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2121000110100 = 2232523763693697
BaseRepresentation
bin11110110111010101011…
…101010100100000010100
321111202200010220022121100
4132313111131110200110
5234222302012010400
64302212441150100
7306144234320244
oct36672535244024
97452603808540
102121000110100
117485692a4483
122a309278b330
131250179c6a61
147492a971b24
153a28ab87100
hex1edd5754814

2121000110100 has 108 divisors (see below), whose sum is σ = 6827837038204. Its totient is φ = 550313533440.

The previous prime is 2121000110083. The next prime is 2121000110111. The reversal of 2121000110100 is 10110001212.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 120257755524 + 2000742354576 = 346782^2 + 1414476^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 31813549 + ... + 31880148.

Almost surely, 22121000110100 is an apocalyptic number.

2121000110100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2121000110100 is an abundant number, since it is smaller than the sum of its proper divisors (4706836928104).

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

2121000110100 is a wasteful number, since it uses less digits than its factorization.

2121000110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63693754 (or 63693744 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 2121000110100 its reverse (10110001212), we get a palindrome (2131110111312).

The spelling of 2121000110100 in words is "two trillion, one hundred twenty-one billion, one hundred ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 37 45 50 60 74 75 90 100 111 148 150 180 185 222 225 300 333 370 444 450 555 666 740 900 925 1110 1332 1665 1850 2220 2775 3330 3700 5550 6660 8325 11100 16650 33300 63693697 127387394 191081091 254774788 318468485 382162182 573243273 636936970 764324364 955405455 1146486546 1273873940 1592342425 1910810910 2292973092 2356666789 2866216365 3184684850 3821621820 4713333578 4777027275 5732432730 6369369700 7070000367 9426667156 9554054550 11464865460 11783333945 14140000734 14331081825 19108109100 21210001101 23566667890 28280001468 28662163650 35350001835 42420002202 47133335780 57324327300 58916669725 70700003670 84840004404 106050005505 117833339450 141400007340 176750009175 212100011010 235666678900 353500018350 424200022020 530250027525 707000036700 1060500055050 2121000110100