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1022022202100 = 225229794461031
BaseRepresentation
bin11101101111101010100…
…01010011001011110100
310121201000111002012111212
432313311101103023310
5113221100140431400
62101302134420552
7133560443244614
oct16676521231364
93551014065455
101022022202100
11364489986319
121460a9201758
13754b78c2363
1437675126a44
151b8b9ccd335
hexedf54532f4

1022022202100 has 72 divisors (see below), whose sum is σ = 2323305465600. Its totient is φ = 389715580800.

The previous prime is 1022022202073. The next prime is 1022022202111. The reversal of 1022022202100 is 12022202201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2001416 + ... + 2459615.

Almost surely, 21022022202100 is an apocalyptic number.

1022022202100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022022202100 is an abundant number, since it is smaller than the sum of its proper divisors (1301283263500).

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

1022022202100 is a wasteful number, since it uses less digits than its factorization.

1022022202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4461153 (or 4461146 counting only the distinct ones).

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

Adding to 1022022202100 its reverse (12022202201), we get a palindrome (1034044404301).

The spelling of 1022022202100 in words is "one trillion, twenty-two billion, twenty-two million, two hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 79 100 116 145 158 290 316 395 580 725 790 1450 1580 1975 2291 2900 3950 4582 7900 9164 11455 22910 45820 57275 114550 229100 4461031 8922062 17844124 22305155 44610310 89220620 111525775 129369899 223051550 258739798 352421449 446103100 517479596 646849495 704842898 1293698990 1409685796 1762107245 2587397980 3234247475 3524214490 6468494950 7048428980 8810536225 10220222021 12936989900 17621072450 20440444042 35242144900 40880888084 51101110105 102202220210 204404440420 255505550525 511011101050 1022022202100