Search a number
-
+
102123373464 = 23327202625741
BaseRepresentation
bin101111100011100000…
…1110000001110011000
3100202121011010220001100
41133013001300032120
53133122040422324
6114525334151400
710243466231460
oct1370701601630
9322534126040
10102123373464
113a345a89002
1217960ab2560
1398266c2348
144d2b072ba0
1529ca86c4c9
hex17c7070398

102123373464 has 48 divisors (see below), whose sum is σ = 316096157520. Its totient is φ = 29178106560.

The previous prime is 102123373463. The next prime is 102123373511. The reversal of 102123373464 is 464373321201.

102123373464 is a `hidden beast` number, since 1 + 0 + 2 + 123 + 3 + 73 + 464 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102123373463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 101312367 + ... + 101313374.

It is an arithmetic number, because the mean of its divisors is an integer number (6585336615).

Almost surely, 2102123373464 is an apocalyptic number.

102123373464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

102123373464 is an abundant number, since it is smaller than the sum of its proper divisors (213972784056).

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

102123373464 is a wasteful number, since it uses less digits than its factorization.

102123373464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202625760 (or 202625753 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

Adding to 102123373464 its reverse (464373321201), we get a palindrome (566496694665).

The spelling of 102123373464 in words is "one hundred two billion, one hundred twenty-three million, three hundred seventy-three thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 202625741 405251482 607877223 810502964 1215754446 1418380187 1621005928 1823631669 2431508892 2836760374 3647263338 4255140561 4863017784 5673520748 7294526676 8510281122 11347041496 12765421683 14589053352 17020562244 25530843366 34041124488 51061686732 102123373464