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131100120 = 2334543941
BaseRepresentation
bin1111101000001…
…10110111011000
3100010200120120000
413310012313120
5232030200440
621001533000
73151222044
oct764066730
9303616500
10131100120
1168003508
1237aa4160
1321212448
14135a9024
15b799730
hex7d06dd8

131100120 has 160 divisors (see below), whose sum is σ = 451368720. Its totient is φ = 34110720.

The previous prime is 131100113. The next prime is 131100127. The reversal of 131100120 is 21001131.

It is an interprime number because it is at equal distance from previous prime (131100113) and next prime (131100127).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131100127) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 138850 + ... + 139790.

Almost surely, 2131100120 is an apocalyptic number.

131100120 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 131100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225684360).

131100120 is an abundant number, since it is smaller than the sum of its proper divisors (320268600).

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

131100120 is a wasteful number, since it uses less digits than its factorization.

131100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 131100120 is about 11449.8960693973. The cubic root of 131100120 is about 508.0046602999.

Adding to 131100120 its reverse (21001131), we get a palindrome (152101251).

The spelling of 131100120 in words is "one hundred thirty-one million, one hundred thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 43 45 54 60 72 81 86 90 108 120 129 135 162 172 180 215 216 258 270 324 344 360 387 405 430 516 540 645 648 774 810 860 941 1032 1080 1161 1290 1548 1620 1720 1882 1935 2322 2580 2823 3096 3240 3483 3764 3870 4644 4705 5160 5646 5805 6966 7528 7740 8469 9288 9410 11292 11610 13932 14115 15480 16938 17415 18820 22584 23220 25407 27864 28230 33876 34830 37640 40463 42345 46440 50814 56460 67752 69660 76221 80926 84690 101628 112920 121389 127035 139320 152442 161852 169380 202315 203256 242778 254070 304884 323704 338760 364167 381105 404630 485556 508140 606945 609768 728334 762210 809260 971112 1016280 1092501 1213890 1456668 1524420 1618520 1820835 2185002 2427780 2913336 3048840 3277503 3641670 4370004 4855560 5462505 6555006 7283340 8740008 10925010 13110012 14566680 16387515 21850020 26220024 32775030 43700040 65550060 131100120