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34531221330 = 23252971186343
BaseRepresentation
bin100000001010001110…
…001001111101010010
310022010112120210111100
4200022032021331102
51031204443040310
623510255525230
72331500352444
oct401216117522
9108115523440
1034531221330
111370aa79751
126838529816
133344080758
141958160494
15d71832ec0
hex80a389f52

34531221330 has 96 divisors (see below), whose sum is σ = 94185711360. Its totient is φ = 8765527680.

The previous prime is 34531221311. The next prime is 34531221343. The reversal of 34531221330 is 3312213543.

34531221330 is a `hidden beast` number, since 345 + 312 + 2 + 1 + 3 + 3 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 34531221294 and 34531221303.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 92139 + ... + 278481.

It is an arithmetic number, because the mean of its divisors is an integer number (981101160).

Almost surely, 234531221330 is an apocalyptic number.

34531221330 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 34531221330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47092855680).

34531221330 is an abundant number, since it is smaller than the sum of its proper divisors (59654490030).

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

34531221330 is a wasteful number, since it uses less digits than its factorization.

34531221330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186456 (or 186453 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 34531221330 its reverse (3312213543), we get a palindrome (37843434873).

The spelling of 34531221330 in words is "thirty-four billion, five hundred thirty-one million, two hundred twenty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 71 87 90 142 145 174 213 261 290 355 426 435 522 639 710 870 1065 1278 1305 2059 2130 2610 3195 4118 6177 6390 10295 12354 18531 20590 30885 37062 61770 92655 185310 186343 372686 559029 931715 1118058 1677087 1863430 2795145 3354174 5403947 5590290 8385435 10807894 13230353 16211841 16770870 26460706 27019735 32423682 39691059 48635523 54039470 66151765 79382118 81059205 97271046 119073177 132303530 162118410 198455295 238146354 243177615 383680237 396910590 486355230 595365885 767360474 1151040711 1190731770 1918401185 2302081422 3453122133 3836802370 5755203555 6906244266 11510407110 17265610665 34531221330