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1000011122011 = 1141611132711187
BaseRepresentation
bin11101000110101010100…
…11101100010101011011
310112121012111100111000101
432203111103230111123
5112341010321401021
62043222044520231
7132151131200506
oct16432523542533
93477174314011
101000011122011
11356114232040
12141985850077
13733ba691005
1436587b0013d
151b02c711a91
hexe8d54ec55b

1000011122011 has 64 divisors (see below), whose sum is σ = 1151098324992. Its totient is φ = 860751360000.

The previous prime is 1000011122003. The next prime is 1000011122029. The reversal of 1000011122011 is 1102211100001.

It is a cyclic number.

It is not a de Polignac number, because 1000011122011 - 23 = 1000011122003 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1000011122081) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 842468760 + ... + 842469946.

It is an arithmetic number, because the mean of its divisors is an integer number (17985911328).

Almost surely, 21000011122011 is an apocalyptic number.

1000011122011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1000011122011 is a deficient number, since it is larger than the sum of its proper divisors (151087202981).

1000011122011 is a wasteful number, since it uses less digits than its factorization.

1000011122011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1684.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1000011122011 its reverse (1102211100001), we get a palindrome (2102222222012).

The spelling of 1000011122011 in words is "one trillion, eleven million, one hundred twenty-two thousand, eleven".

Divisors: 1 11 41 61 113 271 451 671 1187 1243 2501 2981 4633 6893 11111 13057 16531 27511 30623 48667 50963 72407 75823 122221 134131 181841 282613 321677 336853 535337 677771 796477 1255543 1475441 1868003 2968687 3108743 3538447 5499371 7455481 8181991 13188757 13810973 19622297 20548033 32655557 36349501 60493081 76588123 90001901 145076327 215845267 335461631 399844511 804514177 842469353 1490329541 2217319561 3690077941 8849655947 16393624951 24390515171 90910102001 1000011122011