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202120020120 = 23354735836883
BaseRepresentation
bin1011110000111101001…
…0101100000010011000
3201022201002110212101010
42330033102230002120
511302420211120440
6232504101253520
720413502552454
oct2741722540230
9638632425333
10202120020120
117879a533747
12332097042a0
13160a15c9655
149ad589d664
1553ce643580
hex2f0f4ac098

202120020120 has 64 divisors (see below), whose sum is σ = 619261355520. Its totient is φ = 52751890304.

The previous prime is 202120020101. The next prime is 202120020121. The reversal of 202120020120 is 21020021202.

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 = 202120020096 and 202120020105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202120020121) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 17912802 + ... + 17924081.

It is an arithmetic number, because the mean of its divisors is an integer number (9675958680).

Almost surely, 2202120020120 is an apocalyptic number.

202120020120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202120020120 is an abundant number, since it is smaller than the sum of its proper divisors (417141335400).

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

202120020120 is a wasteful number, since it uses less digits than its factorization.

202120020120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35836944 (or 35836940 counting only the distinct ones).

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

Adding to 202120020120 its reverse (21020021202), we get a palindrome (223140041322).

The spelling of 202120020120 in words is "two hundred two billion, one hundred twenty million, twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 47 60 94 120 141 188 235 282 376 470 564 705 940 1128 1410 1880 2820 5640 35836883 71673766 107510649 143347532 179184415 215021298 286695064 358368830 430042596 537553245 716737660 860085192 1075106490 1433475320 1684333501 2150212980 3368667002 4300425960 5053000503 6737334004 8421667505 10106001006 13474668008 16843335010 20212002012 25265002515 33686670020 40424004024 50530005030 67373340040 101060010060 202120020120