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2003000201340 = 2235291459788999
BaseRepresentation
bin11101001001011100000…
…111011001000001111100
321002111002112020212111020
4131021130013121001330
5230304121022420330
64132055433424140
7264466132536525
oct35113407310174
97074075225436
102003000201340
11702516439526
1228424086b050
13116b60cb9438
146cd3510984c
15371815b1210
hex1d25c1d907c

2003000201340 has 96 divisors (see below), whose sum is σ = 5805777600000. Its totient is φ = 515360869632.

The previous prime is 2003000201339. The next prime is 2003000201381. The reversal of 2003000201340 is 431020003002.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2144161 + ... + 2933159.

It is an arithmetic number, because the mean of its divisors is an integer number (60476850000).

Almost surely, 22003000201340 is an apocalyptic number.

2003000201340 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 2003000201340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2902888800000).

2003000201340 is an abundant number, since it is smaller than the sum of its proper divisors (3802777398660).

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

2003000201340 is a wasteful number, since it uses less digits than its factorization.

2003000201340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790499 (or 790497 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 2003000201340 its reverse (431020003002), we get a palindrome (2434020204342).

The spelling of 2003000201340 in words is "two trillion, three billion, two hundred one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 174 290 348 435 580 870 1459 1740 2918 4377 5836 7295 8754 14590 17508 21885 29180 42311 43770 84622 87540 126933 169244 211555 253866 423110 507732 634665 788999 846220 1269330 1577998 2366997 2538660 3155996 3944995 4733994 7889990 9467988 11834985 15779980 22880971 23669970 45761942 47339940 68642913 91523884 114404855 137285826 228809710 274571652 343214565 457619420 686429130 1151149541 1372858260 2302299082 3453448623 4604598164 5755747705 6906897246 11511495410 13813794492 17267243115 23022990820 33383336689 34534486230 66766673378 69068972460 100150010067 133533346756 166916683445 200300020134 333833366890 400600040268 500750050335 667666733780 1001500100670 2003000201340