Search a number
-
+
2001012000210 = 2325179503246937
BaseRepresentation
bin11101000111100101100…
…111000000010111010010
321002021221222002210021100
4131013211213000113102
5230241033033001320
64131130251405230
7264365641236006
oct35074547002722
97067858083240
102001012000210
117016961205a3
12283986a53816
13116905113672
146cbc7042706
15370b6c7e790
hex1d1e59c05d2

2001012000210 has 96 divisors (see below), whose sum is σ = 5242118394240. Its totient is φ = 529565117184.

The previous prime is 2001012000167. The next prime is 2001012000241. The reversal of 2001012000210 is 120002101002.

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

It is a junction number, because it is equal to n+sod(n) for n = 2001012000192 and 2001012000201.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7979862 + ... + 8226798.

It is an arithmetic number, because the mean of its divisors is an integer number (54605399940).

Almost surely, 22001012000210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2001012000210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2621059197120).

2001012000210 is an abundant number, since it is smaller than the sum of its proper divisors (3241106394030).

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

2001012000210 is a wasteful number, since it uses less digits than its factorization.

2001012000210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247632 (or 247629 counting only the distinct ones).

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

Adding to 2001012000210 its reverse (120002101002), we get a palindrome (2121014101212).

The spelling of 2001012000210 in words is "two trillion, one billion, twelve million, two hundred ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 179 358 503 537 895 1006 1074 1509 1611 1790 2515 2685 3018 3222 4527 5030 5370 7545 8055 9054 15090 16110 22635 45270 90037 180074 246937 270111 450185 493874 540222 740811 810333 900370 1234685 1350555 1481622 1620666 2222433 2469370 2701110 3704055 4051665 4444866 7408110 8103330 11112165 22224330 44201723 88403446 124209311 132605169 221008615 248418622 265210338 372627933 397815507 442017230 621046555 663025845 745255866 795631014 1117883799 1242093110 1326051690 1863139665 1989077535 2235767598 3726279330 3978155070 5589418995 11178837990 22233466669 44466933338 66700400007 111167333345 133400800014 200101200021 222334666690 333502000035 400202400042 667004000070 1000506000105 2001012000210