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101106061119 = 3279760127529
BaseRepresentation
bin101111000101001100…
…1000000111100111111
3100122222020220001212100
41132022121000330333
53124031122423434
6114240353440143
710206334224330
oct1361231007477
9318866801770
10101106061119
11399738101a8
1217718270053
1396c3a0318b
144c71cda287
15296b3bb699
hex178a640f3f

101106061119 has 48 divisors (see below), whose sum is σ = 168912627520. Its totient is φ = 57082060800.

The previous prime is 101106061099. The next prime is 101106061183. The reversal of 101106061119 is 911160601101.

It is not a de Polignac number, because 101106061119 - 225 = 101072506687 is a prime.

It is a super-2 number, since 2×1011060611192 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101106061092 and 101106061101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101106061519) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3658947 + ... + 3686475.

Almost surely, 2101106061119 is an apocalyptic number.

101106061119 is a deficient number, since it is larger than the sum of its proper divisors (67806566401).

101106061119 is a wasteful number, since it uses less digits than its factorization.

101106061119 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28240 (or 28237 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 27.

The spelling of 101106061119 in words is "one hundred one billion, one hundred six million, sixty-one thousand, one hundred nineteen".

Divisors: 1 3 7 9 21 63 97 291 601 679 873 1803 2037 4207 5409 6111 12621 27529 37863 58297 82587 174891 192703 247761 408079 524673 578109 1224237 1734327 2670313 3672711 8010939 16544929 18692191 24032817 49634787 56076573 115814503 148904361 168229719 347443509 1042330527 1604858113 4814574339 11234006791 14443723017 33702020373 101106061119