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2201201322330 = 235412578238461
BaseRepresentation
bin100000000010000001110…
…100101010100101011010
321210102200111122000220010
4200002001310222211122
5242031030014303310
64403115023342350
7315013551345363
oct40020164524532
97712614560803
102201201322330
1177958484125a
122b6735a519b6
1312c75971b85a
1478778326b6a
153c3d1b4e320
hex20081d2a95a

2201201322330 has 128 divisors (see below), whose sum is σ = 5440035396096. Its totient is φ = 569681510400.

The previous prime is 2201201322311. The next prime is 2201201322343. The reversal of 2201201322330 is 332231021022.

It is a happy number.

It is a super-2 number, since 2×22012013223302 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2201201322297 and 2201201322306.

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, 260154300 + ... + 260162760.

It is an arithmetic number, because the mean of its divisors is an integer number (42500276532).

Almost surely, 22201201322330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2201201322330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2720017698048).

2201201322330 is an abundant number, since it is smaller than the sum of its proper divisors (3238834073766).

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

2201201322330 is a wasteful number, since it uses less digits than its factorization.

2201201322330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9592.

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 2201201322330 its reverse (332231021022), we get a palindrome (2533432343352).

The spelling of 2201201322330 in words is "two trillion, two hundred one billion, two hundred one million, three hundred twenty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 41 82 123 205 246 257 410 514 615 771 823 1230 1285 1542 1646 2469 2570 3855 4115 4938 7710 8230 8461 10537 12345 16922 21074 24690 25383 31611 33743 42305 50766 52685 63222 67486 84610 101229 105370 126915 158055 168715 202458 211511 253830 316110 337430 346901 423022 506145 634533 693802 1012290 1040703 1057555 1269066 1734505 2081406 2115110 2174477 3172665 3469010 4348954 5203515 6345330 6523431 6963403 8671951 10407030 10872385 13046862 13926806 17343902 20890209 21744770 26015853 32617155 34817015 41780418 43359755 52031706 65234310 69634030 86719510 89153557 104451045 130079265 178307114 208902090 260158530 267460671 285499523 445767785 534921342 570999046 856498569 891535570 1337303355 1427497615 1712997138 1789594571 2674606710 2854995230 3579189142 4282492845 5368783713 8564985690 8947972855 10737567426 17895945710 26843918565 53687837130 73373377411 146746754822 220120132233 366866887055 440240264466 733733774110 1100600661165 2201201322330