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201044323220 = 225132178939313
BaseRepresentation
bin1011101100111100101…
…1001110101110010100
3201012221010100210122012
42323033023032232110
511243214321320340
6232205233323352
720345031360056
oct2731713165624
9635833323565
10201044323220
1178298308744
1232b69406558
1315c5c7a7900
149a32a898d6
155369ead565
hex2ecf2ceb94

201044323220 has 144 divisors (see below), whose sum is σ = 489511194480. Its totient is φ = 69078417408.

The previous prime is 201044323189. The next prime is 201044323231. The reversal of 201044323220 is 22323440102.

201044323220 is digitally balanced in base 3, 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 24 ways, for example, as 174070859524 + 26973463696 = 417218^2 + 164236^2 .

It is a congruent number.

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, 5094284 + ... + 5133596.

It is an arithmetic number, because the mean of its divisors is an integer number (3399383295).

Almost surely, 2201044323220 is an apocalyptic number.

201044323220 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 201044323220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244755597240).

201044323220 is an abundant number, since it is smaller than the sum of its proper divisors (288466871260).

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

201044323220 is a wasteful number, since it uses less digits than its factorization.

201044323220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39454 (or 39439 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 201044323220 its reverse (22323440102), we get a palindrome (223367763322).

The spelling of 201044323220 in words is "two hundred one billion, forty-four million, three hundred twenty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 65 68 85 89 130 169 170 178 221 260 338 340 356 442 445 676 845 884 890 1105 1157 1513 1690 1780 2210 2314 2873 3026 3380 4420 4628 5746 5785 6052 7565 11492 11570 14365 15041 15130 19669 23140 28730 30082 30260 39313 39338 57460 60164 75205 78626 78676 98345 150410 157252 196565 196690 255697 300820 393130 393380 511069 511394 668321 786260 1022138 1022788 1278485 1336642 2044276 2555345 2556970 2673284 3341605 3498857 5110690 5113940 6643897 6683210 6997714 8688173 10221380 13287794 13366420 13995428 17376346 17494285 26575588 33219485 34752692 34988570 43440865 45485141 59480569 66438970 69977140 86881730 90970282 112946249 118961138 132877940 173763460 181940564 225892498 227425705 237922276 297402845 451784996 454851410 564731245 591306833 594805690 773247397 909702820 1129462490 1182613666 1189611380 1546494794 2258924980 2365227332 2956534165 3092989588 3866236985 5913068330 7732473970 10052216161 11826136660 15464947940 20104432322 40208864644 50261080805 100522161610 201044323220