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131123321102032 = 24711292059950341
BaseRepresentation
bin11101110100000110000110…
…111110011101111011010000
3122012021021012200211210021021
4131310012012332131323100
5114141311030200231112
61142513115551405224
736422230063424230
oct3564060676357320
9565237180753237
10131123321102032
11388640a7425366
12128586b2b23814
135821b50ac82cc
14245458ca5bcc0
151025c42635907
hex774186f9ded0

131123321102032 has 80 divisors (see below), whose sum is σ = 290621546848000. Its totient is φ = 56142093358080.

The previous prime is 131123321101933. The next prime is 131123321102051. The reversal of 131123321102032 is 230201123321131.

It is a super-3 number, since 3×1311233211020323 (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131123321101988 and 131123321102006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2604677182 + ... + 2604727522.

It is an arithmetic number, because the mean of its divisors is an integer number (3632769335600).

Almost surely, 2131123321102032 is an apocalyptic number.

It is an amenable number.

131123321102032 is an abundant number, since it is smaller than the sum of its proper divisors (159498225745968).

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

131123321102032 is a wasteful number, since it uses less digits than its factorization.

131123321102032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72084 (or 72078 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 131123321102032 its reverse (230201123321131), we get a palindrome (361324444423163).

The spelling of 131123321102032 in words is "one hundred thirty-one trillion, one hundred twenty-three billion, three hundred twenty-one million, one hundred two thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 56 112 1129 2258 4516 7903 9032 15806 18064 20599 31612 41198 50341 63224 82396 100682 126448 144193 164792 201364 288386 329584 352387 402728 576772 704774 805456 1153544 1409548 2307088 2819096 5638192 23256271 46512542 56834989 93025084 113669978 162793897 186050168 227339956 325587794 372100336 397844923 454679912 651175588 795689846 909359824 1036974259 1302351176 1591379692 2073948518 2604702352 3182759384 4147897036 6365518768 7258819813 8295794072 14517639626 16591588144 29035279252 58070558504 116141117008 1170743938411 2341487876822 4682975753644 8195207568877 9365951507288 16390415137754 18731903014576 32780830275508 65561660551016 131123321102032