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102323434400 = 25521111627663
BaseRepresentation
bin101111101001011110…
…0111011001110100000
3100210010002121001001122
41133102330323032200
53134024244400100
6115001242151412
710251445561505
oct1372274731640
9323102531048
10102323434400
113a438a02820
12179b7ab2568
139858c9b2b5
144d4986d4ac
1529dd1d9985
hex17d2f3b3a0

102323434400 has 72 divisors (see below), whose sum is σ = 272505933504. Its totient is φ = 37208518400.

The previous prime is 102323434397. The next prime is 102323434417. The reversal of 102323434400 is 4434323201.

It is a super-2 number, since 2×1023234344002 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 102323434400.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5805032 + ... + 5822631.

It is an arithmetic number, because the mean of its divisors is an integer number (3784804632).

Almost surely, 2102323434400 is an apocalyptic number.

102323434400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102323434400 is an abundant number, since it is smaller than the sum of its proper divisors (170182499104).

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

102323434400 is a wasteful number, since it uses less digits than its factorization.

102323434400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11627694 (or 11627681 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 102323434400 its reverse (4434323201), we get a palindrome (106757757601).

The spelling of 102323434400 in words is "one hundred two billion, three hundred twenty-three million, four hundred thirty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 160 176 200 220 275 352 400 440 550 800 880 1100 1760 2200 4400 8800 11627663 23255326 46510652 58138315 93021304 116276630 127904293 186042608 232553260 255808586 290691575 372085216 465106520 511617172 581383150 639521465 930213040 1023234344 1162766300 1279042930 1860426080 2046468688 2325532600 2558085860 3197607325 4092937376 4651065200 5116171720 6395214650 9302130400 10232343440 12790429300 20464686880 25580858600 51161717200 102323434400