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2001210002001 = 357210913911093
BaseRepresentation
bin11101000111110001011…
…010010100101001010001
321002022110202200022200000
4131013301122110221101
5230241434230031001
64131202043320213
7264403564231500
oct35076132245121
97068422608600
102001210002001
11701787969241
12283a21220069
1311693714b2a2
146cc05464837
15370c9341a86
hex1d1f1694a51

2001210002001 has 144 divisors (see below), whose sum is σ = 3544746004800. Its totient is φ = 1124804403072.

The previous prime is 2001210001991. The next prime is 2001210002003. The reversal of 2001210002001 is 1002000121002.

It is not a de Polignac number, because 2001210002001 - 25 = 2001210001969 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2001210002003) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 180397411 + ... + 180408503.

It is an arithmetic number, because the mean of its divisors is an integer number (24616291700).

Almost surely, 22001210002001 is an apocalyptic number.

2001210002001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2001210002001 is a deficient number, since it is larger than the sum of its proper divisors (1543536002799).

2001210002001 is a wasteful number, since it uses less digits than its factorization.

2001210002001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11370 (or 11351 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 2001210002001 its reverse (1002000121002), we get a palindrome (3003210123003).

The spelling of 2001210002001 in words is "two trillion, one billion, two hundred ten million, two thousand, one".

Divisors: 1 3 7 9 21 27 49 63 81 109 139 147 189 243 327 417 441 567 763 973 981 1251 1323 1701 2289 2919 2943 3753 3969 5341 6811 6867 8757 8829 11093 11259 11907 15151 16023 20433 20601 26271 26487 33279 33777 45453 48069 61299 61803 77651 78813 99837 106057 136359 144207 183897 185409 232953 236439 299511 318171 409077 432621 543557 551691 698859 742399 898533 954513 1209137 1227231 1297863 1541927 1630671 1655073 2096577 2227197 2695599 2863539 3627411 3681693 4625781 4892013 6289731 6681591 8463959 8590617 10793489 10882233 13877343 14676039 18869193 20044773 25391877 25771851 32380467 32646699 41632029 44028117 59247713 60134319 75554423 76175631 97141401 97940097 124896087 132084351 168070043 177743139 180402957 226663269 228526893 291424203 293820291 374688261 504210129 533229417 679989807 685580679 874272609 1176490301 1512630387 1599688251 2039969421 2056742037 2622817827 3529470903 4537891161 4799064753 6119908263 8235432107 10588412709 13613673483 14397194259 18359724789 24706296321 31765238127 40841020449 74118888963 95295714381 222356666889 285887143143 667070000667 2001210002001