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1300011111100 = 2252132114739377
BaseRepresentation
bin10010111010101110101…
…100110101001010111100
311121021120000020221210101
4102322232230311022330
5132244410321023400
62433114501450444
7162631326056302
oct22725654651274
94537500227711
101300011111100
11461371421119
1218bb4b110a24
139578a4b7960
1446cc6c3c272
1523c39dbc56a
hex12eaeb352bc

1300011111100 has 72 divisors (see below), whose sum is σ = 3052424837168. Its totient is φ = 477729100800.

The previous prime is 1300011111097. The next prime is 1300011111149. The reversal of 1300011111100 is 11111100031.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2095389 + ... + 2643988.

Almost surely, 21300011111100 is an apocalyptic number.

1300011111100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1300011111100 is an abundant number, since it is smaller than the sum of its proper divisors (1752413726068).

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

1300011111100 is a wasteful number, since it uses less digits than its factorization.

1300011111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4739615 (or 4739608 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 10.

Adding to 1300011111100 its reverse (11111100031), we get a palindrome (1311122211131).

The spelling of 1300011111100 in words is "one trillion, three hundred billion, eleven million, one hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 211 260 325 422 650 844 1055 1300 2110 2743 4220 5275 5486 10550 10972 13715 21100 27430 54860 68575 137150 274300 4739377 9478754 18957508 23696885 47393770 61611901 94787540 118484425 123223802 236968850 246447604 308059505 473937700 616119010 1000008547 1232238020 1540297525 2000017094 3080595050 4000034188 5000042735 6161190100 10000085470 13000111111 20000170940 25000213675 26000222222 50000427350 52000444444 65000555555 100000854700 130001111110 260002222220 325002777775 650005555550 1300011111100