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1031200120 = 235316113633
BaseRepresentation
bin111101011101101…
…101110101111000
32122212101101122001
4331131231311320
54102441400440
6250154110344
734361025226
oct7535556570
92585341561
101031200120
1148a0a3a05
1224941b3b4
131358424b2
149ad4db16
15607e5b9a
hex3d76dd78

1031200120 has 64 divisors (see below), whose sum is σ = 2434487040. Its totient is φ = 392601600.

The previous prime is 1031200099. The next prime is 1031200133. The reversal of 1031200120 is 210021301.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1031200097 and 1031200106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68824 + ... + 82456.

It is an arithmetic number, because the mean of its divisors is an integer number (38038860).

Almost surely, 21031200120 is an apocalyptic number.

1031200120 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 1031200120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1217243520).

1031200120 is an abundant number, since it is smaller than the sum of its proper divisors (1403286920).

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

1031200120 is a wasteful number, since it uses less digits than its factorization.

1031200120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13736 (or 13732 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 1031200120 is about 32112.3048067248. The cubic root of 1031200120 is about 1010.2937158382.

Adding to 1031200120 its reverse (210021301), we get a palindrome (1241221421).

The spelling of 1031200120 in words is "one billion, thirty-one million, two hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 31 40 61 62 122 124 155 244 248 305 310 488 610 620 1220 1240 1891 2440 3782 7564 9455 13633 15128 18910 27266 37820 54532 68165 75640 109064 136330 272660 422623 545320 831613 845246 1663226 1690492 2113115 3326452 3380984 4158065 4226230 6652904 8316130 8452460 16632260 16904920 25780003 33264520 51560006 103120012 128900015 206240024 257800030 515600060 1031200120