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231001100132 = 2211109181281947
BaseRepresentation
bin1101011100100010111…
…1010000111101100100
3211002020212022202002012
43113020233100331210
512241042240201012
6254042003133352
722455264645065
oct3271057207544
9732225282065
10231001100132
1189a7010a610
1238929974258
1318a24c180ca
14b27548256c
15601edea622
hex35c8bd0f64

231001100132 has 96 divisors (see below), whose sum is σ = 449573604480. Its totient is φ = 102985344000.

The previous prime is 231001100117. The next prime is 231001100137.

231001100132 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (231001100137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 243928883 + ... + 243929829.

It is an arithmetic number, because the mean of its divisors is an integer number (4683058380).

Almost surely, 2231001100132 is an apocalyptic number.

231001100132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

231001100132 is a deficient number, since it is larger than the sum of its proper divisors (218572504348).

231001100132 is a wasteful number, since it uses less digits than its factorization.

231001100132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1533 (or 1531 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

It can be divided in two parts, 231001 and 100132, that added together give a palindrome (331133).

The spelling of 231001100132 in words is "two hundred thirty-one billion, one million, one hundred thousand, one hundred thirty-two".

Divisors: 1 2 4 11 22 44 109 181 218 281 362 436 562 724 947 1124 1199 1894 1991 2398 3091 3788 3982 4796 6182 7964 10417 12364 19729 20834 30629 39458 41668 50861 61258 78916 101722 103223 122516 171407 203444 206446 217019 266107 336919 342814 412892 434038 532214 559471 673838 685628 868076 1064428 1118942 1135453 1347676 1885477 2237884 2270906 2927177 3770954 4541812 5543849 5854354 7541908 11087698 11708708 18683363 22175396 29005663 37366726 48165367 58011326 60982339 74733452 96330734 116022652 121964678 192661468 205516993 243929356 319062293 411033986 529819037 638124586 822067972 1059638074 1276249172 2119276148 5250025003 10500050006 21000100012 57750275033 115500550066 231001100132