Search a number
-
+
10022000200112 = 24171367223712049
BaseRepresentation
bin1001000111010110110111…
…0000110000100110110000
31022111002112102111012210202
42101311231300300212300
52303200024022400422
633152013205414332
72053031336065355
oct221655560604660
938432472435722
1010022000200112
113214340926a8a
12115a3b770a3a8
135790bc04a604
142690d2d2262c
15125a665b0b92
hex91d6dc309b0

10022000200112 has 80 divisors (see below), whose sum is σ = 20585784657600. Its totient is φ = 4710287622144.

The previous prime is 10022000200097. The next prime is 10022000200123. The reversal of 10022000200112 is 21100200022001.

It is a happy number.

It is a super-2 number, since 2×100220002001122 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10022000200093 and 10022000200102.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 831764264 + ... + 831776312.

It is an arithmetic number, because the mean of its divisors is an integer number (257322308220).

Almost surely, 210022000200112 is an apocalyptic number.

It is an amenable number.

10022000200112 is an abundant number, since it is smaller than the sum of its proper divisors (10563784457488).

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

10022000200112 is a wasteful number, since it uses less digits than its factorization.

10022000200112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15678 (or 15672 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10022000200112 its reverse (21100200022001), we get a palindrome (31122200222113).

The spelling of 10022000200112 in words is "ten trillion, twenty-two billion, two hundred thousand, one hundred twelve".

Divisors: 1 2 4 8 16 17 34 68 136 272 1367 2237 2734 4474 5468 8948 10936 12049 17896 21872 23239 24098 35792 38029 46478 48196 76058 92956 96392 152116 185912 192784 204833 304232 371824 409666 608464 819332 1638664 3057979 3277328 6115958 12231916 16470983 24463832 26953613 32941966 48927664 51985643 53907226 65883932 103971286 107814452 131767864 207942572 215628904 263535728 280006711 415885144 431257808 458211421 560013422 831770288 916422842 1120026844 1832845684 2240053688 3665691368 4480107376 7331382736 36845588971 73691177942 147382355884 294764711768 589529423536 626375012507 1252750025014 2505500050028 5011000100056 10022000200112