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131323321030 = 251123415323887
BaseRepresentation
bin111101001001101111…
…0101101101011000110
3110112222010222220210211
41322103132231223012
54122422232233110
6140155030310034
712326212545106
oct1722336555306
9415863886724
10131323321030
115076a655880
122154bab831a
13c4cb0b6725
1464db13b206
15363910d98a
hex1e937adac6

131323321030 has 128 divisors (see below), whose sum is σ = 280858669056. Its totient is φ = 43720934400.

The previous prime is 131323321027. The next prime is 131323321043. The reversal of 131323321030 is 30123323131.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 131323320992 and 131323321010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5485747 + ... + 5509633.

It is an arithmetic number, because the mean of its divisors is an integer number (2194208352).

Almost surely, 2131323321030 is an apocalyptic number.

131323321030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131323321030 is an abundant number, since it is smaller than the sum of its proper divisors (149535348026).

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

131323321030 is a wasteful number, since it uses less digits than its factorization.

131323321030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24022.

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 131323321030 its reverse (30123323131), we get a palindrome (161446644161).

The spelling of 131323321030 in words is "one hundred thirty-one billion, three hundred twenty-three million, three hundred twenty-one thousand, thirty".

Divisors: 1 2 5 10 11 22 23 41 46 53 55 82 106 110 115 205 230 253 265 410 451 506 530 583 902 943 1166 1219 1265 1886 2173 2255 2438 2530 2915 4346 4510 4715 5830 6095 9430 10373 10865 12190 13409 20746 21730 23887 23903 26818 47774 47806 49979 51865 67045 99958 103730 119435 119515 134090 238870 239030 249895 262757 499790 525514 549401 549769 979367 1098802 1099538 1266011 1313785 1958734 2532022 2627570 2747005 2748845 4896835 5494010 5497690 6043411 6330055 9793670 10773037 12086822 12660110 13926121 21546074 22525441 27852242 29118253 30217055 45050882 51906451 53865185 58236506 60434110 69630605 103812902 107730370 112627205 139261210 145591265 225254410 247779851 259532255 291182530 320300783 495559702 519064510 570970961 640601566 1141941922 1193848373 1238899255 1601503915 2387696746 2477798510 2854854805 3203007830 5709709610 5969241865 11938483730 13132332103 26264664206 65661660515 131323321030