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105455451012441 = 31093181101381243
BaseRepresentation
bin10111111110100101000010…
…101100100111110101011001
3111211101102221200212022122020
4113332211002230213311121
5102310240230424344231
61012141322043045053
731132622245502625
oct2776450254476531
9454342850768566
10105455451012441
1130668450973442
12b9b1b81210789
1346ac538a095ba
141c080dcdd2185
15c2d211ac4396
hex5fe942b27d59

105455451012441 has 16 divisors (see below), whose sum is σ = 141941852099520. Its totient is φ = 69636747504960.

The previous prime is 105455451012421. The next prime is 105455451012449. The reversal of 105455451012441 is 144210154554501.

It is not a de Polignac number, because 105455451012441 - 213 = 105455451004249 is a prime.

It is a super-2 number, since 2×1054554510124412 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105455451012393 and 105455451012402.

It is not an unprimeable number, because it can be changed into a prime (105455451012449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49650435 + ... + 51730808.

It is an arithmetic number, because the mean of its divisors is an integer number (8871365756220).

Almost surely, 2105455451012441 is an apocalyptic number.

It is an amenable number.

105455451012441 is a deficient number, since it is larger than the sum of its proper divisors (36486401087079).

105455451012441 is a wasteful number, since it uses less digits than its factorization.

105455451012441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101384536.

The product of its (nonzero) digits is 320000, while the sum is 42.

The spelling of 105455451012441 in words is "one hundred five trillion, four hundred fifty-five billion, four hundred fifty-one million, twelve thousand, four hundred forty-one".

Divisors: 1 3 109 327 3181 9543 346729 1040187 101381243 304143729 11050555487 33151666461 322493733983 967481201949 35151817004147 105455451012441