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1055165106501 = 321124333236781
BaseRepresentation
bin11110101101011001011…
…11011100100101000101
310201212120021022012012200
433112230233130211011
5114241434231402001
62124423002105113
7136142655264222
oct17265457344505
93655507265180
101055165106501
11377547215a00
121505b87ab199
137866a154cac
14390dab36949
151c6a97c8086
hexf5acbdc945

1055165106501 has 72 divisors (see below), whose sum is σ = 1715009263968. Its totient is φ = 624341995200.

The previous prime is 1055165106461. The next prime is 1055165106521. The reversal of 1055165106501 is 1056015615501.

It is a happy number.

1055165106501 is a `hidden beast` number, since 1 + 0 + 551 + 6 + 51 + 0 + 6 + 50 + 1 = 666.

It is not a de Polignac number, because 1055165106501 - 29 = 1055165105989 is a prime.

It is a super-2 number, since 2×10551651065012 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1055165106521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 155602731 + ... + 155609511.

Almost surely, 21055165106501 is an apocalyptic number.

1055165106501 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1055165106501 is a deficient number, since it is larger than the sum of its proper divisors (659844157467).

1055165106501 is a wasteful number, since it uses less digits than its factorization.

1055165106501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10175 (or 10161 counting only the distinct ones).

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

The spelling of 1055165106501 in words is "one trillion, fifty-five billion, one hundred sixty-five million, one hundred six thousand, five hundred one".

Divisors: 1 3 9 11 33 43 99 121 129 363 387 473 1089 1419 3323 4257 5203 6781 9969 15609 20343 29907 36553 46827 61029 74591 109659 142889 223773 291583 328977 402083 428667 671319 820501 874749 1206249 1286001 1571779 2461503 2624247 3207413 3618747 4715337 7384509 9622239 14146011 17289569 22533263 28866717 35281543 51868707 67599789 105844629 155606121 202799367 247865893 317533887 743597679 968930309 2230793037 2726524823 2906790927 8179574469 8720372781 10658233399 24538723407 31974700197 95924100591 117240567389 351721702167 1055165106501