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2003121102020 = 22517139269315739
BaseRepresentation
bin11101001001100011010…
…100100101110011000100
321002111101221202021001012
4131021203110211303010
5230304343000231040
64132115433021352
7264502131301613
oct35114324456304
97074357667035
102003121102020
11702578705a45
12284275254858
13116b8006a2bc
146cd471bb87a
153718bee3865
hex1d263525cc4

2003121102020 has 96 divisors (see below), whose sum is σ = 4487992790400. Its totient is φ = 748365318144.

The previous prime is 2003121102019. The next prime is 2003121102029. The reversal of 2003121102020 is 202011213002.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2003121101986 and 2003121102004.

It is not an unprimeable number, because it can be changed into a prime (2003121102029) 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 31 ways as a sum of consecutive naturals, for example, 127263311 + ... + 127279049.

It is an arithmetic number, because the mean of its divisors is an integer number (46749924900).

Almost surely, 22003121102020 is an apocalyptic number.

2003121102020 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 2003121102020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2243996395200).

2003121102020 is an abundant number, since it is smaller than the sum of its proper divisors (2484871688380).

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

2003121102020 is a wasteful number, since it uses less digits than its factorization.

2003121102020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18597 (or 18595 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 2003121102020 its reverse (202011213002), we get a palindrome (2205132315022).

The spelling of 2003121102020 in words is "two trillion, three billion, one hundred twenty-one million, one hundred two thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 139 170 278 340 556 695 1390 2363 2693 2780 4726 5386 9452 10772 11815 13465 15739 23630 26930 31478 45781 47260 53860 62956 78695 91562 157390 183124 228905 267563 314780 374327 457810 535126 748654 915620 1070252 1337815 1497308 1871635 2187721 2675630 3743270 4375442 5351260 6363559 7486540 8750884 10938605 12727118 21877210 25454236 31817795 37191257 42385127 43754420 63635590 74382514 84770254 127271180 148765028 169540508 185956285 211925635 371912570 423851270 720547159 743825140 847702540 1441094318 2882188636 3602735795 5891532653 7205471590 11783065306 14410943180 23566130612 29457663265 58915326530 100156055101 117830653060 200312110202 400624220404 500780275505 1001560551010 2003121102020