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11221401400 = 2352116183617
BaseRepresentation
bin10100111001101100…
…01111111100111000
31001222001001020212021
422130312033330320
5140440134321100
65053253324224
7545035223656
oct123466177470
931861036767
1011221401400
114839208a60
122212036674
13109aa65bb1
14786463dd6
1545a224a1a
hex29cd8ff38

11221401400 has 96 divisors (see below), whose sum is σ = 28928483280. Its totient is φ = 4013568000.

The previous prime is 11221401383. The next prime is 11221401409. The reversal of 11221401400 is 410412211.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11221401409) 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, 92392 + ... + 176008.

Almost surely, 211221401400 is an apocalyptic number.

11221401400 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 11221401400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14464241640).

11221401400 is an abundant number, since it is smaller than the sum of its proper divisors (17707081880).

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

11221401400 is a wasteful number, since it uses less digits than its factorization.

11221401400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83705 (or 83696 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 11221401400 its reverse (410412211), we get a palindrome (11631813611).

The spelling of 11221401400 in words is "eleven billion, two hundred twenty-one million, four hundred one thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 61 88 100 110 122 200 220 244 275 305 440 488 550 610 671 1100 1220 1342 1525 2200 2440 2684 3050 3355 5368 6100 6710 12200 13420 16775 26840 33550 67100 83617 134200 167234 334468 418085 668936 836170 919787 1672340 1839574 2090425 3344680 3679148 4180850 4598935 5100637 7358296 8361700 9197870 10201274 16723400 18395740 20402548 22994675 25503185 36791480 40805096 45989350 51006370 56107007 91978700 102012740 112214014 127515925 183957400 204025480 224428028 255031850 280535035 448856056 510063700 561070070 1020127400 1122140140 1402675175 2244280280 2805350350 5610700700 11221401400