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10303440120 = 2332528620667
BaseRepresentation
bin10011001100010001…
…00000010011111000
3222121001201222201100
421212020200103320
5132100140040440
64422222251400
7513220540011
oct114610402370
928531658640
1010303440120
114408029076
121bb6726b60
13c8282103c
146da590008
1540484b230
hex2662204f8

10303440120 has 48 divisors (see below), whose sum is σ = 33486181560. Its totient is φ = 2747583936.

The previous prime is 10303440113. The next prime is 10303440127. The reversal of 10303440120 is 2104430301.

10303440120 is a `hidden beast` number, since 103 + 0 + 3 + 440 + 120 = 666.

It is an interprime number because it is at equal distance from previous prime (10303440113) and next prime (10303440127).

It is a super-2 number, since 2×103034401202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10303440093 and 10303440102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10303440127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14309974 + ... + 14310693.

Almost surely, 210303440120 is an apocalyptic number.

10303440120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10303440120 is an abundant number, since it is smaller than the sum of its proper divisors (23182741440).

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

10303440120 is a wasteful number, since it uses less digits than its factorization.

10303440120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28620684 (or 28620677 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10303440120 its reverse (2104430301), we get a palindrome (12407870421).

The spelling of 10303440120 in words is "ten billion, three hundred three million, four hundred forty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 28620667 57241334 85862001 114482668 143103335 171724002 228965336 257586003 286206670 343448004 429310005 515172006 572413340 686896008 858620010 1030344012 1144826680 1287930015 1717240020 2060688024 2575860030 3434480040 5151720060 10303440120