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313131053401419 = 311833131907191531
BaseRepresentation
bin100011100110010101000000…
…1001101001100010101001011
31112001201000222111112200211210
41013030222001031030111023
5312020314344132321134
63025550230422024203
7122645654261002131
oct10714520115142513
91461630874480753
10313131053401419
1190856152376430
122b152a90278063
131059519327b5b6
1457478a3bb5751
1526303cd5882e9
hex11cca8134c54b

313131053401419 has 64 divisors (see below), whose sum is σ = 462668450162688. Its totient is φ = 186791946182400.

The previous prime is 313131053401417. The next prime is 313131053401429. The reversal of 313131053401419 is 914104350131313.

It is not a de Polignac number, because 313131053401419 - 21 = 313131053401417 is a prime.

It is a super-2 number, since 2×3131310534014192 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (313131053401417) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1634788684 + ... + 1634980214.

It is an arithmetic number, because the mean of its divisors is an integer number (7229194533792).

Almost surely, 2313131053401419 is an apocalyptic number.

313131053401419 is a deficient number, since it is larger than the sum of its proper divisors (149537396761269).

313131053401419 is a wasteful number, since it uses less digits than its factorization.

313131053401419 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193848.

The product of its (nonzero) digits is 58320, while the sum is 39.

The spelling of 313131053401419 in words is "three hundred thirteen trillion, one hundred thirty-one billion, fifty-three million, four hundred one thousand, four hundred nineteen".

Divisors: 1 3 11 33 83 249 313 913 939 1907 2739 3443 5721 10329 20977 25979 62931 77937 158281 191531 285769 474843 574593 596891 857307 1741091 1790673 2106841 5223273 6320523 6565801 15897073 19697403 47691219 49541953 59949203 148625859 174867803 179847609 365249617 524603409 544961483 659441233 1095748851 1634884449 1978323699 4017745787 4975783849 12053237361 14927351547 30315718211 54733622339 90947154633 114323130121 164200867017 333472900321 342969390363 1000418700963 1257554431331 3772663293993 9488819800043 28466459400129 104377017800473 313131053401419