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13222202100 = 22352672812341
BaseRepresentation
bin11000101000001101…
…01100101011110100
31021010110220110102220
430110012230223310
5204034340431400
610024005402340
7645441602112
oct142406545364
937113813386
1013222202100
115675652158
1226901093b0
131329430833
148d608aab2
15525be47a0
hex3141acaf4

13222202100 has 144 divisors (see below), whose sum is σ = 38982046656. Its totient is φ = 3459456000.

The previous prime is 13222202089. The next prime is 13222202117. The reversal of 13222202100 is 120222231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13222202100.

It is a congruent number.

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, 5646930 + ... + 5649270.

Almost surely, 213222202100 is an apocalyptic number.

13222202100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13222202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19491023328).

13222202100 is an abundant number, since it is smaller than the sum of its proper divisors (25759844556).

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

13222202100 is a wasteful number, since it uses less digits than its factorization.

13222202100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2706 (or 2699 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 13222202100 its reverse (120222231), we get a palindrome (13342424331).

The spelling of 13222202100 in words is "thirteen billion, two hundred twenty-two million, two hundred two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 67 75 100 134 150 201 268 281 300 335 402 562 670 804 843 1005 1124 1340 1405 1675 1686 2010 2341 2810 3350 3372 4020 4215 4682 5025 5620 6700 7023 7025 8430 9364 10050 11705 14046 14050 16860 18827 20100 21075 23410 28092 28100 35115 37654 42150 46820 56481 58525 70230 75308 84300 94135 112962 117050 140460 156847 175575 188270 225924 234100 282405 313694 351150 376540 470541 470675 564810 627388 657821 702300 784235 941082 941350 1129620 1315642 1412025 1568470 1882164 1882700 1973463 2352705 2631284 2824050 3136940 3289105 3921175 3946926 4705410 5648100 6578210 7842350 7893852 9410820 9867315 11763525 13156420 15684700 16445525 19734630 23527050 32891050 39469260 44074007 47054100 49336575 65782100 88148014 98673150 132222021 176296028 197346300 220370035 264444042 440740070 528888084 661110105 881480140 1101850175 1322220210 2203700350 2644440420 3305550525 4407400700 6611101050 13222202100