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1001201102020 = 225761117236663
BaseRepresentation
bin11101001000111000011…
…11000110110011000100
310112201021102111201201001
432210130033012303010
5112400424440231040
62043540114143044
7132222460644130
oct16443417066304
93481242451631
101001201102020
11356674a14699
12142058281a84
137354a0877b2
143665bb823c0
151b09be1d59a
hexe91c3c6cc4

1001201102020 has 48 divisors (see below), whose sum is σ = 2442274184448. Its totient is φ = 337641586560.

The previous prime is 1001201102003. The next prime is 1001201102021. The reversal of 1001201102020 is 202011021001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1001201101988 and 1001201102006.

It is not an unprimeable number, because it can be changed into a prime (1001201102021) by changing a digit.

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, 58609792 + ... + 58626871.

It is an arithmetic number, because the mean of its divisors is an integer number (50880712176).

Almost surely, 21001201102020 is an apocalyptic number.

1001201102020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001201102020 is an abundant number, since it is smaller than the sum of its proper divisors (1441073082428).

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

1001201102020 is a wasteful number, since it uses less digits than its factorization.

1001201102020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117236740 (or 117236738 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1001201102020 its reverse (202011021001), we get a palindrome (1203212123021).

The spelling of 1001201102020 in words is "one trillion, one billion, two hundred one million, one hundred two thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 61 70 122 140 244 305 427 610 854 1220 1708 2135 4270 8540 117236663 234473326 468946652 586183315 820656641 1172366630 1641313282 2344733260 3282626564 4103283205 7151436443 8206566410 14302872886 16413132820 28605745772 35757182215 50060055101 71514364430 100120110202 143028728860 200240220404 250300275505 500600551010 1001201102020