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10201431231222 = 23711237759123733
BaseRepresentation
bin1001010001110011010010…
…1011110100101011110110
31100010020200021122000110120
42110130310223310223312
52314120012343344342
633410250043232410
72102012655511140
oct224346453645366
940106607560416
1010201431231222
113283447a85440
121189132818706
1358ccb5b3c67a
14273a75331c90
1512a568d7aaec
hex94734af4af6

10201431231222 has 128 divisors (see below), whose sum is σ = 26546941624320. Its totient is φ = 2534169939840.

The previous prime is 10201431231157. The next prime is 10201431231253. The reversal of 10201431231222 is 22213213410201.

It is a super-2 number, since 2×102014312312222 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10201431231192 and 10201431231201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 82385268 + ... + 82509000.

It is an arithmetic number, because the mean of its divisors is an integer number (207397981440).

Almost surely, 210201431231222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10201431231222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13273470812160).

10201431231222 is an abundant number, since it is smaller than the sum of its proper divisors (16345510393098).

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

10201431231222 is a wasteful number, since it uses less digits than its factorization.

10201431231222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131538.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 10201431231222 its reverse (22213213410201), we get a palindrome (32414644641423).

The spelling of 10201431231222 in words is "ten trillion, two hundred one billion, four hundred thirty-one million, two hundred thirty-one thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 11 14 21 22 23 33 42 46 66 69 77 138 154 161 231 253 322 462 483 506 759 966 1518 1771 3542 5313 7759 10626 15518 23277 46554 54313 85349 108626 123733 162939 170698 178457 247466 256047 325878 356914 371199 512094 535371 597443 742398 866131 1070742 1194886 1249199 1361063 1732262 1792329 1963027 2498398 2598393 2722126 2845859 3584658 3747597 3926054 4083189 5196786 5691718 5889081 7495194 8166378 8537577 9527441 11778162 13741189 17075154 19054882 19921013 27482378 28582323 31304449 39842026 41223567 57164646 59763039 62608898 82447134 93913347 119526078 187826694 219131143 438262286 657393429 960044347 1314786858 1920088694 2880133041 5760266082 6720310429 10560487817 13440620858 20160931287 21120975634 22081019981 31681463451 40321862574 44162039962 63362926902 66243059943 73923414719 132486119886 147846829438 154567139867 221770244157 242891219791 309134279734 443540488314 463701419601 485782439582 728673659373 927402839202 1457347318746 1700238538537 3400477077074 5100715615611 10201431231222