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11141402120 = 2352915163607
BaseRepresentation
bin10100110000001010…
…00100111000001000
31001202110111212110222
422120011010320020
5140304144331440
65041314525212
7543044232632
oct123005047010
931673455428
1011141402120
1147a8038352
1221ab296808
131087305c44
1477999ba52
154531c12b5
hex298144e08

11141402120 has 64 divisors (see below), whose sum is σ = 26104723200. Its totient is φ = 4274323200.

The previous prime is 11141402117. The next prime is 11141402137. The reversal of 11141402120 is 2120414111.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143357 + ... + 206963.

It is an arithmetic number, because the mean of its divisors is an integer number (407886300).

Almost surely, 211141402120 is an apocalyptic number.

11141402120 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 11141402120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13052361600).

11141402120 is an abundant number, since it is smaller than the sum of its proper divisors (14963321080).

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

11141402120 is a wasteful number, since it uses less digits than its factorization.

11141402120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63798 (or 63794 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 11141402120 its reverse (2120414111), we get a palindrome (13261816231).

The spelling of 11141402120 in words is "eleven billion, one hundred forty-one million, four hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 151 232 290 302 580 604 755 1160 1208 1510 3020 4379 6040 8758 17516 21895 35032 43790 63607 87580 127214 175160 254428 318035 508856 636070 1272140 1844603 2544280 3689206 7378412 9223015 9604657 14756824 18446030 19209314 36892060 38418628 48023285 73784120 76837256 96046570 192093140 278535053 384186280 557070106 1114140212 1392675265 2228280424 2785350530 5570701060 11141402120