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201030144 = 293722671
BaseRepresentation
bin10111111101101…
…11101000000000
3112000021101111220
423332313220000
5402430431034
631540435040
74660504500
oct1376675000
9460241456
10201030144
11a3526a17
12573a8a80
1332858163
141c9ada00
15129ae749
hexbfb7a00

201030144 has 120 divisors (see below), whose sum is σ = 623227968. Its totient is φ = 57415680.

The previous prime is 201030079. The next prime is 201030149. The reversal of 201030144 is 441030102.

It is not an unprimeable number, because it can be changed into a prime (201030149) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 73929 + ... + 76599.

Almost surely, 2201030144 is an apocalyptic number.

201030144 is a gapful number since it is divisible by the number (24) 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 201030144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311613984).

201030144 is an abundant number, since it is smaller than the sum of its proper divisors (422197824).

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

201030144 is an equidigital number, since it uses as much as digits as its factorization.

201030144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2706 (or 2683 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 201030144 is about 14178.5099358148. The cubic root of 201030144 is about 585.8058818027.

Adding to 201030144 its reverse (441030102), we get a palindrome (642060246).

The spelling of 201030144 in words is "two hundred one million, thirty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 256 294 336 384 392 448 512 588 672 768 784 896 1176 1344 1536 1568 1792 2352 2671 2688 3136 3584 4704 5342 5376 6272 8013 9408 10684 10752 12544 16026 18697 18816 21368 25088 32052 37394 37632 42736 56091 64104 74788 75264 85472 112182 128208 130879 149576 170944 224364 256416 261758 299152 341888 392637 448728 512832 523516 598304 683776 785274 897456 1025664 1047032 1196608 1367552 1570548 1794912 2051328 2094064 2393216 3141096 3589824 4102656 4188128 4786432 6282192 7179648 8376256 9572864 12564384 14359296 16752512 25128768 28718592 33505024 50257536 67010048 100515072 201030144