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1011111220119 = 371113835577283
BaseRepresentation
bin11101011011010101110…
…11001101001110010111
310120122212002010220001010
432231222323031032113
5113031223433020434
62052255330303303
7133023164364540
oct16555273151627
93518762126033
101011111220119
1135a89aa19040
12143b63127b33
13744692649c0
1436d1bdc94c7
151b47be749e9
hexeb6aecd397

1011111220119 has 128 divisors (see below), whose sum is σ = 1835450523648. Its totient is φ = 478081359360.

The previous prime is 1011111220117. The next prime is 1011111220121. The reversal of 1011111220119 is 9110221111101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1011111220117) and next prime (1011111220121).

It is not a de Polignac number, because 1011111220119 - 21 = 1011111220117 is a prime.

It is a super-2 number, since 2×10111112201192 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 1011111220095 and 1011111220104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011111220117) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 138828052 + ... + 138835334.

It is an arithmetic number, because the mean of its divisors is an integer number (14339457216).

Almost surely, 21011111220119 is an apocalyptic number.

1011111220119 is a deficient number, since it is larger than the sum of its proper divisors (824339303529).

1011111220119 is a wasteful number, since it uses less digits than its factorization.

1011111220119 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7957.

The product of its (nonzero) digits is 36, while the sum is 21.

The spelling of 1011111220119 in words is "one trillion, eleven billion, one hundred eleven million, two hundred twenty thousand, one hundred nineteen".

Divisors: 1 3 7 11 13 21 33 39 77 83 91 143 231 249 273 429 557 581 913 1001 1079 1671 1743 2739 3003 3237 3899 6127 6391 7241 7283 7553 11697 11869 18381 19173 21723 21849 22659 35607 42889 46231 50687 50981 79651 80113 83083 94679 128667 138693 152061 152943 238953 240339 249249 284037 323617 508541 557557 560791 601003 604489 662753 970851 1041469 1525623 1672671 1682373 1803009 1813467 1988259 3124407 3559787 4056631 4207021 4231423 6611033 6649379 7290283 7858357 10679361 12169893 12621063 12694269 19833099 19948137 21870849 23575071 28396417 44622941 46277231 46545653 52736203 55008499 85189251 86441927 133868823 138831693 139636959 158208609 165025497 259325781 312360587 336700373 369153421 580098233 605093489 937081761 1010101119 1107460263 1740294699 1815280467 2356902611 3703704103 4060687631 4377104849 7070707833 11111112309 12182062893 13131314547 25925928721 30639733943 48148153339 77777786163 91919201829 144444460017 337037073373 1011111220119