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2001110210010 = 232537619851377
BaseRepresentation
bin11101000111101011011…
…101101001010111011010
321002022012210220100210100
4131013223131221113122
5230241233203210020
64131144120400230
7264401243063652
oct35075335512732
97068183810710
102001110210010
117017365aa01a
122839b3916076
1311691c57b382
146cbd60c9362
15370c06cda90
hex1d1eb7695da

2001110210010 has 96 divisors (see below), whose sum is σ = 5431104096912. Its totient is φ = 510695331840.

The previous prime is 2001110210003. The next prime is 2001110210039. The reversal of 2001110210010 is 100120111002.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1227355995321 + 773754214689 = 1107861^2 + 879633^2 .

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 = 2001110209974 and 2001110210001.

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, 4722559 + ... + 5128818.

Almost surely, 22001110210010 is an apocalyptic number.

2001110210010 is an abundant number, since it is smaller than the sum of its proper divisors (3429993886902).

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

2001110210010 is a wasteful number, since it uses less digits than its factorization.

2001110210010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9851488 (or 9851485 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 2001110210010 its reverse (100120111002), we get a palindrome (2101230321012).

It can be divided in two parts, 2001 and 110210010, that added together give a palindrome (110212011).

The spelling of 2001110210010 in words is "two trillion, one billion, one hundred ten million, two hundred ten thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 61 74 90 111 122 183 185 222 305 333 366 370 549 555 610 666 915 1098 1110 1665 1830 2257 2745 3330 4514 5490 6771 11285 13542 20313 22570 33855 40626 67710 101565 203130 9851377 19702754 29554131 49256885 59108262 88662393 98513770 147770655 177324786 295541310 364500949 443311965 600933997 729001898 886623930 1093502847 1201867994 1802801991 1822504745 2187005694 3004669985 3280508541 3605603982 3645009490 5408405973 5467514235 6009339970 6561017082 9014009955 10816811946 10935028470 16402542705 18028019910 22234557889 27042029865 32805085410 44469115778 54084059730 66703673667 111172789445 133407347334 200111021001 222345578890 333518368335 400222042002 667036736670 1000555105005 2001110210010