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2122002032100 = 2235217340886359
BaseRepresentation
bin11110111000010001001…
…011010110010111100100
321111212020222012020012120
4132320101023112113210
5234231330010011400
64302500111545540
7306211121444526
oct36702113262744
97455228166176
102122002032100
11748a32910295
122a331222b2b0
13125147457a02
14749c3a5da16
153a2e8ae7ca0
hex1ee112d65e4

2122002032100 has 72 divisors (see below), whose sum is σ = 6175148723520. Its totient is φ = 562596286080.

The previous prime is 2122002032093. The next prime is 2122002032153. The reversal of 2122002032100 is 12302002212.

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 2122002032100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20391280 + ... + 20495079.

Almost surely, 22122002032100 is an apocalyptic number.

2122002032100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2122002032100 is an abundant number, since it is smaller than the sum of its proper divisors (4053146691420).

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

2122002032100 is a wasteful number, since it uses less digits than its factorization.

2122002032100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40886549 (or 40886542 counting only the distinct ones).

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

Adding to 2122002032100 its reverse (12302002212), we get a palindrome (2134304034312).

The spelling of 2122002032100 in words is "two trillion, one hundred twenty-two billion, two million, thirty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 173 300 346 519 692 865 1038 1730 2076 2595 3460 4325 5190 8650 10380 12975 17300 25950 51900 40886359 81772718 122659077 163545436 204431795 245318154 408863590 490636308 613295385 817727180 1022158975 1226590770 2044317950 2453181540 3066476925 4088635900 6132953850 7073340107 12265907700 14146680214 21220020321 28293360428 35366700535 42440040642 70733401070 84880081284 106100101605 141466802140 176833502675 212200203210 353667005350 424400406420 530500508025 707334010700 1061001016050 2122002032100