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11123215140 = 22351039831831
BaseRepresentation
bin10100101101111111…
…01100101100100100
31001201012021212122010
422112333230230210
5140240020341030
65035425034220
7542433524442
oct122677545444
931635255563
1011123215140
114798846194
1221a5185970
131083608b0b
147773c5b92
154517cc6b0
hex296fecb24

11123215140 has 96 divisors (see below), whose sum is σ = 31496564736. Its totient is φ = 2932801920.

The previous prime is 11123215139. The next prime is 11123215157. The reversal of 11123215140 is 4151232111.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 6074025 + ... + 6075855.

It is an arithmetic number, because the mean of its divisors is an integer number (328089216).

Almost surely, 211123215140 is an apocalyptic number.

11123215140 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 11123215140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15748282368).

11123215140 is an abundant number, since it is smaller than the sum of its proper divisors (20373349596).

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

11123215140 is a wasteful number, since it uses less digits than its factorization.

11123215140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2929 (or 2927 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

Adding to 11123215140 its reverse (4151232111), we get a palindrome (15274447251).

The spelling of 11123215140 in words is "eleven billion, one hundred twenty-three million, two hundred fifteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 103 206 309 412 515 618 983 1030 1236 1545 1831 1966 2060 2949 3090 3662 3932 4915 5493 5898 6180 7324 9155 9830 10986 11796 14745 18310 19660 21972 27465 29490 36620 54930 58980 101249 109860 188593 202498 303747 377186 404996 506245 565779 607494 754372 942965 1012490 1131558 1214988 1518735 1799873 1885930 2024980 2263116 2828895 3037470 3599746 3771860 5399619 5657790 6074940 7199492 8999365 10799238 11315580 17998730 21598476 26998095 35997460 53996190 107992380 185386919 370773838 556160757 741547676 926934595 1112321514 1853869190 2224643028 2780803785 3707738380 5561607570 11123215140