Search a number
-
+
2122013323200 = 26352442086109
BaseRepresentation
bin11110111000010001110…
…110011010111111000000
321111212021202102212200110
4132320101312122333000
5234231340402320300
64302501153551320
7306211316432301
oct36702166327700
97455252385613
102122013323200
11748a39222481
122a3315b75540
131251498ac134
14749c535c7a8
153a2e9ac8550
hex1ee11d9afc0

2122013323200 has 84 divisors (see below), whose sum is σ = 6961972060280. Its totient is φ = 565870218240.

The previous prime is 2122013323181. The next prime is 2122013323217. The reversal of 2122013323200 is 23233102212.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 221038255 + ... + 221047854.

Almost surely, 22122013323200 is an apocalyptic number.

2122013323200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2122013323200 is an abundant number, since it is smaller than the sum of its proper divisors (4839958737080).

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

2122013323200 is a wasteful number, since it uses less digits than its factorization.

2122013323200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442086134 (or 442086119 counting only the distinct ones).

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

Adding to 2122013323200 its reverse (23233102212), we get a palindrome (2145246425412).

The spelling of 2122013323200 in words is "two trillion, one hundred twenty-two billion, thirteen million, three hundred twenty-three thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 150 160 192 200 240 300 320 400 480 600 800 960 1200 1600 2400 4800 442086109 884172218 1326258327 1768344436 2210430545 2652516654 3536688872 4420861090 5305033308 6631291635 7073377744 8841722180 10610066616 11052152725 13262583270 14146755488 17683444360 21220133232 22104305450 26525166540 28293510976 33156458175 35366888720 42440266464 44208610900 53050333080 66312916350 70733777440 84880532928 88417221800 106100666160 132625832700 141467554880 176834443600 212201332320 265251665400 353668887200 424402664640 530503330800 707337774400 1061006661600 2122013323200