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10103322011220 = 22325293752310873
BaseRepresentation
bin1001001100000101110011…
…1010110110011001010100
31022202212102212211020202200
42103001130322312121110
52311013100413324340
633253222502204500
72061640511061564
oct223013472663124
938685385736680
1010103322011220
113245881978339
121172112123730
1358397bc85c79
1426d009458da4
15127c25b2c330
hex9305ceb6654

10103322011220 has 144 divisors (see below), whose sum is σ = 32560380412560. Its totient is φ = 2531009230848.

The previous prime is 10103322011161. The next prime is 10103322011221. The reversal of 10103322011220 is 2211022330101.

10103322011220 is a `hidden beast` number, since 1 + 0 + 10 + 332 + 201 + 122 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 933399447876 + 9169922563344 = 966126^2 + 3028188^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10103322011193 and 10103322011202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10103322011221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25962297 + ... + 26348576.

It is an arithmetic number, because the mean of its divisors is an integer number (226113752865).

Almost surely, 210103322011220 is an apocalyptic number.

10103322011220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10103322011220 is an abundant number, since it is smaller than the sum of its proper divisors (22457058401340).

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

10103322011220 is a wasteful number, since it uses less digits than its factorization.

10103322011220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52310954 (or 52310949 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10103322011220 its reverse (2211022330101), we get a palindrome (12314344341321).

The spelling of 10103322011220 in words is "ten trillion, one hundred three billion, three hundred twenty-two million, eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 37 45 58 60 74 87 90 111 116 145 148 174 180 185 222 261 290 333 348 370 435 444 522 555 580 666 740 870 1044 1073 1110 1305 1332 1665 1740 2146 2220 2610 3219 3330 4292 5220 5365 6438 6660 9657 10730 12876 16095 19314 21460 32190 38628 48285 64380 96570 193140 52310873 104621746 156932619 209243492 261554365 313865238 470797857 523108730 627730476 784663095 941595714 1046217460 1517015317 1569326190 1883191428 1935502301 2353989285 3034030634 3138652380 3871004602 4551045951 4707978570 5806506903 6068061268 7585076585 7742009204 9102091902 9415957140 9677511505 11613013806 13653137853 15170153170 17419520709 18204183804 19355023010 22755229755 23226027612 27306275706 29032534515 30340306340 34839041418 38710046020 45510459510 54612551412 56129566729 58065069030 68265689265 69678082836 87097603545 91020919020 112259133458 116130138060 136531378530 168388700187 174195207090 224518266916 273062757060 280647833645 336777400374 348390414180 505166100561 561295667290 673554800748 841943500935 1010332201122 1122591334580 1683887001870 2020664402244 2525830502805 3367774003740 5051661005610 10103322011220