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11214004300 = 22524122712049
BaseRepresentation
bin10100111000110100…
…00010000001001100
31001221112010102221121
422130122002001030
5140431241114200
65052431010324
7544615315042
oct123432020114
931845112847
1011214004300
114835016454
12220b6699a4
131099376005
1478549a392
15459762e1a
hex29c68204c

11214004300 has 72 divisors (see below), whose sum is σ = 25039803600. Its totient is φ = 4356556800.

The previous prime is 11214004297. The next prime is 11214004301. The reversal of 11214004300 is 340041211.

It is not an unprimeable number, because it can be changed into a prime (11214004301) 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, 924676 + ... + 936724.

It is an arithmetic number, because the mean of its divisors is an integer number (347775050).

Almost surely, 211214004300 is an apocalyptic number.

11214004300 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 11214004300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12519901800).

11214004300 is an abundant number, since it is smaller than the sum of its proper divisors (13825799300).

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

11214004300 is a wasteful number, since it uses less digits than its factorization.

11214004300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12331 (or 12324 counting only the distinct ones).

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

Adding to 11214004300 its reverse (340041211), we get a palindrome (11554045511).

The spelling of 11214004300 in words is "eleven billion, two hundred fourteen million, four thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 205 227 410 454 820 908 1025 1135 2050 2270 4100 4540 5675 9307 11350 12049 18614 22700 24098 37228 46535 48196 60245 93070 120490 186140 232675 240980 301225 465350 494009 602450 930700 988018 1204900 1976036 2470045 2735123 4940090 5470246 9880180 10940492 12350225 13675615 24700450 27351230 49400900 54702460 68378075 112140043 136756150 224280086 273512300 448560172 560700215 1121400430 2242800860 2803501075 5607002150 11214004300