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203141141320 = 235131021382621
BaseRepresentation
bin1011110100110000100…
…1111101001101001000
3201102100020220012022211
42331030021331031020
511312013113010240
6233153255354504
720451012132265
oct2751411751510
9642306805284
10203141141320
1179173973167
1233453682a34
1316205020390
149b9134826c
15543e0e7bea
hex2f4c27d348

203141141320 has 64 divisors (see below), whose sum is σ = 492710001840. Its totient is φ = 74932300800.

The previous prime is 203141141299. The next prime is 203141141339. The reversal of 203141141320 is 23141141302.

203141141320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 110932960356 + 92208180964 = 333066^2 + 303658^2 .

It is a super-2 number, since 2×2031411413202 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 203141141291 and 203141141300.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 339610 + ... + 722230.

Almost surely, 2203141141320 is an apocalyptic number.

203141141320 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 203141141320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246355000920).

203141141320 is an abundant number, since it is smaller than the sum of its proper divisors (289568860520).

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

203141141320 is a wasteful number, since it uses less digits than its factorization.

203141141320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383666 (or 383662 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 203141141320 its reverse (23141141302), we get a palindrome (226282282622).

The spelling of 203141141320 in words is "two hundred three billion, one hundred forty-one million, one hundred forty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 1021 2042 4084 5105 8168 10210 13273 20420 26546 40840 53092 66365 106184 132730 265460 382621 530920 765242 1530484 1913105 3060968 3826210 4974073 7652420 9948146 15304840 19896292 24870365 39792584 49740730 99481460 198962920 390656041 781312082 1562624164 1953280205 3125248328 3906560410 5078528533 7813120820 10157057066 15626241640 20314114132 25392642665 40628228264 50785285330 101570570660 203141141320