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31340133330 = 23511432339479
BaseRepresentation
bin11101001100000001…
…000111101111010010
32222220010222201200220
4131030001013233102
51003141033231310
622221503453510
72156431511052
oct351401075722
988803881626
1031340133330
1112322763040
1260a78b7296
132c55c124bc
141734415562
15c365e5670
hex74c047bd2

31340133330 has 128 divisors (see below), whose sum is σ = 84331653120. Its totient is φ = 7388290560.

The previous prime is 31340133313. The next prime is 31340133343. The reversal of 31340133330 is 3333104313.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 31340133330.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3301531 + ... + 3311009.

It is an arithmetic number, because the mean of its divisors is an integer number (658841040).

Almost surely, 231340133330 is an apocalyptic number.

31340133330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31340133330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42165826560).

31340133330 is an abundant number, since it is smaller than the sum of its proper divisors (52991519790).

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

31340133330 is a wasteful number, since it uses less digits than its factorization.

31340133330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9776.

The product of its (nonzero) digits is 2916, while the sum is 24.

Adding to 31340133330 its reverse (3333104313), we get a palindrome (34673237643).

The spelling of 31340133330 in words is "thirty-one billion, three hundred forty million, one hundred thirty-three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 43 55 66 86 110 129 165 215 233 258 330 430 466 473 645 699 946 1165 1290 1398 1419 2330 2365 2563 2838 3495 4730 5126 6990 7095 7689 9479 10019 12815 14190 15378 18958 20038 25630 28437 30057 38445 47395 50095 56874 60114 76890 94790 100190 104269 110209 142185 150285 208538 220418 284370 300570 312807 330627 407597 521345 551045 625614 661254 815194 1042690 1102090 1222791 1564035 1653135 2037985 2208607 2445582 3128070 3306270 4075970 4417214 4483567 6113955 6625821 8967134 11043035 12227910 13251642 13450701 22086070 22417835 24294677 26901402 33129105 44835670 48589354 66258210 67253505 72884031 94970101 121473385 134507010 145768062 189940202 242946770 284910303 364420155 474850505 569820606 728840310 949701010 1044671111 1424551515 2089342222 2849103030 3134013333 5223355555 6268026666 10446711110 15670066665 31340133330