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131430201100 = 2252111729242357
BaseRepresentation
bin111101001100111011…
…0011011011100001100
3110120020121002222200221
41322121312123130030
54123132112413400
6140213405201124
712331651163602
oct1723166333414
9416217088627
10131430201100
1150814a16410
122157b8601a4
13c517298983
14650b3dd872
1536436c1c1a
hex1e99d9b70c

131430201100 has 144 divisors (see below), whose sum is σ = 340794125280. Its totient is φ = 43430195200.

The previous prime is 131430201059. The next prime is 131430201107. The reversal of 131430201100 is 1102034131.

It is a super-2 number, since 2×1314302011002 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131430201107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 421122 + ... + 663478.

It is an arithmetic number, because the mean of its divisors is an integer number (2366625870).

Almost surely, 2131430201100 is an apocalyptic number.

131430201100 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 131430201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170397062640).

131430201100 is an abundant number, since it is smaller than the sum of its proper divisors (209363924180).

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

131430201100 is a wasteful number, since it uses less digits than its factorization.

131430201100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242428 (or 242421 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 131430201100 its reverse (1102034131), we get a palindrome (132532235231).

The spelling of 131430201100 in words is "one hundred thirty-one billion, four hundred thirty million, two hundred one thousand, one hundred".

Divisors: 1 2 4 5 10 11 17 20 22 25 29 34 44 50 55 58 68 85 100 110 116 145 170 187 220 275 290 319 340 374 425 493 550 580 638 725 748 850 935 986 1100 1276 1450 1595 1700 1870 1972 2465 2900 3190 3740 4675 4930 5423 6380 7975 9350 9860 10846 12325 15950 18700 21692 24650 27115 31900 49300 54230 108460 135575 242357 271150 484714 542300 969428 1211785 2423570 2665927 4120069 4847140 5331854 6058925 7028353 8240138 10663708 12117850 13329635 14056706 16480276 20600345 24235700 26659270 28113412 35141765 41200690 45320759 53318540 66648175 70283530 77311883 82401380 90641518 103001725 119482001 133296350 140567060 154623766 175708825 181283036 206003450 226603795 238964002 266592700 309247532 351417650 386559415 412006900 453207590 477928004 597410005 702835300 773118830 906415180 1133018975 1194820010 1314302011 1546237660 1932797075 2266037950 2389640020 2628604022 2987050025 3865594150 4532075900 5257208044 5974100050 6571510055 7731188300 11948200100 13143020110 26286040220 32857550275 65715100550 131430201100