Search a number
-
+
222102020002100 = 225272910940986207
BaseRepresentation
bin110010100000000000101000…
…000000011001000100110100
31002010101202010122120111101112
4302200000220000121010310
5213102404414110031400
62104212132011214152
764532225050503110
oct6240005000310464
91063352118514345
10222102020002100
116484aa35115797
1220ab0a39147358
1396c1190c75114
143cbbb1bb76740
151aa25b3651835
hexca0028019134

222102020002100 has 72 divisors (see below), whose sum is σ = 569806561712640. Its totient is φ = 73523427304320.

The previous prime is 222102020002091. The next prime is 222102020002123. The reversal of 222102020002100 is 1200020201222.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5470472804 + ... + 5470513403.

Almost surely, 2222102020002100 is an apocalyptic number.

222102020002100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222102020002100 is an abundant number, since it is smaller than the sum of its proper divisors (347704541710540).

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

222102020002100 is a wasteful number, since it uses less digits than its factorization.

222102020002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10940986257 (or 10940986250 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 222102020002100 its reverse (1200020201222), we get a palindrome (223302040203322).

The spelling of 222102020002100 in words is "two hundred twenty-two trillion, one hundred two billion, twenty million, two thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 29 35 50 58 70 100 116 140 145 175 203 290 350 406 580 700 725 812 1015 1450 2030 2900 4060 5075 10150 20300 10940986207 21881972414 43763944828 54704931035 76586903449 109409862070 153173806898 218819724140 273524655175 306347613796 317288600003 382934517245 547049310350 634577200006 765869034490 1094098620700 1269154400012 1531738068980 1586443000015 1914672586225 2221020200021 3172886000030 3829345172450 4442040400042 6345772000060 7658690344900 7932215000075 8884080800084 11105101000105 15864430000150 22210202000210 31728860000300 44420404000420 55525505000525 111051010001050 222102020002100