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131212022331340 = 225371372624949307
BaseRepresentation
bin11101110101011000101101…
…111110110011011111001100
3122012120202011102212002221101
4131311120231332303133030
5114144234210204100330
61143021545414512444
736431520142430266
oct3565305576633714
9565522142762841
10131212022331340
1138898784a08845
1212871928965724
13582a318823002
1424589a5278b36
1510281d49664ca
hex77562dfb37cc

131212022331340 has 96 divisors (see below), whose sum is σ = 285074695080000. Its totient is φ = 50690594525184.

The previous prime is 131212022331337. The next prime is 131212022331347. The reversal of 131212022331340 is 43133220212131.

It is a junction number, because it is equal to n+sod(n) for n = 131212022331299 and 131212022331308.

It is not an unprimeable number, because it can be changed into a prime (131212022331347) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2661098967 + ... + 2661148273.

It is an arithmetic number, because the mean of its divisors is an integer number (2969528073750).

Almost surely, 2131212022331340 is an apocalyptic number.

131212022331340 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 131212022331340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142537347540000).

131212022331340 is an abundant number, since it is smaller than the sum of its proper divisors (153862672748660).

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

131212022331340 is a wasteful number, since it uses less digits than its factorization.

131212022331340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75739 (or 75737 counting only the distinct ones).

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

Adding to 131212022331340 its reverse (43133220212131), we get a palindrome (174345242543471).

The spelling of 131212022331340 in words is "one hundred thirty-one trillion, two hundred twelve billion, twenty-two million, three hundred thirty-one thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 37 74 137 148 185 274 370 548 685 740 1370 2740 5069 10138 20276 25345 26249 49307 50690 52498 98614 101380 104996 131245 197228 246535 262490 493070 524980 971213 986140 1824359 1942426 3596113 3648718 3884852 4856065 6755059 7192226 7297436 9121795 9712130 13510118 14384452 17980565 18243590 19424260 27020236 33775295 35961130 36487180 67550590 71922260 133056181 135101180 249937183 266112362 499874366 532224724 665280905 999748732 1249685915 1294259443 1330561810 2499371830 2588518886 2661123620 4998743660 5177037772 6471297215 12942594430 25885188860 47887599391 95775198782 177313543691 191550397564 239437996955 354627087382 478875993910 709254174764 886567718455 957751987820 1773135436910 3546270873820 6560601116567 13121202233134 26242404466268 32803005582835 65606011165670 131212022331340