Search a number
-
+
1011105509994 = 234311087185221
BaseRepresentation
bin11101011011010101001…
…01011011001001101010
310120122211200101210020000
432231222211123021222
5113031221002304434
62052255004043430
7133023065013126
oct16555245331152
93518750353200
101011105509994
1135a897778a28
12143b61233576
1374468015928
1436d1b340586
151b47b6e7b99
hexeb6a95b26a

1011105509994 has 80 divisors (see below), whose sum is σ = 2340874162176. Its totient is φ = 325861250400.

The previous prime is 1011105509983. The next prime is 1011105510011. The reversal of 1011105509994 is 4999055011101.

It is a happy number.

1011105509994 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 1 + 0 + 550 + 9 + 9 + 94 = 666.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5366304 + ... + 5551524.

Almost surely, 21011105509994 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1011105509994, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1170437081088).

1011105509994 is an abundant number, since it is smaller than the sum of its proper divisors (1329768652182).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1011105509994 is a wasteful number, since it uses less digits than its factorization.

1011105509994 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186353 (or 186344 counting only the distinct ones).

The product of its (nonzero) digits is 72900, while the sum is 45.

The spelling of 1011105509994 in words is "one trillion, eleven billion, one hundred five million, five hundred nine thousand, nine hundred ninety-four".

Divisors: 1 2 3 6 9 18 27 31 54 62 81 93 162 186 279 558 837 1087 1674 2174 2511 3261 5022 6522 9783 19566 29349 33697 58698 67394 88047 101091 176094 185221 202182 303273 370442 555663 606546 909819 1111326 1666989 1819638 2729457 3333978 5000967 5458914 5741851 10001934 11483702 15002901 17225553 30005802 34451106 51676659 103353318 155029977 201335227 310059954 402670454 465089931 604005681 930179862 1208011362 1812017043 3624034086 5436051129 6241392037 10872102258 12482784074 16308153387 18724176111 32616306774 37448352222 56172528333 112345056666 168517584999 337035169998 505552754997 1011105509994