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10122032322 = 236172511627
BaseRepresentation
bin10010110110101000…
…11111010011000010
3222010102101112000000
421123110133103002
5131212220013242
64352222140430
7505555566213
oct113324372302
928112345000
1010122032322
114324694776
121b65a21716
13c5407644c
146c044b40a
153e3965a4c
hex25b51f4c2

10122032322 has 112 divisors (see below), whose sum is σ = 24214129632. Its totient is φ = 3160944000.

The previous prime is 10122032293. The next prime is 10122032329. The reversal of 10122032322 is 22323022101.

10122032322 is a `hidden beast` number, since 101 + 220 + 323 + 22 = 666.

10122032322 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×101220323222 (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 junction number, because it is equal to n+sod(n) for n = 10122032295 and 10122032304.

It is not an unprimeable number, because it can be changed into a prime (10122032329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 6220473 + ... + 6222099.

It is an arithmetic number, because the mean of its divisors is an integer number (216197586).

Almost surely, 210122032322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10122032322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12107064816).

10122032322 is an abundant number, since it is smaller than the sum of its proper divisors (14092097310).

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

10122032322 is a wasteful number, since it uses less digits than its factorization.

10122032322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1915 (or 1900 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10122032322 its reverse (22323022101), we get a palindrome (32445054423).

The spelling of 10122032322 in words is "ten billion, one hundred twenty-two million, thirty-two thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 102 153 162 243 251 306 459 486 502 729 753 918 1377 1458 1506 1627 2259 2754 3254 4131 4267 4518 4881 6777 8262 8534 9762 12393 12801 13554 14643 20331 24786 25602 27659 29286 38403 40662 43929 55318 60993 76806 82977 87858 115209 121986 131787 165954 182979 230418 248931 263574 345627 365958 395361 408377 497862 691254 746793 790722 816754 1036881 1186083 1225131 1493586 2073762 2240379 2372166 2450262 3110643 3675393 4480758 6221286 6721137 6942409 7350786 11026179 13442274 13884818 20163411 20827227 22052358 33078537 40326822 41654454 62481681 66157074 99235611 124963362 187445043 198471222 297706833 374890086 562335129 595413666 1124670258 1687005387 3374010774 5061016161 10122032322