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10222311132 = 2235113130841
BaseRepresentation
bin10011000010100110…
…00001011011011100
3222101102002012200000
421201103001123130
5131413402424012
64410203334300
7511214132235
oct114123013334
928342065600
1010222311132
114376256720
121b93521390
13c6ba86b17
146cd8b208c
153ec672ddc
hex2614c16dc

10222311132 has 144 divisors (see below), whose sum is σ = 30176799744. Its totient is φ = 2997648000.

The previous prime is 10222311103. The next prime is 10222311167. The reversal of 10222311132 is 23111322201.

10222311132 is a `hidden beast` number, since 1 + 0 + 222 + 311 + 132 = 666.

It is a super-2 number, since 2×102223111322 (a number of 21 digits) contains 22 as substring.

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

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, 316032 + ... + 346872.

Almost surely, 210222311132 is an apocalyptic number.

10222311132 is a gapful number since it is divisible by the number (12) 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 10222311132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15088399872).

10222311132 is an abundant number, since it is smaller than the sum of its proper divisors (19954488612).

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

10222311132 is a wasteful number, since it uses less digits than its factorization.

10222311132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30902 (or 30888 counting only the distinct ones).

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

Adding to 10222311132 its reverse (23111322201), we get a palindrome (33333633333).

The spelling of 10222311132 in words is "ten billion, two hundred twenty-two million, three hundred eleven thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 31 33 36 44 54 62 66 81 93 99 108 124 132 162 186 198 243 279 297 324 341 372 396 486 558 594 682 837 891 972 1023 1116 1188 1364 1674 1782 2046 2511 2673 3069 3348 3564 4092 5022 5346 6138 7533 9207 10044 10692 12276 15066 18414 27621 30132 30841 36828 55242 61682 82863 92523 110484 123364 165726 185046 277569 331452 339251 370092 555138 678502 832707 956071 1017753 1110276 1357004 1665414 1912142 2035506 2498121 2868213 3053259 3330828 3824284 4071012 4996242 5736426 6106518 7494363 8604639 9159777 9992484 10516781 11472852 12213036 14988726 17209278 18319554 21033562 25813917 27479331 29977452 31550343 34418556 36639108 42067124 51627834 54958662 63100686 77441751 82437993 94651029 103255668 109917324 126201372 154883502 164875986 189302058 232325253 283953087 309767004 329751972 378604116 464650506 567906174 851859261 929301012 1135812348 1703718522 2555577783 3407437044 5111155566 10222311132