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1103022201400 = 235276611191941
BaseRepresentation
bin10000000011010001001…
…111110001101000111000
310220110002111212111122221
4100003101033301220320
5121032442140421100
62202415453453424
7142455630005230
oct20032117615070
93813074774587
101103022201400
113958753056a9
12159933aa1274
1380025c63c22
143b55aa0ccc0
151da5ae7d01a
hex100d13f1a38

1103022201400 has 96 divisors (see below), whose sum is σ = 2935324046880. Its totient is φ = 377606592000.

The previous prime is 1103022201389. The next prime is 1103022201401. The reversal of 1103022201400 is 41022203011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1103022201401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 329430 + ... + 1521370.

It is an arithmetic number, because the mean of its divisors is an integer number (30576292155).

Almost surely, 21103022201400 is an apocalyptic number.

1103022201400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1103022201400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1467662023440).

1103022201400 is an abundant number, since it is smaller than the sum of its proper divisors (1832301845480).

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

1103022201400 is a wasteful number, since it uses less digits than its factorization.

1103022201400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1192625 (or 1192616 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 1103022201400 its reverse (41022203011), we get a palindrome (1144044404411).

The spelling of 1103022201400 in words is "one trillion, one hundred three billion, twenty-two million, two hundred one thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 661 700 1322 1400 2644 3305 4627 5288 6610 9254 13220 16525 18508 23135 26440 33050 37016 46270 66100 92540 115675 132200 185080 231350 462700 925400 1191941 2383882 4767764 5959705 8343587 9535528 11919410 16687174 23838820 29798525 33374348 41717935 47677640 59597050 66748696 83435870 119194100 166871740 208589675 238388200 333743480 417179350 787873001 834358700 1575746002 1668717400 3151492004 3939365005 5515111007 6302984008 7878730010 11030222014 15757460020 19696825025 22060444028 27575555035 31514920040 39393650050 44120888056 55151110070 78787300100 110302220140 137877775175 157574600200 220604440280 275755550350 551511100700 1103022201400