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113550350511141 = 32372819111332047
BaseRepresentation
bin11001110100011000000000…
…010011100110110000100101
3112220001022022011101202022200
4121310120000103212300211
5104340402104212324031
61041300151052445113
732626512353112405
oct3164300023466045
9486038264352280
10113550350511141
11331a9484680645
121089a99a779799
134b489a14c388b
142007c1b14c805
15d1da8a0b98e6
hex6746004e6c25

113550350511141 has 48 divisors (see below), whose sum is σ = 169235227819008. Its totient is φ = 73311549292800.

The previous prime is 113550350511053. The next prime is 113550350511209. The reversal of 113550350511141 is 141115053055311.

113550350511141 is a `hidden beast` number, since 1 + 1 + 3 + 5 + 5 + 0 + 3 + 505 + 1 + 1 + 141 = 666.

It is not a de Polignac number, because 113550350511141 - 211 = 113550350509093 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 113550350511096 and 113550350511105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113550350511041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84578980 + ... + 85911026.

It is an arithmetic number, because the mean of its divisors is an integer number (3525733912896).

Almost surely, 2113550350511141 is an apocalyptic number.

It is an amenable number.

113550350511141 is a deficient number, since it is larger than the sum of its proper divisors (55684877307867).

113550350511141 is a wasteful number, since it uses less digits than its factorization.

113550350511141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1333282 (or 1333279 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 36.

The spelling of 113550350511141 in words is "one hundred thirteen trillion, five hundred fifty billion, three hundred fifty million, five hundred eleven thousand, one hundred forty-one".

Divisors: 1 3 9 37 111 281 333 843 911 2529 2733 8199 10397 31191 33707 93573 101121 255991 303363 767973 1332047 2303919 3996141 9471667 11988423 28415001 49285739 85245003 147857217 374305207 443571651 1122915621 1213494817 3368746863 3640484451 10921453353 13849292659 41547877977 44899308229 124643633931 134697924687 340992043577 404093774061 1022976130731 3068928392193 12616705612349 37850116837047 113550350511141