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1001002311030 = 2352329311613713
BaseRepresentation
bin11101001000100000110…
…00110001110101110110
310112200202120110002201210
432210100120301311312
5112400023042423110
62043504253302250
7132214525153431
oct16442030616566
93480676402653
101001002311030
11356582788017
12142001794986
1373517b348a7
143663d5d6818
151b089752520
hexe910631d76

1001002311030 has 128 divisors (see below), whose sum is σ = 2676957880320. Its totient is φ = 238571182080.

The previous prime is 1001002311019. The next prime is 1001002311031. The reversal of 1001002311030 is 301132001001.

It is a junction number, because it is equal to n+sod(n) for n = 1001002310997 and 1001002311015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001002311031) 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 63 ways as a sum of consecutive naturals, for example, 186547 + ... + 1427166.

It is an arithmetic number, because the mean of its divisors is an integer number (20913733440).

Almost surely, 21001002311030 is an apocalyptic number.

1001002311030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001002311030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1338478940160).

1001002311030 is an abundant number, since it is smaller than the sum of its proper divisors (1675955569290).

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

1001002311030 is a wasteful number, since it uses less digits than its factorization.

1001002311030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1613806.

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 1001002311030 its reverse (301132001001), we get a palindrome (1302134312031).

The spelling of 1001002311030 in words is "one trillion, one billion, two million, three hundred eleven thousand, thirty".

Divisors: 1 2 3 5 6 10 15 23 29 30 31 46 58 62 69 87 93 115 138 145 155 174 186 230 290 310 345 435 465 667 690 713 870 899 930 1334 1426 1798 2001 2139 2697 3335 3565 4002 4278 4495 5394 6670 7130 8990 10005 10695 13485 20010 20677 21390 26970 41354 62031 103385 124062 206770 310155 620310 1613713 3227426 4841139 8068565 9682278 16137130 24205695 37115399 46797677 48411390 50025103 74230798 93595354 100050206 111346197 140393031 150075309 185576995 222692394 233988385 250125515 280786062 300150618 371153990 467976770 500251030 556730985 701965155 750376545 1076346571 1113461970 1150577369 1403930310 1450727987 1500753090 2152693142 2301154738 2901455974 3229039713 3451732107 4352183961 5381732855 5752886845 6458079426 6903464214 7253639935 8704367922 10763465710 11505773690 14507279870 16145198565 17258660535 21760919805 32290397130 33366743701 34517321070 43521839610 66733487402 100100231103 166833718505 200200462206 333667437010 500501155515 1001002311030