012033120 is digitally balanced in base 3, 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 (16).

It is a junction number, because it is equal to n+sod(n) for n = 202012033094 and 202012033103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202012033127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1605027 + ... + 1726306.

It is an arithmetic number, because the mean of its divisors is an integer number (9969016995).

Almost surely, 2202012033120 is an apocalyptic number.

202012033120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202012033120 is an abundant number, since it is smaller than the sum of its proper divisors (276500782640).

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

202012033120 is a wasteful number, since it uses less digits than its factorization.

202012033120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3331727 (or 3331719 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 202012033120 its reverse (21330210202), we get a palindrome (223342243322).

The spelling of 202012033120 in words is "two hundred two billion, twelve million, thirty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 379 758 1516 1895 3032 3790 6064 7580 12128 15160 30320 60640 3331333 6662666 13325332 16656665 26650664 33313330 53301328 66626660 106602656 133253320 266506640 533013280 1262575207 2525150414 5050300828 6312876035 10100601656 12625752070 20201203312 25251504140 40402406624 50503008280 101006016560 202012033120