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313503404305312 = 25131091690755227
BaseRepresentation
bin100011101001000010011001…
…1000011001010101110100000
31112010000122002021110110100001
41013102010303003022232200
5312042414433000232222
63030433250430105344
7123014605420316404
oct10722046303125640
91463018067413301
10313503404305312
119098a057793681
122b1b308794b254
13105c13235b0630
14575b907c4d104
152639e22931e27
hex11d21330caba0

313503404305312 has 48 divisors (see below), whose sum is σ = 665296753316832. Its totient is φ = 144561253697280.

The previous prime is 313503404305307. The next prime is 313503404305327. The reversal of 313503404305312 is 213503404305313.

It is a happy number.

It is a super-2 number, since 2×3135034043053122 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 344923758 + ... + 345831469.

It is an arithmetic number, because the mean of its divisors is an integer number (13860349027434).

Almost surely, 2313503404305312 is an apocalyptic number.

313503404305312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

313503404305312 is an abundant number, since it is smaller than the sum of its proper divisors (351793349011520).

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

313503404305312 is a wasteful number, since it uses less digits than its factorization.

313503404305312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690756341 (or 690756333 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 37.

Subtracting from 313503404305312 its reverse (213503404305313), we obtain a palindrome (99999999999999).

The spelling of 313503404305312 in words is "three hundred thirteen trillion, five hundred three billion, four hundred four million, three hundred five thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 1091 2182 4364 8728 14183 17456 28366 34912 56732 113464 226928 453856 690755227 1381510454 2763020908 5526041816 8979817951 11052083632 17959635902 22104167264 35919271804 71838543608 143677087216 287354174432 753613952657 1507227905314 3014455810628 6028911621256 9796981384541 12057823242512 19593962769082 24115646485024 39187925538164 78375851076328 156751702152656 313503404305312