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131142411430300 = 225217204007378137
BaseRepresentation
bin11101110100010111111000…
…110110010010100110011100
3122012100002111010122221111101
4131310113320312102212130
5114142114124311232200
61142525554143402444
736423504131511034
oct3564277066224634
9565302433587441
10131142411430300
1138871203416566
12128603402b3424
1358238a3ba123a
1424554801ca8c4
1510264ad5b426a
hex7745f8d9299c

131142411430300 has 72 divisors (see below), whose sum is σ = 301321249768224. Its totient is φ = 49370888202240.

The previous prime is 131142411430271. The next prime is 131142411430333. The reversal of 131142411430300 is 3034114241131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 346622832 + ... + 347000968.

It is an arithmetic number, because the mean of its divisors is an integer number (4185017357892).

Almost surely, 2131142411430300 is an apocalyptic number.

131142411430300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131142411430300 is an abundant number, since it is smaller than the sum of its proper divisors (170178838337924).

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

131142411430300 is a wasteful number, since it uses less digits than its factorization.

131142411430300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582175 (or 582168 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 131142411430300 its reverse (3034114241131), we get a palindrome (134176525671431).

It can be divided in two parts, 13114241 and 1430300, that added together give a palindrome (14544541).

The spelling of 131142411430300 in words is "one hundred thirty-one trillion, one hundred forty-two billion, four hundred eleven million, four hundred thirty thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 204007 378137 408014 756274 816028 1020035 1512548 1890685 2040070 3468119 3781370 4080140 5100175 6428329 6936238 7562740 9453425 10200350 12856658 13872476 17340595 18906850 20400700 25713316 32141645 34681190 37813700 64283290 69362380 86702975 128566580 160708225 173405950 321416450 346811900 642832900 77142594959 154285189918 308570379836 385712974795 771425949590 1311424114303 1542851899180 1928564873975 2622848228606 3857129747950 5245696457212 6557120571515 7714259495900 13114241143030 26228482286060 32785602857575 65571205715150 131142411430300