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334107437103 = 321129594394493
BaseRepresentation
bin1001101110010100101…
…10101110100000101111
31011221101112002100120100
410313022112232200233
520433223000441403
6413253053522143
733065331233436
oct4671226564057
91157345070510
10334107437103
1111976aa35650
1254903aa3353
132567716105b
1412256caa11d
158a56bd12a3
hex4dca5ae82f

334107437103 has 96 divisors (see below), whose sum is σ = 555242688000. Its totient is φ = 191712810240.

The previous prime is 334107437087. The next prime is 334107437117. The reversal of 334107437103 is 301734701433.

It is not a de Polignac number, because 334107437103 - 24 = 334107437087 is a prime.

It is a super-2 number, since 2×3341074371032 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334107437143) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 74359525 + ... + 74364017.

It is an arithmetic number, because the mean of its divisors is an integer number (5783778000).

Almost surely, 2334107437103 is an apocalyptic number.

334107437103 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

334107437103 is a deficient number, since it is larger than the sum of its proper divisors (221135250897).

334107437103 is a wasteful number, since it uses less digits than its factorization.

334107437103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5037 (or 5034 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 36.

The spelling of 334107437103 in words is "three hundred thirty-four billion, one hundred seven million, four hundred thirty-seven thousand, one hundred three".

Divisors: 1 3 9 11 29 33 59 87 99 177 261 319 439 531 649 957 1317 1711 1947 2871 3951 4493 4829 5133 5841 12731 13479 14487 15399 18821 25901 38193 40437 43461 49423 56463 77703 114579 130297 140041 148269 169389 233109 265087 284911 390891 420123 444807 751129 795261 854733 1172673 1260369 1433267 1972427 2253387 2385783 2564199 2915957 4299801 5917281 6760161 7687523 8262419 8747871 12899403 17751843 21696697 23062569 24787257 26243613 57200383 65090091 69187707 74361771 84562753 116373193 171601149 195270273 253688259 349119579 514803447 629204213 761064777 1047358737 1280105123 1887612639 3374822597 3840315369 5662837917 10124467791 11520946107 30373403373 37123048567 111369145701 334107437103