Search a number
-
+
102340132400 = 24521123259121
BaseRepresentation
bin101111101001111110…
…0100111111000110000
3100210011021000101102002
41133103330213320300
53134043033214100
6115003040113132
710252040525642
oct1372374477060
9323137011362
10102340132400
113a447378220
1217a016057a8
13985c59677c
144d4bb78892
1529de8d72d5
hex17d3f27e30

102340132400 has 60 divisors (see below), whose sum is σ = 268224194904. Its totient is φ = 37214592000.

The previous prime is 102340132381. The next prime is 102340132409. The reversal of 102340132400 is 4231043201.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (102340132409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11625161 + ... + 11633960.

Almost surely, 2102340132400 is an apocalyptic number.

102340132400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102340132400 is an abundant number, since it is smaller than the sum of its proper divisors (165884062504).

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

102340132400 is a wasteful number, since it uses less digits than its factorization.

102340132400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23259150 (or 23259139 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 102340132400 its reverse (4231043201), we get a palindrome (106571175601).

The spelling of 102340132400 in words is "one hundred two billion, three hundred forty million, one hundred thirty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 880 1100 2200 4400 23259121 46518242 93036484 116295605 186072968 232591210 255850331 372145936 465182420 511700662 581478025 930364840 1023401324 1162956050 1279251655 1860729680 2046802648 2325912100 2558503310 4093605296 4651824200 5117006620 6396258275 9303648400 10234013240 12792516550 20468026480 25585033100 51170066200 102340132400