Search a number
-
+
1102300132200 = 2335212714465881
BaseRepresentation
bin10000000010100110001…
…101010011001101101000
310220101020012011120221020
4100002212031103031220
5121030002313212300
62202220101212440
7142432011346221
oct20024615231550
93811205146836
101102300132200
113955347623a3
12159772101120
137cc3c498647
143b4ccb6c248
151da1789b8a0
hex100a6353368

1102300132200 has 96 divisors (see below), whose sum is σ = 3444037186560. Its totient is φ = 291632140800.

The previous prime is 1102300132177. The next prime is 1102300132201. The reversal of 1102300132200 is 22310032011.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1102300132200.

It is not an unprimeable number, because it can be changed into a prime (1102300132201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7156741 + ... + 7309140.

It is an arithmetic number, because the mean of its divisors is an integer number (35875387360).

Almost surely, 21102300132200 is an apocalyptic number.

1102300132200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1102300132200 is an abundant number, since it is smaller than the sum of its proper divisors (2341737054360).

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

1102300132200 is a wasteful number, since it uses less digits than its factorization.

1102300132200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14466027 (or 14466018 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 1102300132200 its reverse (22310032011), we get a palindrome (1124610164211).

The spelling of 1102300132200 in words is "one trillion, one hundred two billion, three hundred million, one hundred thirty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 127 150 200 254 300 381 508 600 635 762 1016 1270 1524 1905 2540 3048 3175 3810 5080 6350 7620 9525 12700 15240 19050 25400 38100 76200 14465881 28931762 43397643 57863524 72329405 86795286 115727048 144658810 173590572 216988215 289317620 347181144 361647025 433976430 578635240 723294050 867952860 1084941075 1446588100 1735905720 1837166887 2169882150 2893176200 3674333774 4339764300 5511500661 7348667548 8679528600 9185834435 11023001322 14697335096 18371668870 22046002644 27557503305 36743337740 44092005288 45929172175 55115006610 73486675480 91858344350 110230013220 137787516525 183716688700 220460026440 275575033050 367433377400 551150066100 1102300132200