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203011120000 = 275413195203
BaseRepresentation
bin1011110100010001100…
…1111101101110000000
3201102000012020102121101
42331010121331232000
511311231321320000
6233132332504144
720444543022343
oct2750431755600
9642005212541
10203011120000
1179107537227
123341801b054
13161b40c7ca0
149b7bd8045a
1554329b2e6a
hex2f4467db80

203011120000 has 160 divisors (see below), whose sum is σ = 544261936680. Its totient is φ = 74957568000.

The previous prime is 203011119977. The next prime is 203011120003. The reversal of 203011120000 is 21110302.

203011120000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203011120003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 942399 + ... + 1137601.

Almost surely, 2203011120000 is an apocalyptic number.

203011120000 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 203011120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272130968340).

203011120000 is an abundant number, since it is smaller than the sum of its proper divisors (341250816680).

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

203011120000 is an equidigital number, since it uses as much as digits as its factorization.

203011120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195250 (or 195223 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 203011120000 its reverse (21110302), we get a palindrome (203032230302).

The spelling of 203011120000 in words is "two hundred three billion, eleven million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 125 128 130 160 200 208 250 260 320 325 400 416 500 520 625 640 650 800 832 1000 1040 1250 1300 1600 1625 1664 2000 2080 2500 2600 3200 3250 4000 4160 5000 5200 6500 8000 8125 8320 10000 10400 13000 16000 16250 20000 20800 26000 32500 40000 41600 52000 65000 80000 104000 130000 195203 208000 260000 390406 520000 780812 976015 1040000 1561624 1952030 2537639 3123248 3904060 4880075 5075278 6246496 7808120 9760150 10150556 12492992 12688195 15616240 19520300 20301112 24400375 24985984 25376390 31232480 39040600 40602224 48800750 50752780 62464960 63440975 78081200 81204448 97601500 101505560 122001875 124929920 126881950 156162400 162408896 195203000 203011120 244003750 253763900 312324800 317204875 324817792 390406000 406022240 488007500 507527800 624649600 634409750 780812000 812044480 976015000 1015055600 1268819500 1561624000 1586024375 1624088960 1952030000 2030111200 2537639000 3123248000 3172048750 3904060000 4060222400 5075278000 6344097500 7808120000 8120444800 10150556000 12688195000 15616240000 20301112000 25376390000 40602224000 50752780000 101505560000 203011120000