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134334323310 = 235114127136637
BaseRepresentation
bin111110100011011110…
…0110001101001101110
3110211201222201200102210
41331012330301221232
54200104041321220
6141413510431250
712463633623315
oct1750674615156
9424658650383
10134334323310
1151a75250410
1222050362526
13c88ab50a95
146704da927c
1537636276e0
hex1f46f31a6e

134334323310 has 128 divisors (see below), whose sum is σ = 361629370368. Its totient is φ = 31653504000.

The previous prime is 134334323303. The next prime is 134334323311. The reversal of 134334323310 is 13323433431.

It is a super-3 number, since 3×1343343233103 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134334323311) 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, 3648312 + ... + 3684948.

It is an arithmetic number, because the mean of its divisors is an integer number (2825229456).

Almost surely, 2134334323310 is an apocalyptic number.

134334323310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 134334323310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180814685184).

134334323310 is an abundant number, since it is smaller than the sum of its proper divisors (227295047058).

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

134334323310 is a wasteful number, since it uses less digits than its factorization.

134334323310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36970.

The product of its (nonzero) digits is 23328, while the sum is 30.

Adding to 134334323310 its reverse (13323433431), we get a palindrome (147657756741).

The spelling of 134334323310 in words is "one hundred thirty-four billion, three hundred thirty-four million, three hundred twenty-three thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 41 55 66 82 110 123 165 205 246 271 330 410 451 542 615 813 902 1230 1353 1355 1626 2255 2706 2710 2981 4065 4510 5962 6765 8130 8943 11111 13530 14905 17886 22222 29810 33333 36637 44715 55555 66666 73274 89430 109911 111110 122221 166665 183185 219822 244442 333330 366370 366663 403007 549555 611105 733326 806014 1099110 1209021 1222210 1502117 1833315 2015035 2418042 3004234 3666630 4030070 4506351 6045105 7510585 9012702 9928627 12090210 15021170 16523287 19857254 22531755 29785881 33046574 45063510 49569861 49643135 59571762 82616435 99139722 99286270 109214897 148929405 165232870 218429794 247849305 297858810 327644691 407073707 495698610 546074485 655289382 814147414 1092148970 1221221121 1638223455 2035368535 2442442242 3276446910 4070737070 4477810777 6106105605 8955621554 12212211210 13433432331 22389053885 26866864662 44778107770 67167161655 134334323310