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20124414200 = 2352119419721
BaseRepresentation
bin10010101111100000…
…100011000011111000
31220221111122011110002
4102233200203003320
5312203322223300
613124532012132
71311462461342
oct225740430370
956844564402
1020124414200
118597786280
123a97761048
131b893b8ac7
14d8ca30292
157cbb445d5
hex4af8230f8

20124414200 has 96 divisors (see below), whose sum is σ = 51102331920. Its totient is φ = 7309440000.

The previous prime is 20124414179. The next prime is 20124414203. The reversal of 20124414200 is 241442102.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20124414203) 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, 2065340 + ... + 2075060.

Almost surely, 220124414200 is an apocalyptic number.

20124414200 is a gapful number since it is divisible by the number (20) 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 20124414200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25551165960).

20124414200 is an abundant number, since it is smaller than the sum of its proper divisors (30977917720).

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

20124414200 is a wasteful number, since it uses less digits than its factorization.

20124414200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10689 (or 10680 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 20124414200 its reverse (241442102), we get a palindrome (20365856302).

The spelling of 20124414200 in words is "twenty billion, one hundred twenty-four million, four hundred fourteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 941 1100 1882 2200 3764 4705 7528 9410 9721 10351 18820 19442 20702 23525 37640 38884 41404 47050 48605 51755 77768 82808 94100 97210 103510 106931 188200 194420 207020 213862 243025 258775 388840 414040 427724 486050 517550 534655 855448 972100 1035100 1069310 1944200 2070200 2138620 2673275 4277240 5346550 9147461 10693100 18294922 21386200 36589844 45737305 73179688 91474610 100622071 182949220 201244142 228686525 365898440 402488284 457373050 503110355 804976568 914746100 1006220710 1829492200 2012441420 2515551775 4024882840 5031103550 10062207100 20124414200