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1202222002100 = 2252721714432437
BaseRepresentation
bin10001011111101010000…
…000111110111110110100
311020221010220210111211112
4101133222000332332310
5124144122313031400
62320143153454152
7152600116260200
oct21375200767664
94227126714745
101202222002100
1142394aa84169
12174bb9871358
13894a4a50b52
144228b691b00
1521414d01835
hex117ea03efb4

1202222002100 has 108 divisors (see below), whose sum is σ = 3213266861196. Its totient is φ = 387943879680.

The previous prime is 1202222002043. The next prime is 1202222002147. The reversal of 1202222002100 is 12002222021.

It can be written as a sum of positive squares in 6 ways, for example, as 179684427664 + 1022537574436 = 423892^2 + 1011206^2 .

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 (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7132919 + ... + 7299518.

It is an arithmetic number, because the mean of its divisors is an integer number (29752470937).

Almost surely, 21202222002100 is an apocalyptic number.

1202222002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1202222002100 is an abundant number, since it is smaller than the sum of its proper divisors (2011044859096).

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

1202222002100 is a wasteful number, since it uses less digits than its factorization.

1202222002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14432482 (or 14432468 counting only the distinct ones).

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

Adding to 1202222002100 its reverse (12002222021), we get a palindrome (1214224224121).

The spelling of 1202222002100 in words is "one trillion, two hundred two billion, two hundred twenty-two million, two thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 17 20 25 28 34 35 49 50 68 70 85 98 100 119 140 170 175 196 238 245 340 350 425 476 490 595 700 833 850 980 1190 1225 1666 1700 2380 2450 2975 3332 4165 4900 5950 8330 11900 16660 20825 41650 83300 14432437 28864874 57729748 72162185 101027059 144324370 202054118 245351429 288648740 360810925 404108236 490702858 505135295 707189413 721621850 981405716 1010270590 1226757145 1414378826 1443243700 1717460003 2020541180 2453514290 2525676475 2828757652 3434920006 3535947065 4907028580 5051352950 6133785725 6869840012 7071894130 8587300015 10102705900 12022220021 12267571450 14143788260 17174600030 17679735325 24044440042 24535142900 34349200060 35359470650 42936500075 48088880084 60111100105 70718941300 85873000150 120222200210 171746000300 240444400420 300555500525 601111001050 1202222002100