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131202120 = 23357236791
BaseRepresentation
bin1111101000111…
…11110001001000
3100010212202110210
413310133301020
5232041431440
621004041120
73152125320
oct764376110
9303782423
10131202120
1168073105
1237b331a0
13212499ba
14135d4280
15b7b9a80
hex7d1fc48

131202120 has 128 divisors (see below), whose sum is σ = 469463040. Its totient is φ = 28680960.

The previous prime is 131202089. The next prime is 131202139. The reversal of 131202120 is 21202131.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 131202096 and 131202105.

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, 15925 + ... + 22715.

It is an arithmetic number, because the mean of its divisors is an integer number (3667680).

Almost surely, 2131202120 is an apocalyptic number.

131202120 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 131202120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234731520).

131202120 is an abundant number, since it is smaller than the sum of its proper divisors (338260920).

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

131202120 is a wasteful number, since it uses less digits than its factorization.

131202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6835 (or 6831 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 131202120 is about 11454.3493922614. The cubic root of 131202120 is about 508.1363739929.

Adding to 131202120 its reverse (21202131), we get a palindrome (152404251).

The spelling of 131202120 in words is "one hundred thirty-one million, two hundred two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 23 24 28 30 35 40 42 46 56 60 69 70 84 92 105 115 120 138 140 161 168 184 210 230 276 280 322 345 420 460 483 552 644 690 805 840 920 966 1288 1380 1610 1932 2415 2760 3220 3864 4830 6440 6791 9660 13582 19320 20373 27164 33955 40746 47537 54328 67910 81492 95074 101865 135820 142611 156193 162984 190148 203730 237685 271640 285222 312386 380296 407460 468579 475370 570444 624772 713055 780965 814920 937158 950740 1093351 1140888 1249544 1426110 1561930 1874316 1901480 2186702 2342895 2852220 3123860 3280053 3748632 4373404 4685790 5466755 5704440 6247720 6560106 8746808 9371580 10933510 13120212 16400265 18743160 21867020 26240424 32800530 43734040 65601060 131202120