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3522035001330 = 2335174969154423
BaseRepresentation
bin110011010000001001101…
…001010010011111110010
3110110200222200020000222000
4303100021221102133302
5430201111430020310
611254000041154430
7512313211361016
oct63201151223762
913420880200860
103522035001330
111138760a3687a
1248a71648ba16
131c7184b361b1
14c26787ac546
1561939abb4c0
hex33409a527f2

3522035001330 has 128 divisors (see below), whose sum is σ = 9946635148800. Its totient is φ = 883778107392.

The previous prime is 3522035001293. The next prime is 3522035001383. The reversal of 3522035001330 is 331005302253.

3522035001330 is a `hidden beast` number, since 3 + 5 + 2 + 20 + 3 + 500 + 133 + 0 = 666.

It is a super-2 number, since 2×35220350013302 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 3522035001294 and 3522035001303.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22730499 + ... + 22884921.

It is an arithmetic number, because the mean of its divisors is an integer number (77708087100).

Almost surely, 23522035001330 is an apocalyptic number.

3522035001330 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 3522035001330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4973317574400).

3522035001330 is an abundant number, since it is smaller than the sum of its proper divisors (6424600147470).

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

3522035001330 is a wasteful number, since it uses less digits than its factorization.

3522035001330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159425 (or 159419 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 27.

The spelling of 3522035001330 in words is "three trillion, five hundred twenty-two billion, thirty-five million, one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 85 90 102 135 153 170 255 270 306 459 510 765 918 1530 2295 4590 4969 9938 14907 24845 29814 44721 49690 74535 84473 89442 134163 149070 154423 168946 223605 253419 268326 308846 422365 447210 463269 506838 670815 760257 772115 844730 926538 1267095 1341630 1389807 1520514 1544230 2280771 2316345 2534190 2625191 2779614 3801285 4169421 4561542 4632690 5250382 6949035 7602570 7875573 8338842 11403855 13125955 13898070 15751146 20847105 22807710 23626719 26251910 39377865 41694210 47253438 70880157 78755730 118133595 141760314 236267190 354400785 708801570 767327887 1534655774 2301983661 3836639435 4603967322 6905950983 7673278870 11509918305 13044574079 13811901966 20717852949 23019836610 26089148158 34529754915 39133722237 41435705898 65222870395 69059509830 78267444474 103589264745 117401166711 130445740790 195668611185 207178529490 234802333422 352203500133 391337222370 587005833555 704407000266 1174011667110 1761017500665 3522035001330