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1110211000101 = 327219766119333
BaseRepresentation
bin10000001001111101101…
…110110111011100100101
310221010122111212022120200
4100021331232313130211
5121142203004000401
62210005054421113
7143132030540100
oct20117556673445
93833574768520
101110211000101
11398924191555
1215b1bb501799
1380900401878
143ba3d673737
151dd2c13c686
hex1027dbb7725

1110211000101 has 72 divisors (see below), whose sum is σ = 1877859527544. Its totient is φ = 630198455040.

The previous prime is 1110211000099. The next prime is 1110211000141. The reversal of 1110211000101 is 1010001120111.

It can be written as a sum of positive squares in 4 ways, for example, as 917762084001 + 192448916100 = 957999^2 + 438690^2 .

It is not a de Polignac number, because 1110211000101 - 21 = 1110211000099 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1110211000141) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 57416031 + ... + 57435363.

It is an arithmetic number, because the mean of its divisors is an integer number (26081382327).

Almost surely, 21110211000101 is an apocalyptic number.

It is an amenable number.

1110211000101 is a deficient number, since it is larger than the sum of its proper divisors (767648527443).

1110211000101 is a wasteful number, since it uses less digits than its factorization.

1110211000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20211 (or 20201 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 1110211000101 its reverse (1010001120111), we get a palindrome (2120212120212).

The spelling of 1110211000101 in words is "one trillion, one hundred ten billion, two hundred eleven million, one hundred one", and thus it is an aban number.

Divisors: 1 3 7 9 21 49 63 147 197 441 591 661 1379 1773 1983 4137 4627 5949 9653 12411 13881 19333 28959 32389 41643 57999 86877 97167 130217 135331 173997 291501 390651 405993 911519 947317 1171953 1217979 2734557 2841951 3808601 6380633 8203671 8525853 11425803 12779113 19141899 26660207 34277409 38337339 57425697 79980621 89453791 115012017 186621449 239941863 268361373 559864347 626176537 805084119 1679593041 1878529611 2517485261 5635588833 7552455783 17622396827 22657367349 52867190481 123356777789 158601571443 370070333367 1110211000101