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1105109712 = 243271318369
BaseRepresentation
bin100000111011110…
…1010001011010000
32212000110101112100
41001313222023100
54230402002322
6301354200400
736246164130
oct10167521320
92760411470
101105109712
11517895313
1226a123100
13147c4c695
14a6aacac0
1567044dac
hex41dea2d0

1105109712 has 120 divisors (see below), whose sum is σ = 3562004160. Its totient is φ = 313297920.

The previous prime is 1105109683. The next prime is 1105109729. The reversal of 1105109712 is 2179015011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127864 + ... + 136232.

It is an arithmetic number, because the mean of its divisors is an integer number (29683368).

Almost surely, 21105109712 is an apocalyptic number.

1105109712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1105109712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1781002080).

1105109712 is an abundant number, since it is smaller than the sum of its proper divisors (2456894448).

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

1105109712 is a wasteful number, since it uses less digits than its factorization.

1105109712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8521 (or 8512 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 27.

The square root of 1105109712 is about 33243.1904606041. The cubic root of 1105109712 is about 1033.8760269241.

The spelling of 1105109712 in words is "one billion, one hundred five million, one hundred nine thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 131 144 168 252 262 336 393 504 524 786 917 1008 1048 1179 1572 1834 2096 2358 2751 3144 3668 4716 5502 6288 7336 8253 8369 9432 11004 14672 16506 16738 18864 22008 25107 33012 33476 44016 50214 58583 66024 66952 75321 100428 117166 132048 133904 150642 175749 200856 234332 301284 351498 401712 468664 527247 602568 702996 937328 1054494 1096339 1205136 1405992 2108988 2192678 2811984 3289017 4217976 4385356 6578034 7674373 8435952 8770712 9867051 13156068 15348746 17541424 19734102 23023119 26312136 30697492 39468204 46046238 52624272 61394984 69069357 78936408 92092476 122789968 138138714 157872816 184184952 276277428 368369904 552554856 1105109712