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10022001102312 = 2333111231342181
BaseRepresentation
bin1001000111010110110111…
…0100001100110111101000
31022111002112111012001101120
42101311231310030313220
52303200024240233222
633152013241015240
72053031346543603
oct221655564146750
938432474161346
1010022001102312
113214341392901
12115a3b7a84520
135790bc2a5164
142690d30b933a
15125a666dd15c
hex91d6dd0cde8

10022001102312 has 32 divisors (see below), whose sum is σ = 25055101954080. Its totient is φ = 3340653807680.

The previous prime is 10022001102301. The next prime is 10022001102343. The reversal of 10022001102312 is 21320110022001.

It is a junction number, because it is equal to n+sod(n) for n = 10022001102291 and 10022001102300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6795862 + ... + 8138042.

It is an arithmetic number, because the mean of its divisors is an integer number (782971936065).

Almost surely, 210022001102312 is an apocalyptic number.

10022001102312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10022001102312 is an abundant number, since it is smaller than the sum of its proper divisors (15033100851768).

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

10022001102312 is a wasteful number, since it uses less digits than its factorization.

10022001102312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1653313 (or 1653309 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 10022001102312 its reverse (21320110022001), we get a palindrome (31342111124313).

The spelling of 10022001102312 in words is "ten trillion, twenty-two billion, one million, one hundred two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 311123 622246 933369 1244492 1342181 1866738 2488984 2684362 3733476 4026543 5368724 7466952 8053086 10737448 16106172 32212344 417583379263 835166758526 1252750137789 1670333517052 2505500275578 3340667034104 5011000551156 10022001102312