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11142020120 = 23571114932423
BaseRepresentation
bin10100110000001110…
…11011110000011000
31001202111200021012212
422120013123300120
5140304324120440
65041340054252
7543052415450
oct123007336030
931674607185
1011142020120
1147a841a6a0
1221ab534388
13108749131a
14779abcd60
15453294465
hex2981dbc18

11142020120 has 128 divisors (see below), whose sum is σ = 31289379840. Its totient is φ = 3469079040.

The previous prime is 11142020089. The next prime is 11142020137. The reversal of 11142020120 is 2102024111.

It is a happy number.

It is a super-2 number, since 2×111420201202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 11142020095 and 11142020104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4597229 + ... + 4599651.

It is an arithmetic number, because the mean of its divisors is an integer number (244448280).

Almost surely, 211142020120 is an apocalyptic number.

11142020120 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 11142020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15644689920).

11142020120 is an abundant number, since it is smaller than the sum of its proper divisors (20147359720).

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

11142020120 is a wasteful number, since it uses less digits than its factorization.

11142020120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3945 (or 3941 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 11142020120 its reverse (2102024111), we get a palindrome (13244044231).

The spelling of 11142020120 in words is "eleven billion, one hundred forty-two million, twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 440 616 770 1493 1540 2423 2986 3080 4846 5972 7465 9692 10451 11944 12115 14930 16423 16961 19384 20902 24230 26653 29860 32846 33922 41804 48460 52255 53306 59720 65692 67844 82115 83608 84805 96920 104510 106612 114961 131384 133265 135688 164230 169610 186571 209020 213224 229922 266530 328460 339220 373142 418040 459844 533060 574805 656920 678440 746284 919688 932855 1066120 1149610 1492568 1865710 2299220 3617539 3731420 4598440 7235078 7462840 14470156 18087695 25322773 28940312 36175390 39792929 50645546 72350780 79585858 101291092 126613865 144701560 159171716 198964645 202582184 253227730 278550503 318343432 397929290 506455460 557101006 795858580 1012910920 1114202012 1392752515 1591717160 2228404024 2785505030 5571010060 11142020120