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131212213324300 = 225226919312526037
BaseRepresentation
bin11101110101011000111001…
…010111011000101000001100
3122012120202122202020120000201
4131311120321113120220030
5114144240103102334200
61143022020400303244
736431524652022133
oct3565307127305014
9565522582216021
10131212213324300
11388988727a9669
1212871980911b24
13582a3492756b4
1424589c279491a
1510281e65e1c6a
hex7756395d8a0c

131212213324300 has 72 divisors (see below), whose sum is σ = 285937094323440. Its totient is φ = 52262674425600.

The previous prime is 131212213324277. The next prime is 131212213324307. The reversal of 131212213324300 is 3423312212131.

It is a super-2 number, since 2×1312122133243002 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131212213324307) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50680882 + ... + 53206918.

It is an arithmetic number, because the mean of its divisors is an integer number (3971348532270).

Almost surely, 2131212213324300 is an apocalyptic number.

131212213324300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131212213324300 is an abundant number, since it is smaller than the sum of its proper divisors (154724880999140).

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

131212213324300 is a wasteful number, since it uses less digits than its factorization.

131212213324300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2528251 (or 2528244 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 131212213324300 its reverse (3423312212131), we get a palindrome (134635525536431).

The spelling of 131212213324300 in words is "one hundred thirty-one trillion, two hundred twelve billion, two hundred thirteen million, three hundred twenty-four thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 269 538 1076 1345 1931 2690 3862 5380 6725 7724 9655 13450 19310 26900 38620 48275 96550 193100 519439 1038878 2077756 2526037 2597195 5052074 5194390 10104148 10388780 12630185 12985975 25260370 25971950 50520740 51943900 63150925 126301850 252603700 679503953 1359007906 2718015812 3397519765 4877777447 6795039530 9755554894 13590079060 16987598825 19511109788 24388887235 33975197650 48777774470 67950395300 97555548940 121944436175 243888872350 487777744700 1312122133243 2624244266486 5248488532972 6560610666215 13121221332430 26242442664860 32803053331075 65606106662150 131212213324300