Search a number
-
+
1106013245168 = 241321932119319
BaseRepresentation
bin10000000110000011100…
…001101100111011110000
310220201210222001021100202
4100012003201230323300
5121110103342321133
62204032342134332
7142623016316366
oct20060341547360
93821728037322
101106013245168
1139706a7090a7
1215a4297213a8
13803b1830a00
143b761d63636
151db838532e8
hex1018386cef0

1106013245168 has 60 divisors (see below), whose sum is σ = 2332443057840. Its totient is φ = 507822501888.

The previous prime is 1106013245147. The next prime is 1106013245191. The reversal of 1106013245168 is 8615423106011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 537788 + ... + 1581531.

It is an arithmetic number, because the mean of its divisors is an integer number (38874050964).

Almost surely, 21106013245168 is an apocalyptic number.

It is an amenable number.

1106013245168 is an abundant number, since it is smaller than the sum of its proper divisors (1226429812672).

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

1106013245168 is a wasteful number, since it uses less digits than its factorization.

1106013245168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2119546 (or 2119527 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 38.

The spelling of 1106013245168 in words is "one trillion, one hundred six billion, thirteen million, two hundred forty-five thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 52 104 169 193 208 338 386 676 772 1352 1544 2509 2704 3088 5018 10036 20072 32617 40144 65234 130468 260936 521872 2119319 4238638 8477276 16954552 27551147 33909104 55102294 110204588 220409176 358164911 409028567 440818352 716329822 818057134 1432659644 1636114268 2865319288 3272228536 5317371371 5730638576 6544457072 10634742742 21269485484 42538970968 69125827823 85077941936 138251655646 276503311292 553006622584 1106013245168