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11211101120 = 265318710993
BaseRepresentation
bin10100111000011101…
…11101001111000000
31001221022122221112102
422130032331033000
5140430020213440
65052244445532
7544551534002
oct123416751700
931838587472
1011211101120
11483341322a
12220a6a98a8
13109889a75b
14784d42372
1545938cb15
hex29c3bd3c0

11211101120 has 56 divisors (see below), whose sum is σ = 26707240464. Its totient is φ = 4482625536.

The previous prime is 11211101093. The next prime is 11211101173. The reversal of 11211101120 is 2110111211.

11211101120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1014344 + ... + 1025336.

Almost surely, 211211101120 is an apocalyptic number.

11211101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11211101120 is an abundant number, since it is smaller than the sum of its proper divisors (15496139344).

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

11211101120 is a wasteful number, since it uses less digits than its factorization.

11211101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14197 (or 14187 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 11211101120 its reverse (2110111211), we get a palindrome (13321212331).

The spelling of 11211101120 in words is "eleven billion, two hundred eleven million, one hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 3187 6374 10993 12748 15935 21986 25496 31870 43972 50992 54965 63740 87944 101984 109930 127480 175888 203968 219860 254960 351776 439720 509920 703552 879440 1019840 1758880 3517760 35034691 70069382 140138764 175173455 280277528 350346910 560555056 700693820 1121110112 1401387640 2242220224 2802775280 5605550560 11211101120