Search a number
-
+
201044311320 = 233517149661417
BaseRepresentation
bin1011101100111100101…
…1001011110100011000
3201012221010100012022110
42323033023023310120
511243214320430240
6232205233152320
720345031310266
oct2731713136430
9635833305273
10201044311320
11782982aa806
1232b693bb6a0
1315c5c7a2378
149a32a85436
155369ea9c80
hex2ecf2cbd18

201044311320 has 128 divisors (see below), whose sum is σ = 642898296000. Its totient is φ = 50119458816.

The previous prime is 201044311319. The next prime is 201044311387. The reversal of 201044311320 is 23113440102.

It is a super-2 number, since 2×2010443113202 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26749 + ... + 634668.

Almost surely, 2201044311320 is an apocalyptic number.

201044311320 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 201044311320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321449148000).

201044311320 is an abundant number, since it is smaller than the sum of its proper divisors (441853984680).

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

201044311320 is a wasteful number, since it uses less digits than its factorization.

201044311320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661597 (or 661593 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 201044311320 its reverse (23113440102), we get a palindrome (224157751422).

The spelling of 201044311320 in words is "two hundred one billion, forty-four million, three hundred eleven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 149 170 204 255 298 340 408 447 510 596 680 745 894 1020 1192 1490 1788 2040 2235 2533 2980 3576 4470 5066 5960 7599 8940 10132 12665 15198 17880 20264 25330 30396 37995 50660 60792 75990 101320 151980 303960 661417 1322834 1984251 2645668 3307085 3968502 5291336 6614170 7937004 9921255 11244089 13228340 15874008 19842510 22488178 26456680 33732267 39685020 44976356 56220445 67464534 79370040 89952712 98551133 112440890 134929068 168661335 197102266 224881780 269858136 295653399 337322670 394204532 449763560 492755665 591306798 674645340 788409064 985511330 1182613596 1349290680 1478266995 1675369261 1971022660 2365227192 2956533990 3350738522 3942045320 5026107783 5913067980 6701477044 8376846305 10052215566 11826135960 13402954088 16753692610 20104431132 25130538915 33507385220 40208862264 50261077830 67014770440 100522155660 201044311320