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1011111201009 = 3271337254313121
BaseRepresentation
bin11101011011010101110…
…11001000100011110001
310120122212002002220211100
432231222323020203301
5113031223431413014
62052255330035013
7133023164255040
oct16555273104361
93518762086740
101011111201009
1135a89aa05748
12143b63118a69
13744692590b0
1436d1bdc2557
151b47be6e009
hexeb6aec88f1

1011111201009 has 96 divisors (see below), whose sum is σ = 1846979656704. Its totient is φ = 518675374080.

The previous prime is 1011111200971. The next prime is 1011111201047. The reversal of 1011111201009 is 9001021111101.

It is an interprime number because it is at equal distance from previous prime (1011111200971) and next prime (1011111201047).

It is not a de Polignac number, because 1011111201009 - 211 = 1011111198961 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1011111200982 and 1011111201000.

It is not an unprimeable number, because it can be changed into a prime (1011111202009) 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, 77053969 + ... + 77067089.

It is an arithmetic number, because the mean of its divisors is an integer number (19239371424).

Almost surely, 21011111201009 is an apocalyptic number.

It is an amenable number.

1011111201009 is a deficient number, since it is larger than the sum of its proper divisors (835868455695).

1011111201009 is a wasteful number, since it uses less digits than its factorization.

1011111201009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15727 (or 15724 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 18.

The spelling of 1011111201009 in words is "one trillion, eleven billion, one hundred eleven million, two hundred one thousand, nine".

Divisors: 1 3 7 9 13 21 37 39 63 91 111 117 259 273 333 481 777 819 1443 2331 2543 3367 4329 7629 10101 13121 17801 22887 30303 33059 39363 53403 91847 94091 99177 118089 160209 170573 231413 275541 282273 297531 485477 511719 658637 694239 826623 846819 1194011 1223183 1456431 1535157 1975911 2082717 3398339 3582033 3669549 4369293 5927733 6311201 8562281 10195017 10746099 11008647 18933603 25686843 30585051 33366703 44178407 56800809 77060529 100100109 132535221 233566921 300300327 397605663 433767139 700700763 1234568011 1301301417 2102102289 3036369973 3703704033 3903904251 8641976077 9109109919 11111112099 16049384143 25925928231 27327329757 48148152429 77777784693 112345689001 144444457287 337037067003 1011111201009