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202012020120 = 23357123710331
BaseRepresentation
bin1011110000100011011…
…0101100110110011000
3201022102120020220020010
42330020312230312120
511302210034120440
6232445242401520
720411021560611
oct2741066546630
9638376226203
10202012020120
1178744578749
12331995002a0
1316085114721
149ac53c8c08
1553c4e0d580
hex2f08dacd98

202012020120 has 64 divisors (see below), whose sum is σ = 614571805440. Its totient is φ = 53111139200.

The previous prime is 202012020101. The next prime is 202012020137. The reversal of 202012020120 is 21020210202.

202012020120 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 (12).

It is a junction number, because it is equal to n+sod(n) for n = 202012020096 and 202012020105.

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 15 ways as a sum of consecutive naturals, for example, 11846646 + ... + 11863685.

It is an arithmetic number, because the mean of its divisors is an integer number (9602684460).

Almost surely, 2202012020120 is an apocalyptic number.

202012020120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202012020120 is an abundant number, since it is smaller than the sum of its proper divisors (412559785320).

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

202012020120 is a wasteful number, since it uses less digits than its factorization.

202012020120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23710416 (or 23710412 counting only the distinct ones).

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

Adding to 202012020120 its reverse (21020210202), we get a palindrome (223032230322).

The spelling of 202012020120 in words is "two hundred two billion, twelve million, twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 71 120 142 213 284 355 426 568 710 852 1065 1420 1704 2130 2840 4260 8520 23710331 47420662 71130993 94841324 118551655 142261986 189682648 237103310 284523972 355654965 474206620 569047944 711309930 948413240 1422619860 1683433501 2845239720 3366867002 5050300503 6733734004 8417167505 10100601006 13467468008 16834335010 20201202012 25251502515 33668670020 40402404024 50503005030 67337340040 101006010060 202012020120