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11120120040 = 2335234198269
BaseRepresentation
bin10100101101100111…
…11001000011101000
31001200222110121221210
422112303321003220
5140233222320130
65035234433120
7542365314021
oct122663710350
931628417853
1011120120040
114797021857
1221a41327a0
131082a940b3
14776c1bc48
154513ba5b0
hex296cf90e8

11120120040 has 128 divisors (see below), whose sum is σ = 35660217600. Its totient is φ = 2767226880.

The previous prime is 11120120009. The next prime is 11120120059. The reversal of 11120120040 is 4002102111.

It is a happy number.

11120120040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11120119998 and 11120120025.

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 31 ways as a sum of consecutive naturals, for example, 64026 + ... + 162294.

It is an arithmetic number, because the mean of its divisors is an integer number (278595450).

Almost surely, 211120120040 is an apocalyptic number.

11120120040 is a gapful number since it is divisible by the number (10) 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 11120120040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17830108800).

11120120040 is an abundant number, since it is smaller than the sum of its proper divisors (24540097560).

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

11120120040 is a wasteful number, since it uses less digits than its factorization.

11120120040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98347 (or 98343 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11120120040 its reverse (4002102111), we get a palindrome (15122222151).

The spelling of 11120120040 in words is "eleven billion, one hundred twenty million, one hundred twenty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 41 46 60 69 82 92 115 120 123 138 164 184 205 230 246 276 328 345 410 460 492 552 615 690 820 920 943 984 1230 1380 1640 1886 2460 2760 2829 3772 4715 4920 5658 7544 9430 11316 14145 18860 22632 28290 37720 56580 98269 113160 196538 294807 393076 491345 589614 786152 982690 1179228 1474035 1965380 2260187 2358456 2948070 3930760 4029029 4520374 5896140 6780561 8058058 9040748 11300935 11792280 12087087 13561122 16116116 18081496 20145145 22601870 24174174 27122244 32232232 33902805 40290290 45203740 48348348 54244488 60435435 67805610 80580580 90407480 92667667 96696696 120870870 135611220 161161160 185335334 241741740 271222440 278003001 370670668 463338335 483483480 556006002 741341336 926676670 1112012004 1390015005 1853353340 2224024008 2780030010 3706706680 5560060020 11120120040