Search a number
-
+
102123132144 = 24311193415023
BaseRepresentation
bin101111100011100000…
…0110101010011110000
3100202121010200122000120
41133013000311103300
53133122010212034
6114525325050240
710243464205065
oct1370700652360
9322533618016
10102123132144
113a345933770
12179609b6980
139826639557
144d2b00cc6c
1529ca820c49
hex17c70354f0

102123132144 has 40 divisors (see below), whose sum is σ = 287801555712. Its totient is φ = 30946403520.

The previous prime is 102123132143. The next prime is 102123132149. The reversal of 102123132144 is 441231321201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102123132143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 96706984 + ... + 96708039.

Almost surely, 2102123132144 is an apocalyptic number.

It is an amenable number.

102123132144 is an abundant number, since it is smaller than the sum of its proper divisors (185678423568).

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

102123132144 is a wasteful number, since it uses less digits than its factorization.

102123132144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193415045 (or 193415039 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 102123132144 its reverse (441231321201), we get a palindrome (543354453345).

The spelling of 102123132144 in words is "one hundred two billion, one hundred twenty-three million, one hundred thirty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 193415023 386830046 580245069 773660092 1160490138 1547320184 2127565253 2320980276 3094640368 4255130506 4641960552 6382695759 8510261012 9283921104 12765391518 17020522024 25530783036 34041044048 51061566072 102123132144