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1001111202102 = 2311103229643081
BaseRepresentation
bin11101001000101101110…
…00001010100100110110
310112201001011100100012110
432210112320022210312
5112400233431431402
62043523143231450
7132220316546214
oct16442670124466
93481034310173
101001111202102
113566291a1540
12142032148586
137353456c28b
143664dc5dcb4
151b0940b156c
hexe916e0a936

1001111202102 has 64 divisors (see below), whose sum is σ = 2215083087360. Its totient is φ = 299109369600.

The previous prime is 1001111202083. The next prime is 1001111202127. The reversal of 1001111202102 is 2012021111001.

It is a super-2 number, since 2×10011112021022 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 1235202 + ... + 1878282.

It is an arithmetic number, because the mean of its divisors is an integer number (34610673240).

Almost surely, 21001111202102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001111202102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1107541543680).

1001111202102 is an abundant number, since it is smaller than the sum of its proper divisors (1213971885258).

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

1001111202102 is a wasteful number, since it uses less digits than its factorization.

1001111202102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643429.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1001111202102 its reverse (2012021111001), we get a palindrome (3013132313103).

The spelling of 1001111202102 in words is "one trillion, one billion, one hundred eleven million, two hundred two thousand, one hundred two".

Divisors: 1 2 3 6 11 22 33 66 103 206 229 309 458 618 687 1133 1374 2266 2519 3399 5038 6798 7557 15114 23587 47174 70761 141522 259457 518914 643081 778371 1286162 1556742 1929243 3858486 7073891 14147782 21221673 42443346 66237343 132474686 147265549 198712029 294531098 397424058 441796647 728610773 883593294 1457221546 1619921039 2185832319 3239842078 4371664638 4859763117 9719526234 15168351547 30336703094 45505054641 91010109282 166851867017 333703734034 500555601051 1001111202102