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111011120001 = 3331147190163
BaseRepresentation
bin110011101100011000…
…1110100001110000001
3101121112120000012021000
41213120301310032001
53304322321320001
6122555305322213
711006646644115
oct1473061641601
9347476005230
10111011120001
1143096979581
1219621496369
13a611b2b672
1455315c7745
152d4ac73a86
hex19d8c74381

111011120001 has 32 divisors (see below), whose sum is σ = 169883402240. Its totient is φ = 71570595600.

The previous prime is 111011119993. The next prime is 111011120009. The reversal of 111011120001 is 100021110111.

It is an interprime number because it is at equal distance from previous prime (111011119993) and next prime (111011120009).

It is not a de Polignac number, because 111011120001 - 23 = 111011119993 is a prime.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (111011120009) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1186146 + ... + 1276308.

It is an arithmetic number, because the mean of its divisors is an integer number (5308856320).

Almost surely, 2111011120001 is an apocalyptic number.

It is an amenable number.

111011120001 is a deficient number, since it is larger than the sum of its proper divisors (58872282239).

111011120001 is a wasteful number, since it uses less digits than its factorization.

111011120001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91674 (or 91668 counting only the distinct ones).

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

Adding to 111011120001 its reverse (100021110111), we get a palindrome (211032230112).

The spelling of 111011120001 in words is "one hundred eleven billion, eleven million, one hundred twenty thousand, one".

Divisors: 1 3 9 27 31 93 279 837 1471 4413 13239 39717 45601 90163 136803 270489 410409 811467 1231227 2434401 2795053 8385159 25155477 75466431 132629773 397889319 1193667957 3581003871 4111522963 12334568889 37003706667 111011120001