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102402430110 = 2325233532397
BaseRepresentation
bin101111101011110101…
…0010001010010011110
3100210022121020102210200
41133113222101102132
53134210010230420
6115013143244330
710253425202631
oct1372752212236
9323277212720
10102402430110
113a479558432
1217a1a4496a6
13986c469516
144d56153c18
1529e50e0b90
hex17d7a9149e

102402430110 has 144 divisors (see below), whose sum is σ = 279313298784. Its totient is φ = 25980438528.

The previous prime is 102402430079. The next prime is 102402430121. The reversal of 102402430110 is 11034204201.

It is a super-2 number, since 2×1024024301102 (a number of 23 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 71 ways as a sum of consecutive naturals, for example, 257940432 + ... + 257940828.

It is an arithmetic number, because the mean of its divisors is an integer number (1939675686).

Almost surely, 2102402430110 is an apocalyptic number.

102402430110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102402430110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139656649392).

102402430110 is an abundant number, since it is smaller than the sum of its proper divisors (176910868674).

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

102402430110 is a wasteful number, since it uses less digits than its factorization.

102402430110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1139 (or 783 counting only the distinct ones).

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

Adding to 102402430110 its reverse (11034204201), we get a palindrome (113436634311).

The spelling of 102402430110 in words is "one hundred two billion, four hundred two million, four hundred thirty thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 90 115 138 207 230 345 353 397 414 690 706 794 1035 1059 1191 1765 1985 2070 2118 2382 3177 3530 3573 3970 5295 5955 6354 7146 8119 9131 10590 11910 15885 16238 17865 18262 24357 27393 31770 35730 40595 45655 48714 54786 73071 81190 82179 91310 121785 124609 136965 140141 146142 164358 243570 249218 273930 280282 365355 373827 410895 420423 623045 700705 730710 747654 821790 840846 1121481 1246090 1261269 1401410 1869135 2102115 2242962 2522538 2866007 3223243 3738270 4204230 5607405 5732014 6306345 6446486 8598021 9669729 11214810 12612690 14330035 16116215 17196042 19339458 25794063 28660070 29009187 32232430 42990105 48348645 49469773 51588126 58018374 85980210 96697290 98939546 128970315 145045935 148409319 247348865 257940630 290091870 296818638 445227957 494697730 742046595 890455914 1137804779 1484093190 2226139785 2275609558 3413414337 4452279570 5689023895 6826828674 10240243011 11378047790 17067071685 20480486022 34134143370 51201215055 102402430110