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11121032013 = 3721323421601
BaseRepresentation
bin10100101101101110…
…10111101101001101
31001201001011221221120
422112313113231031
5140233441011023
65035310151153
7542406132600
oct122667275515
931631157846
1011121032013
114797594a53
1221a44b24b9
131083023220
14776db8337
154514ea8e3
hex296dd7b4d

11121032013 has 96 divisors (see below), whose sum is σ = 19461802752. Its totient is φ = 5588352000.

The previous prime is 11121032009. The next prime is 11121032057. The reversal of 11121032013 is 31023012111.

It is a happy number.

It is not a de Polignac number, because 11121032013 - 22 = 11121032009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11121031983 and 11121032001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11121032093) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18503913 + ... + 18504513.

It is an arithmetic number, because the mean of its divisors is an integer number (202727112).

Almost surely, 211121032013 is an apocalyptic number.

11121032013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

11121032013 is a deficient number, since it is larger than the sum of its proper divisors (8340770739).

11121032013 is a wasteful number, since it uses less digits than its factorization.

11121032013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075 (or 1068 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 11121032013 its reverse (31023012111), we get a palindrome (42144044124).

The spelling of 11121032013 in words is "eleven billion, one hundred twenty-one million, thirty-two thousand, thirteen".

Divisors: 1 3 7 13 21 23 39 49 69 91 147 161 273 299 421 483 601 637 897 1127 1263 1803 1911 2093 2947 3381 4207 5473 6279 7813 8841 9683 12621 13823 14651 16419 20629 23439 29049 29449 38311 41469 43953 54691 61887 67781 88347 96761 114933 125879 164073 179699 203343 253021 268177 290283 377637 382837 474467 539097 677327 759063 804531 881153 1148511 1257893 1423401 1771147 2031981 2643459 3289273 3773679 5313441 5819483 6168071 8805251 9867819 12398029 17458449 18504213 23024911 26415753 37194087 40736381 69074733 75653279 122209143 161174377 226959837 285154667 483523131 529572953 855464001 1588718859 3707010671 11121032013