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313132340100200 = 235211369137713229
BaseRepresentation
bin100011100110010101100110…
…1111001100011110001101000
31112001201011022011200202202012
41013030223031321203301220
5312020330013031201300
63025551002224255052
7122646031203523415
oct10714531571436150
91461634264622665
10313132340100200
1190856752709255
122b15318b171488
1310595339a0a21a
145747986a3310c
1526304564ec435
hex11ccacde63c68

313132340100200 has 48 divisors (see below), whose sum is σ = 728096732671500. Its totient is φ = 125241918072320.

The previous prime is 313132340100199. The next prime is 313132340100233. The reversal of 313132340100200 is 2001043231313.

It can be written as a sum of positive squares in 6 ways, for example, as 35169620438404 + 277962719661796 = 5930398^2 + 16672214^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66582815 + ... + 71130414.

Almost surely, 2313132340100200 is an apocalyptic number.

It is an amenable number.

313132340100200 is an abundant number, since it is smaller than the sum of its proper divisors (414964392571300).

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

313132340100200 is a wasteful number, since it uses less digits than its factorization.

313132340100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137724614 (or 137724605 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 313132340100200 its reverse (2001043231313), we get a palindrome (315133383331513).

The spelling of 313132340100200 in words is "three hundred thirteen trillion, one hundred thirty-two billion, three hundred forty million, one hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 11369 22738 45476 56845 90952 113690 227380 284225 454760 568450 1136900 2273800 137713229 275426458 550852916 688566145 1101705832 1377132290 2754264580 3442830725 5508529160 6885661450 13771322900 27542645800 1565661700501 3131323401002 6262646802004 7828308502505 12525293604008 15656617005010 31313234010020 39141542512525 62626468020040 78283085025050 156566170050100 313132340100200