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100132113710314 = 27233783283357809
BaseRepresentation
bin10110110001000111010011…
…000100010111110011101010
3111010112112111011120101100201
4112301013103010113303222
5101111031032102212224
6552544020310022414
730043210060145320
oct2661072304276352
9433475434511321
10100132113710314
11299a5877829134
12b292336347a0a
1343b4557bc8c2a
141aa25c4cd5d10
15b899ecea7a44
hex5b11d3117cea

100132113710314 has 128 divisors (see below), whose sum is σ = 186834115399680. Its totient is φ = 39317820816384.

The previous prime is 100132113710191. The next prime is 100132113710327. The reversal of 100132113710314 is 413017311231001.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 279669042 + ... + 280026850.

It is an arithmetic number, because the mean of its divisors is an integer number (1459641526560).

Almost surely, 2100132113710314 is an apocalyptic number.

100132113710314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

100132113710314 is a deficient number, since it is larger than the sum of its proper divisors (86702001689366).

100132113710314 is a wasteful number, since it uses less digits than its factorization.

100132113710314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358244.

The product of its (nonzero) digits is 1512, while the sum is 28.

Adding to 100132113710314 its reverse (413017311231001), we get a palindrome (513149424941315).

The spelling of 100132113710314 in words is "one hundred trillion, one hundred thirty-two billion, one hundred thirteen million, seven hundred ten thousand, three hundred fourteen".

Divisors: 1 2 7 14 23 37 46 74 83 161 166 259 283 322 518 566 581 851 1162 1702 1909 1981 3071 3818 3962 5957 6142 6509 10471 11914 13018 13363 20942 21497 23489 26726 42994 45563 46978 70633 73297 91126 141266 146594 164423 240833 328846 357809 481666 494431 540247 715618 869093 988862 1080494 1685831 1738186 2504663 3371662 3781729 5009326 6083651 7563458 8229607 12167302 13238933 16459214 19989139 26477866 29698147 39978278 57607249 59396294 92672531 101259947 115214498 139923973 185345062 202519894 207887029 279847946 304495459 415774058 608990918 683057381 708819629 1098831439 1366114762 1417639258 2131468213 2197662878 2328978781 3746618039 4262936426 4657957562 4781401667 7493236078 7691820073 8404575601 9562803334 15383640146 16302851467 16809151202 25273123097 26226326273 32605702934 50546246194 52452652546 58832029207 86172214897 117664058414 172344429794 176911861679 193305238823 310969297237 353823723358 386610477646 603205504279 621938594474 1206411008558 1353136671761 2176785080659 2706273343522 4353570161318 7152293836451 14304587672902 50066056855157 100132113710314