Search a number
-
+
33020421330 = 23513418923203
BaseRepresentation
bin11110110000001010…
…111010010011010010
310011020020202012111210
4132300022322103102
51020111211440310
623100330120550
72246163643641
oct366012722322
9104206665453
1033020421330
1113005192306
126496580156
133163079760
141853649358
15cd3da3820
hex7b02ba4d2

33020421330 has 128 divisors (see below), whose sum is σ = 88412808960. Its totient is φ = 7840419840.

The previous prime is 33020421319. The next prime is 33020421331. The reversal of 33020421330 is 3312402033.

It is a super-3 number, since 3×330204213303 (a number of 33 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33020421297 and 33020421306.

It is not an unprimeable number, because it can be changed into a prime (33020421331) by changing a digit.

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, 1411509 + ... + 1434711.

It is an arithmetic number, because the mean of its divisors is an integer number (690725070).

Almost surely, 233020421330 is an apocalyptic number.

33020421330 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 33020421330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44206404480).

33020421330 is an abundant number, since it is smaller than the sum of its proper divisors (55392387630).

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

33020421330 is a wasteful number, since it uses less digits than its factorization.

33020421330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23356.

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 33020421330 its reverse (3312402033), we get a palindrome (36332823363).

The spelling of 33020421330 in words is "thirty-three billion, twenty million, four hundred twenty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 41 65 78 82 89 123 130 178 195 205 246 267 390 410 445 533 534 615 890 1066 1157 1230 1335 1599 2314 2665 2670 3198 3471 3649 5330 5785 6942 7298 7995 10947 11570 15990 17355 18245 21894 23203 34710 36490 46406 47437 54735 69609 94874 109470 116015 139218 142311 232030 237185 284622 301639 348045 474370 603278 696090 711555 904917 951323 1423110 1508195 1809834 1902646 2065067 2853969 3016390 4130134 4524585 4756615 5707938 6195201 9049170 9513230 10325335 12367199 12390402 14269845 20650670 24734398 26845871 28539690 30976005 37101597 53691742 61835995 61952010 74203194 80537613 84667747 123671990 134229355 161075226 169335494 185507985 254003241 268458710 371015970 402688065 423338735 508006482 805376130 846677470 1100680711 1270016205 2201361422 2540032410 3302042133 5503403555 6604084266 11006807110 16510210665 33020421330