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1011012112005 = 357267142714387
BaseRepresentation
bin11101011011001010000…
…01001000111010000101
310120122121011122200021020
432231211001020322011
5113031023100041010
62052241430141353
7133020552105600
oct16554501107205
93518534580236
101011012112005
1135a849a86705
12143b35ab1859
137445187414c
1436d0cb8b337
151b4733e9470
hexeb65048e85

1011012112005 has 96 divisors (see below), whose sum is σ = 1911277057536. Its totient is φ = 454928132736.

The previous prime is 1011012111973. The next prime is 1011012112013. The reversal of 1011012112005 is 5002112101101.

It is not a de Polignac number, because 1011012112005 - 25 = 1011012111973 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 70265422 + ... + 70279808.

It is an arithmetic number, because the mean of its divisors is an integer number (19909136016).

Almost surely, 21011012112005 is an apocalyptic number.

1011012112005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1011012112005 is a deficient number, since it is larger than the sum of its proper divisors (900264945531).

1011012112005 is a wasteful number, since it uses less digits than its factorization.

1011012112005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15903 (or 15896 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 15.

Adding to 1011012112005 its reverse (5002112101101), we get a palindrome (6013124213106).

The spelling of 1011012112005 in words is "one trillion, eleven billion, twelve million, one hundred twelve thousand, five".

Divisors: 1 3 5 7 15 21 35 49 67 105 147 201 245 335 469 735 1005 1407 1427 2345 3283 4281 7035 7135 9849 9989 14387 16415 21405 29967 43161 49245 49945 69923 71935 95609 100709 149835 209769 215805 286827 302127 349615 478045 503545 669263 704963 963929 1048845 1434135 1510635 2007789 2114889 2891787 3346315 3524815 4684841 4819645 6747503 10038945 10574445 14054523 14458935 20242509 20530249 23424205 33737515 47232521 61590747 70272615 101212545 102651245 141697563 143711743 236162605 307953735 431135229 708487815 718558715 1005982201 1375526683 2155676145 3017946603 4126580049 5029911005 6877633415 9628686781 15089733015 20632900245 28886060343 48143433905 67400807467 144430301715 202202422401 337004037335 1011012112005