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11380228700 = 22521275771553
BaseRepresentation
bin10101001100101000…
…01000001001011100
31002101002220111221212
422212110020021130
5141301314304300
65121125443552
7552004230221
oct124624101134
932332814855
1011380228700
11490a92a295
1222572705b8
1310c4935949
1479d5a9948
15469149935
hex2a650825c

11380228700 has 72 divisors (see below), whose sum is σ = 24948736512. Its totient is φ = 4505518080.

The previous prime is 11380228697. The next prime is 11380228709. The reversal of 11380228700 is 782208311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11380228709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7327124 + ... + 7328676.

Almost surely, 211380228700 is an apocalyptic number.

11380228700 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 11380228700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12474368256).

11380228700 is an abundant number, since it is smaller than the sum of its proper divisors (13568507812).

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

11380228700 is a wasteful number, since it uses less digits than its factorization.

11380228700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2271 (or 2264 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 32.

The spelling of 11380228700 in words is "eleven billion, three hundred eighty million, two hundred twenty-eight thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 50 100 127 254 508 577 635 1154 1270 1553 2308 2540 2885 3106 3175 5770 6212 6350 7765 11540 12700 14425 15530 28850 31060 38825 57700 73279 77650 146558 155300 197231 293116 366395 394462 732790 788924 896081 986155 1465580 1792162 1831975 1972310 3584324 3663950 3944620 4480405 4930775 7327900 8960810 9861550 17921620 19723100 22402025 44804050 89608100 113802287 227604574 455209148 569011435 1138022870 2276045740 2845057175 5690114350 11380228700