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102440022240 = 2535297359197
BaseRepresentation
bin101111101100111100…
…1101011000011100000
3100210102012222022111210
41133121321223003200
53134244121202430
6115021005110120
710254362551653
oct1373171530340
9323365868453
10102440022240
113a4987a3a06
1217a2ab58340
13987719c09a
144d5b13b89a
1529e85692b0
hex17d9e6b0e0

102440022240 has 96 divisors (see below), whose sum is σ = 333813221280. Its totient is φ = 26375358464.

The previous prime is 102440022149. The next prime is 102440022263. The reversal of 102440022240 is 42220044201.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3665679 + ... + 3693518.

It is an arithmetic number, because the mean of its divisors is an integer number (3477221055).

Almost surely, 2102440022240 is an apocalyptic number.

102440022240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102440022240 is an abundant number, since it is smaller than the sum of its proper divisors (231373199040).

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

102440022240 is a wasteful number, since it uses less digits than its factorization.

102440022240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7359244 (or 7359236 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

Adding to 102440022240 its reverse (42220044201), we get a palindrome (144660066441).

The spelling of 102440022240 in words is "one hundred two billion, four hundred forty million, twenty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 32 40 48 58 60 80 87 96 116 120 145 160 174 232 240 290 348 435 464 480 580 696 870 928 1160 1392 1740 2320 2784 3480 4640 6960 13920 7359197 14718394 22077591 29436788 36795985 44155182 58873576 73591970 88310364 110387955 117747152 147183940 176620728 213416713 220775910 235494304 294367880 353241456 426833426 441551820 588735760 640250139 706482912 853666852 883103640 1067083565 1177471520 1280500278 1707333704 1766207280 2134167130 2561000556 3201250695 3414667408 3532414560 4268334260 5122001112 6402501390 6829334816 8536668520 10244002224 12805002780 17073337040 20488004448 25610005560 34146674080 51220011120 102440022240