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203011212300 = 223521370174257
BaseRepresentation
bin1011110100010001101…
…0010100010000001100
3201102000012102010012220
42331010122110100030
511311231332243200
6233132334455340
720444543555421
oct2750432242014
9642005363186
10203011212300
117910759a606
1233418064550
13161b412acc0
149b7bda5d48
1554329d04a0
hex2f4469440c

203011212300 has 144 divisors (see below), whose sum is σ = 633473017632. Its totient is φ = 49900032000.

The previous prime is 203011212253. The next prime is 203011212311. The reversal of 203011212300 is 3212110302.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 203011212300.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2696772 + ... + 2771028.

It is an arithmetic number, because the mean of its divisors is an integer number (4399118178).

Almost surely, 2203011212300 is an apocalyptic number.

203011212300 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 203011212300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316736508816).

203011212300 is an abundant number, since it is smaller than the sum of its proper divisors (430461805332).

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

203011212300 is a wasteful number, since it uses less digits than its factorization.

203011212300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74988 (or 74981 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 203011212300 its reverse (3212110302), we get a palindrome (206223322602).

The spelling of 203011212300 in words is "two hundred three billion, eleven million, two hundred twelve thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 650 701 780 975 1300 1402 1950 2103 2804 3505 3900 4206 7010 8412 9113 10515 14020 17525 18226 21030 27339 35050 36452 42060 45565 52575 54678 70100 74257 91130 105150 109356 136695 148514 182260 210300 222771 227825 273390 297028 371285 445542 455650 546780 683475 742570 891084 911300 965341 1113855 1366950 1485140 1856425 1930682 2227710 2733900 2896023 3712850 3861364 4455420 4826705 5569275 5792046 7425700 9653410 11138550 11584092 14480115 19306820 22277100 24133525 28960230 48267050 52054157 57920460 72400575 96534100 104108314 144801150 156162471 208216628 260270785 289602300 312324942 520541570 624649884 676704041 780812355 1041083140 1301353925 1353408082 1561624710 2030112123 2602707850 2706816164 3123249420 3383520205 3904061775 4060224246 5205415700 6767040410 7808123550 8120448492 10150560615 13534080820 15616247100 16917601025 20301121230 33835202050 40602242460 50752803075 67670404100 101505606150 203011212300