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11105501040 = 2432515424307
BaseRepresentation
bin10100101011111000…
…00111111101110000
31001122221221220110100
422111330013331300
5140221002013130
65033553232400
7542130126024
oct122574077560
931587856410
1011105501040
114789847337
12219b262700
13107ca45cba
14774cd4384
1544ee7dc60
hex295f07f70

11105501040 has 60 divisors (see below), whose sum is σ = 37295976744. Its totient is φ = 2961466752.

The previous prime is 11105500981. The next prime is 11105501047. The reversal of 11105501040 is 4010550111.

It is a happy number.

11105501040 is a `hidden beast` number, since 1 + 1 + 10 + 550 + 104 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11105501047) 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 11 ways as a sum of consecutive naturals, for example, 7711434 + ... + 7712873.

Almost surely, 211105501040 is an apocalyptic number.

11105501040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11105501040 is an abundant number, since it is smaller than the sum of its proper divisors (26190475704).

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

11105501040 is a wasteful number, since it uses less digits than its factorization.

11105501040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15424326 (or 15424317 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 18.

The spelling of 11105501040 in words is "eleven billion, one hundred five million, five hundred one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 15424307 30848614 46272921 61697228 77121535 92545842 123394456 138818763 154243070 185091684 231364605 246788912 277637526 308486140 370183368 462729210 555275052 616972280 694093815 740366736 925458420 1110550104 1233944560 1388187630 1850916840 2221100208 2776375260 3701833680 5552750520 11105501040