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1102144200 = 233525713217
BaseRepresentation
bin100000110110001…
…0110001011001000
32211210212201121120
41001230112023020
54224122103300
6301210435240
736212033253
oct10154261310
92753781546
101102144200
1151614a283
12269132b20
13147451941
14a653a09a
1566b5b3a0
hex41b162c8

1102144200 has 96 divisors (see below), whose sum is σ = 3423694560. Its totient is φ = 293299200.

The previous prime is 1102144193. The next prime is 1102144201. The reversal of 1102144200 is 24412011.

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 1102144200.

It is not an unprimeable number, because it can be changed into a prime (1102144201) 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, 340992 + ... + 344208.

It is an arithmetic number, because the mean of its divisors is an integer number (35663485).

Almost surely, 21102144200 is an apocalyptic number.

1102144200 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 1102144200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1711847280).

1102144200 is an abundant number, since it is smaller than the sum of its proper divisors (2321550360).

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

1102144200 is a wasteful number, since it uses less digits than its factorization.

1102144200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3807 (or 3798 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 1102144200 is about 33198.5571975651. The cubic root of 1102144200 is about 1032.9504119399.

Adding to 1102144200 its reverse (24412011), we get a palindrome (1126556211).

The spelling of 1102144200 in words is "one billion, one hundred two million, one hundred forty-four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 571 600 1142 1713 2284 2855 3217 3426 4568 5710 6434 6852 8565 9651 11420 12868 13704 14275 16085 17130 19302 22840 25736 28550 32170 34260 38604 42825 48255 57100 64340 68520 77208 80425 85650 96510 114200 128680 160850 171300 193020 241275 321700 342600 386040 482550 643400 965100 1836907 1930200 3673814 5510721 7347628 9184535 11021442 14695256 18369070 22042884 27553605 36738140 44085768 45922675 55107210 73476280 91845350 110214420 137768025 183690700 220428840 275536050 367381400 551072100 1102144200