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10122302214 = 23417101151241
BaseRepresentation
bin10010110110101011…
…00001001100000110
3222010102220020020000
421123111201030012
5131212302132324
64352232022130
7505561102113
oct113325411406
928112806200
1010122302214
114324859522
121b65b31946
13c5413c24b
146c04bb90a
153e39ba9c9
hex25b561306

10122302214 has 160 divisors (see below), whose sum is σ = 24515358912. Its totient is φ = 3110400000.

The previous prime is 10122302191. The next prime is 10122302243. The reversal of 10122302214 is 41220322101.

It is a happy number.

It is a super-2 number, since 2×101223022142 (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 79 ways as a sum of consecutive naturals, for example, 42001134 + ... + 42001374.

Almost surely, 210122302214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10122302214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12257679456).

10122302214 is an abundant number, since it is smaller than the sum of its proper divisors (14393056698).

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

10122302214 is a wasteful number, since it uses less digits than its factorization.

10122302214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10122302214 its reverse (41220322101), we get a palindrome (51342624315).

The spelling of 10122302214 in words is "ten billion, one hundred twenty-two million, three hundred two thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 101 102 151 153 162 202 241 302 303 306 453 459 482 606 723 906 909 918 1359 1377 1446 1717 1818 2169 2567 2718 2727 2754 3434 4077 4097 4338 5134 5151 5454 6507 7701 8154 8181 8194 10302 12231 12291 13014 15251 15402 15453 16362 19521 23103 24341 24462 24582 30502 30906 36391 36873 39042 45753 46206 46359 48682 69309 72782 73023 73746 91506 92718 109173 110619 137259 138618 139077 146046 207927 218346 219069 221238 259267 274518 278154 327519 331857 411777 413797 415854 438138 518534 618647 655038 657207 663714 777801 823554 827594 982557 1235331 1237294 1241391 1314414 1555602 1855941 1965114 1971621 2333403 2470662 2482782 2947671 3675491 3711882 3724173 3943242 4666806 5567823 5895342 7000209 7350982 7448346 11026473 11135646 11172519 14000418 16703469 21000627 22052946 22345038 33079419 33406938 33517557 42001254 50110407 62483347 66158838 67035114 99238257 100220814 124966694 187450041 198476514 297714771 374900082 562350123 595429542 1124700246 1687050369 3374100738 5061151107 10122302214