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102443022 = 233111929313
BaseRepresentation
bin1100001101100…
…10100000001110
321010202122102000
412012302200032
5202211134042
614055413130
72352515463
oct606624016
9233678360
10102443022
115290aa60
122a3841a6
13182ba796
14d86966a
158ed874c
hex61b280e

102443022 has 128 divisors (see below), whose sum is σ = 271296000. Its totient is φ = 28304640.

The previous prime is 102443021. The next prime is 102443023. The reversal of 102443022 is 220344201.

It is an interprime number because it is at equal distance from previous prime (102443021) and next prime (102443023).

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 = 102442986 and 102443004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102443021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 327138 + ... + 327450.

It is an arithmetic number, because the mean of its divisors is an integer number (2119500).

Almost surely, 2102443022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102443022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135648000).

102443022 is an abundant number, since it is smaller than the sum of its proper divisors (168852978).

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

102443022 is a wasteful number, since it uses less digits than its factorization.

102443022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 102443022 is about 10121.4140316460. The cubic root of 102443022 is about 467.9083482588.

Adding to 102443022 its reverse (220344201), we get a palindrome (322787223).

The spelling of 102443022 in words is "one hundred two million, four hundred forty-three thousand, twenty-two".

Divisors: 1 2 3 6 9 11 18 19 22 27 29 33 38 54 57 58 66 87 99 114 171 174 198 209 261 297 313 319 342 418 513 522 551 594 626 627 638 783 939 957 1026 1102 1254 1566 1653 1878 1881 1914 2817 2871 3306 3443 3762 4959 5634 5643 5742 5947 6061 6886 8451 8613 9077 9918 10329 11286 11894 12122 14877 16902 17226 17841 18154 18183 20658 27231 29754 30987 35682 36366 53523 54462 54549 61974 65417 81693 92961 99847 107046 109098 130834 160569 163386 163647 172463 185922 196251 199694 245079 299541 321138 327294 344926 392502 490158 517389 588753 599082 898623 1034778 1177506 1552167 1766259 1797246 1897093 2695869 3104334 3532518 3794186 4656501 5391738 5691279 9313002 11382558 17073837 34147674 51221511 102443022