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2001210002000 = 245311671357673
BaseRepresentation
bin11101000111110001011…
…010010100101001010000
321002022110202200022122222
4131013301122110221100
5230241434230031000
64131202043320212
7264403564231466
oct35076132245120
97068422608588
102001210002000
11701787969240
12283a21220068
1311693714b2a1
146cc05464836
15370c9341a85
hex1d1f1694a50

2001210002000 has 160 divisors (see below), whose sum is σ = 5357620554624. Its totient is φ = 716850816000.

The previous prime is 2001210001991. The next prime is 2001210002003. The reversal of 2001210002000 is 2000121002.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001210002003) 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, 795164 + ... + 2152836.

Almost surely, 22001210002000 is an apocalyptic number.

2001210002000 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 2001210002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2678810277312).

2001210002000 is an abundant number, since it is smaller than the sum of its proper divisors (3356410552624).

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

2001210002000 is a wasteful number, since it uses less digits than its factorization.

2001210002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1357774 (or 1357758 counting only the distinct ones).

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

Adding to 2001210002000 its reverse (2000121002), we get a palindrome (2003210123002).

The spelling of 2001210002000 in words is "two trillion, one billion, two hundred ten million, two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 67 80 88 100 110 125 134 176 200 220 250 268 275 335 400 440 500 536 550 670 737 880 1000 1072 1100 1340 1375 1474 1675 2000 2200 2680 2750 2948 3350 3685 4400 5360 5500 5896 6700 7370 8375 11000 11792 13400 14740 16750 18425 22000 26800 29480 33500 36850 58960 67000 73700 92125 134000 147400 184250 294800 368500 737000 1357673 1474000 2715346 5430692 6788365 10861384 13576730 14934403 21722768 27153460 29868806 33941825 54306920 59737612 67883650 74672015 90964091 108613840 119475224 135767300 149344030 169709125 181928182 238950448 271534600 298688060 339418250 363856364 373360075 454820455 543069200 597376120 678836500 727712728 746720150 909640910 1000605001 1194752240 1357673000 1455425456 1493440300 1819281820 1866800375 2001210002 2274102275 2715346000 2986880600 3638563640 3733600750 4002420004 4548204550 5003025005 5973761200 7277127280 7467201500 8004840008 9096409100 10006050010 11370511375 14934403000 16009680016 18192818200 20012100020 22741022750 25015125025 29868806000 36385636400 40024200040 45482045500 50030250050 80048400080 90964091000 100060500100 125075625125 181928182000 200121000200 250151250250 400242000400 500302500500 1000605001000 2001210002000