Search a number
-
+
10202212340304 = 2432511579536287
BaseRepresentation
bin1001010001110110001100…
…1111100001001001010000
31100010022200201102110200120
42110131203033201021100
52314123112324342204
633410455345150240
72102041222025115
oct224354317411120
940108621373616
1010202212340304
113283808993236
12118931032b380
135900ab909baa
14273b0ad8090c
1512a5b27206d9
hex947633e1250

10202212340304 has 80 divisors (see below), whose sum is σ = 26477525329920. Its totient is φ = 3385037232000.

The previous prime is 10202212340297. The next prime is 10202212340347. The reversal of 10202212340304 is 40304321220201.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

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, 18755649 + ... + 19291935.

It is an arithmetic number, because the mean of its divisors is an integer number (330969066624).

Almost surely, 210202212340304 is an apocalyptic number.

It is an amenable number.

10202212340304 is an abundant number, since it is smaller than the sum of its proper divisors (16275312989616).

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

10202212340304 is a wasteful number, since it uses less digits than its factorization.

10202212340304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538128 (or 538122 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 10202212340304 its reverse (40304321220201), we get a palindrome (50506533560505).

The spelling of 10202212340304 in words is "ten trillion, two hundred two billion, two hundred twelve million, three hundred forty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 48 251 502 753 1004 1506 1579 2008 3012 3158 4016 4737 6024 6316 9474 12048 12632 18948 25264 37896 75792 396329 536287 792658 1072574 1188987 1585316 1608861 2145148 2377974 3170632 3217722 4290296 4755948 6341264 6435444 8580592 9511896 12870888 19023792 25741776 134608037 269216074 403824111 538432148 807648222 846797173 1076864296 1615296444 1693594346 2153728592 2540391519 3230592888 3387188692 5080783038 6461185776 6774377384 10161566076 13548754768 20323132152 40646264304 212546090423 425092180846 637638271269 850184361692 1275276542538 1700368723384 2550553085076 3400737446768 5101106170152 10202212340304