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214121433300 = 223522937365983
BaseRepresentation
bin1100011101101010100…
…0011100100011010100
3202110200111020211020120
43013122220130203110
512002010041331200
6242211021231540
721320062103325
oct3073250344324
9673614224216
10214121433300
1182898a70035
12355b8a025b0
1317264b37478
14a51376844c
1558830929a0
hex31daa1c8d4

214121433300 has 144 divisors (see below), whose sum is σ = 642615536640. Its totient is φ = 54981480960.

The previous prime is 214121433247. The next prime is 214121433307. The reversal of 214121433300 is 3334121412.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214121433307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3212109 + ... + 3278091.

Almost surely, 2214121433300 is an apocalyptic number.

214121433300 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 214121433300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321307768320).

214121433300 is an abundant number, since it is smaller than the sum of its proper divisors (428494103340).

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

214121433300 is a wasteful number, since it uses less digits than its factorization.

214121433300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66402 (or 66395 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 214121433300 its reverse (3334121412), we get a palindrome (217455554712).

The spelling of 214121433300 in words is "two hundred fourteen billion, one hundred twenty-one million, four hundred thirty-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 29 30 50 58 60 75 87 100 116 145 150 174 290 300 348 373 435 580 725 746 870 1119 1450 1492 1740 1865 2175 2238 2900 3730 4350 4476 5595 7460 8700 9325 10817 11190 18650 21634 22380 27975 32451 37300 43268 54085 55950 64902 65983 108170 111900 129804 131966 162255 197949 216340 263932 270425 324510 329915 395898 540850 649020 659830 791796 811275 989745 1081700 1319660 1622550 1649575 1913507 1979490 3245100 3299150 3827014 3958980 4948725 5740521 6598300 7654028 9567535 9897450 11481042 19135070 19794900 22962084 24611659 28702605 38270140 47837675 49223318 57405210 73834977 95675350 98446636 114810420 123058295 143513025 147669954 191350700 246116590 287026050 295339908 369174885 492233180 574052100 615291475 713738111 738349770 1230582950 1427476222 1476699540 1845874425 2141214333 2461165900 2854952444 3568690555 3691748850 4282428666 7137381110 7383497700 8564857332 10706071665 14274762220 17843452775 21412143330 35686905550 42824286660 53530358325 71373811100 107060716650 214121433300