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105450054333 = 31323230716649
BaseRepresentation
bin110001000110101010…
…0000010001010111101
3101002011222212210021220
41202031110002022331
53211430203214313
6120235412343553
710422102446511
oct1421524021275
9332158783256
10105450054333
11407a2896638
121852b014bb9
139c36986970
145164bd6141
152b22940823
hex188d5022bd

105450054333 has 48 divisors (see below), whose sum is σ = 158810097600. Its totient is φ = 61865033472.

The previous prime is 105450054323. The next prime is 105450054349. The reversal of 105450054333 is 333450054501.

It is not a de Polignac number, because 105450054333 - 214 = 105450037949 is a prime.

It is a super-2 number, since 2×1054500543332 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105450054294 and 105450054303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105450054323) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6325393 + ... + 6342041.

It is an arithmetic number, because the mean of its divisors is an integer number (3308543700).

Almost surely, 2105450054333 is an apocalyptic number.

105450054333 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

105450054333 is a deficient number, since it is larger than the sum of its proper divisors (53360043267).

105450054333 is a wasteful number, since it uses less digits than its factorization.

105450054333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17018 (or 16995 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 33.

The spelling of 105450054333 in words is "one hundred five billion, four hundred fifty million, fifty-four thousand, three hundred thirty-three".

Divisors: 1 3 13 23 39 69 299 307 529 897 921 1587 3991 6877 7061 11973 16649 20631 21183 49947 91793 162403 216437 275379 382927 487209 649311 1148781 2111239 4978051 5111243 6333717 8807321 14934153 15333729 26421963 66446159 114495173 117558589 199338477 343485519 352675767 1528261657 2703847547 4584784971 8111542641 35150018111 105450054333