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23144433102 = 23471910310429
BaseRepresentation
bin10101100011100001…
…000000010111001110
32012201222100000120000
4111203201000113032
5334344433324402
614344333305130
71446353302230
oct254341002716
965658300500
1023144433102
1198a747a16a
12459b0351a6
13224ac8c23b
141197b68250
15906d3ec1c
hex5638405ce

23144433102 has 160 divisors (see below), whose sum is σ = 63000537600. Its totient is φ = 6203241792.

The previous prime is 23144433017. The next prime is 23144433119. The reversal of 23144433102 is 20133444132.

It is a super-2 number, since 2×231444331022 (a number of 22 digits) contains 22 as substring.

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 polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2214024 + ... + 2224452.

It is an arithmetic number, because the mean of its divisors is an integer number (393753360).

Almost surely, 223144433102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23144433102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31500268800).

23144433102 is an abundant number, since it is smaller than the sum of its proper divisors (39856104498).

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

23144433102 is a wasteful number, since it uses less digits than its factorization.

23144433102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10572 (or 10563 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 23144433102 its reverse (20133444132), we get a palindrome (43277877234).

The spelling of 23144433102 in words is "twenty-three billion, one hundred forty-four million, four hundred thirty-three thousand, one hundred two".

Divisors: 1 2 3 6 7 9 14 18 19 21 27 38 42 54 57 63 81 103 114 126 133 162 171 189 206 266 309 342 378 399 513 567 618 721 798 927 1026 1134 1197 1442 1539 1854 1957 2163 2394 2781 3078 3591 3914 4326 5562 5871 6489 7182 8343 10429 10773 11742 12978 13699 16686 17613 19467 20858 21546 27398 31287 35226 38934 41097 52839 58401 62574 73003 82194 93861 105678 116802 123291 146006 158517 187722 198151 219009 246582 281583 317034 369873 396302 438018 563166 594453 657027 739746 844749 1074187 1109619 1188906 1314054 1387057 1689498 1783359 1971081 2148374 2219238 2774114 3222561 3566718 3942162 4161171 5350077 5913243 6445122 7519309 8322342 9667683 10700154 11826486 12483513 15038618 16050231 19335366 20409553 22557927 24967026 29003049 32100462 37450539 40819106 45115854 58006098 61228659 67673781 74901078 87009147 112351617 122457318 135347562 142866871 174018294 183685977 203021343 224703234 285733742 367371954 406042686 428600613 551057931 609064029 857201226 1102115862 1218128058 1285801839 1653173793 2571603678 3306347586 3857405517 7714811034 11572216551 23144433102