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129281022 = 234131723157
BaseRepresentation
bin1111011010010…
…10101111111110
3100000021011020000
413231022233332
5231043443042
620454535130
73126604413
oct755125776
9300234200
10129281022
1166a80822
12373674a6
1320a26460
141325410a
15b53a74c
hex7b4abfe

129281022 has 160 divisors (see below), whose sum is σ = 346876992. Its totient is φ = 35582976.

The previous prime is 129281017. The next prime is 129281041. The reversal of 129281022 is 220182921.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 823368 + ... + 823524.

Almost surely, 2129281022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129281022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173438496).

129281022 is an abundant number, since it is smaller than the sum of its proper divisors (217595970).

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

129281022 is a wasteful number, since it uses less digits than its factorization.

129281022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 129281022 is about 11370.1812650459. The cubic root of 129281022 is about 505.6440783647.

The spelling of 129281022 in words is "one hundred twenty-nine million, two hundred eighty-one thousand, twenty-two".

Divisors: 1 2 3 6 9 13 17 18 23 26 27 34 39 46 51 54 69 78 81 102 117 138 153 157 162 207 221 234 299 306 314 351 391 414 442 459 471 598 621 663 702 782 897 918 942 1053 1173 1242 1326 1377 1413 1794 1863 1989 2041 2106 2346 2669 2691 2754 2826 3519 3611 3726 3978 4082 4239 5083 5338 5382 5967 6123 7038 7222 8007 8073 8478 10166 10557 10833 11934 12246 12717 15249 16014 16146 17901 18369 21114 21666 24021 24219 25434 30498 31671 32499 34697 35802 36738 45747 46943 48042 48438 55107 61387 63342 64998 69394 72063 91494 93886 97497 104091 110214 122774 137241 140829 144126 165321 184161 194994 208182 216189 274482 281658 292491 312273 330642 368322 411723 422487 432378 552483 584982 624546 798031 823446 844974 936819 1104966 1267461 1596062 1657449 1873638 2394093 2534922 2810457 3314898 3802383 4788186 4972347 5620914 7182279 7604766 9944694 14364558 21546837 43093674 64640511 129281022