Search a number
-
+
1148332755801 = 3711113433101599
BaseRepresentation
bin10000101101011101111…
…101110100101101011001
311001210001021200011021110
4100231131331310231121
5122303241141141201
62235311540130533
7145651520242020
oct20553575645531
94053037604243
101148332755801
114030069a3880
1216667a396a49
13843972c9b6a
143d8185db8b7
151ed0dcb26d6
hex10b5df74b59

1148332755801 has 64 divisors (see below), whose sum is σ = 1930276454400. Its totient is φ = 589886115840.

The previous prime is 1148332755793. The next prime is 1148332755809. The reversal of 1148332755801 is 1085572338411.

It is an interprime number because it is at equal distance from previous prime (1148332755793) and next prime (1148332755809).

It is not a de Polignac number, because 1148332755801 - 23 = 1148332755793 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1148332755809) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11251800 + ... + 11353398.

It is an arithmetic number, because the mean of its divisors is an integer number (30160569600).

Almost surely, 21148332755801 is an apocalyptic number.

1148332755801 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1148332755801 is a deficient number, since it is larger than the sum of its proper divisors (781943698599).

1148332755801 is a wasteful number, since it uses less digits than its factorization.

1148332755801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102166.

The product of its (nonzero) digits is 806400, while the sum is 48.

The spelling of 1148332755801 in words is "one trillion, one hundred forty-eight billion, three hundred thirty-two million, seven hundred fifty-five thousand, eight hundred one".

Divisors: 1 3 7 11 21 33 77 113 231 339 433 791 1243 1299 2373 3031 3729 4763 8701 9093 14289 26103 33341 48929 100023 101599 146787 304797 342503 538219 711193 1027509 1117589 1614657 2133579 3352767 3767533 7823123 11302599 11480687 23469369 34442061 43992367 80364809 126287557 131977101 241094427 307946569 378862671 483916037 884012899 923839707 1451748111 2652038697 3387412259 4971137471 10162236777 14913412413 34797962297 54682512181 104393886891 164047536543 382777585267 1148332755801