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22202000002100 = 22521915889735431
BaseRepresentation
bin1010000110001010011100…
…10100101100110000110100
32220121111020112221200020002
411003011032110230300310
510402224144000031400
6115115242532130432
74451020154144612
oct503051624546064
986544215850202
1022202000002100
11708a8a7218216
1225a6a90a66a18
13c50841312569
1456a8226886b2
152877d1b9aed5
hex14314e52cc34

22202000002100 has 72 divisors (see below), whose sum is σ = 50717302843200. Its totient is φ = 8412848524800.

The previous prime is 22202000002073. The next prime is 22202000002103. The reversal of 22202000002100 is 120000020222.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22202000002103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29821385 + ... + 30556815.

Almost surely, 222202000002100 is an apocalyptic number.

22202000002100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22202000002100 is an abundant number, since it is smaller than the sum of its proper divisors (28515302841100).

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

22202000002100 is a wasteful number, since it uses less digits than its factorization.

22202000002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751353 (or 751346 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 22202000002100 its reverse (120000020222), we get a palindrome (22322000022322).

The spelling of 22202000002100 in words is "twenty-two trillion, two hundred two billion, two thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 380 475 950 1900 15889 31778 63556 79445 158890 301891 317780 397225 603782 735431 794450 1207564 1470862 1509455 1588900 2941724 3018910 3677155 6037820 7354310 7547275 13973189 14708620 15094550 18385775 27946378 30189100 36771550 55892756 69865945 73543100 139731890 279463780 349329725 698659450 1397318900 11685263159 23370526318 46741052636 58426315795 116852631590 222020000021 233705263180 292131578975 444040000042 584263157950 888080000084 1110100000105 1168526315900 2220200000210 4440400000420 5550500000525 11101000001050 22202000002100