Search a number
-
+
10312455234500 = 2253197104694977
BaseRepresentation
bin1001011000010000111000…
…1110110010001111000100
31100111212020201212202020222
42112010032032302033010
52322424402020001000
633533250533043512
72113023153123656
oct226041616621704
940455221782228
1010312455234500
113316540153351
1211a6758486598
1359a5ca52c073
142791a85106d6
1512d3b5ce6a85
hex9610e3b23c4

10312455234500 has 48 divisors (see below), whose sum is σ = 22636729363248. Its totient is φ = 4104043059200.

The previous prime is 10312455234479. The next prime is 10312455234509. The reversal of 10312455234500 is 543255421301.

It can be written as a sum of positive squares in 8 ways, for example, as 1199410470976 + 9113044763524 = 1095176^2 + 3018782^2 .

It is not an unprimeable number, because it can be changed into a prime (10312455234509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52248989 + ... + 52445988.

It is an arithmetic number, because the mean of its divisors is an integer number (471598528401).

Almost surely, 210312455234500 is an apocalyptic number.

10312455234500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10312455234500 is an abundant number, since it is smaller than the sum of its proper divisors (12324274128748).

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

10312455234500 is a wasteful number, since it uses less digits than its factorization.

10312455234500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104695193 (or 104695181 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 35.

The spelling of 10312455234500 in words is "ten trillion, three hundred twelve billion, four hundred fifty-five million, two hundred thirty-four thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 197 250 394 500 788 985 1970 3940 4925 9850 19700 24625 49250 98500 104694977 209389954 418779908 523474885 1046949770 2093899540 2617374425 5234748850 10469497700 13086872125 20624910469 26173744250 41249820938 52347488500 82499641876 103124552345 206249104690 412498209380 515622761725 1031245523450 2062491046900 2578113808625 5156227617250 10312455234500