Search a number
-
+
1102321103200 = 25521913720283
BaseRepresentation
bin10000000010100111011…
…101010011000101100000
310220101021122122000201221
4100002213131103011200
5121030023200300300
62202222130504424
7142432354531162
oct20024735230540
93811248560657
101102321103200
113955455861a9
12159779135114
137cc4392ba15
143b4d186a932
151da1964031a
hex100a7753160

1102321103200 has 72 divisors (see below), whose sum is σ = 2692451843928. Its totient is φ = 440697338880.

The previous prime is 1102321103189. The next prime is 1102321103203. The reversal of 1102321103200 is 23011232011.

It is a super-2 number, since 2×11023211032002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1102321103203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1170259 + ... + 1890541.

It is an arithmetic number, because the mean of its divisors is an integer number (37395164499).

Almost surely, 21102321103200 is an apocalyptic number.

1102321103200 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 1102321103200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1346225921964).

1102321103200 is an abundant number, since it is smaller than the sum of its proper divisors (1590130740728).

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

1102321103200 is a wasteful number, since it uses less digits than its factorization.

1102321103200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722216 (or 722203 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 1102321103200 its reverse (23011232011), we get a palindrome (1125332335211).

The spelling of 1102321103200 in words is "one trillion, one hundred two billion, three hundred twenty-one million, one hundred three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 1913 3826 7652 9565 15304 19130 30608 38260 47825 61216 76520 95650 153040 191300 306080 382600 720283 765200 1440566 1530400 2881132 3601415 5762264 7202830 11524528 14405660 18007075 23049056 28811320 36014150 57622640 72028300 115245280 144056600 288113200 576226400 1377901379 2755802758 5511605516 6889506895 11023211032 13779013790 22046422064 27558027580 34447534475 44092844128 55116055160 68895068950 110232110320 137790137900 220464220640 275580275800 551160551600 1102321103200