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120131000 = 23531167163
BaseRepresentation
bin1110010100100…
…00110110111000
322101001021202022
413022100312320
5221223143000
615530454012
72656045103
oct712206670
9271037668
10120131000
11618a1220
1234294308
131bb71742
1411d5173a
15a82e585
hex7290db8

120131000 has 128 divisors (see below), whose sum is σ = 313148160. Its totient is φ = 42768000.

The previous prime is 120130999. The next prime is 120131023. The reversal of 120131000 is 131021.

It is a super-2 number, since 2×1201310002 = 28862914322000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 736919 + ... + 737081.

It is an arithmetic number, because the mean of its divisors is an integer number (2446470).

Almost surely, 2120131000 is an apocalyptic number.

120131000 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 120131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156574080).

120131000 is an abundant number, since it is smaller than the sum of its proper divisors (193017160).

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

120131000 is a wasteful number, since it uses less digits than its factorization.

120131000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 120131000 is about 10960.4288237277. The cubic root of 120131000 is about 493.4218350272.

Adding to 120131000 its reverse (131021), we get a palindrome (120262021).

The spelling of 120131000 in words is "one hundred twenty million, one hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 67 88 100 110 125 134 163 200 220 250 268 275 326 335 440 500 536 550 652 670 737 815 1000 1100 1304 1340 1375 1474 1630 1675 1793 2200 2680 2750 2948 3260 3350 3586 3685 4075 5500 5896 6520 6700 7172 7370 8150 8375 8965 10921 11000 13400 14344 14740 16300 16750 17930 18425 20375 21842 29480 32600 33500 35860 36850 40750 43684 44825 54605 67000 71720 73700 81500 87368 89650 92125 109210 120131 147400 163000 179300 184250 218420 224125 240262 273025 358600 368500 436840 448250 480524 546050 600655 737000 896500 961048 1092100 1201310 1365125 1793000 2184200 2402620 2730250 3003275 4805240 5460500 6006550 10921000 12013100 15016375 24026200 30032750 60065500 120131000