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10121319999 = 3272138116619
BaseRepresentation
bin10010110110100011…
…10001011000111111
3222010101001022212200
421123101301120333
5131212024214444
64352155002543
7505546541400
oct113321613077
928111038780
1010121319999
11432424857a
121b65739453
13c53b8715b
146c03039a7
153e3874969
hex25b47163f

10121319999 has 36 divisors (see below), whose sum is σ = 17019910440. Its totient is φ = 5779075680.

The previous prime is 10121319979. The next prime is 10121320003. The reversal of 10121319999 is 99991312101.

It is not a de Polignac number, because 10121319999 - 228 = 9852884543 is a prime.

It is a super-2 number, since 2×101213199992 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10121319979) 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 35 ways as a sum of consecutive naturals, for example, 600712 + ... + 617330.

It is an arithmetic number, because the mean of its divisors is an integer number (472775290).

Almost surely, 210121319999 is an apocalyptic number.

10121319999 is a deficient number, since it is larger than the sum of its proper divisors (6898590441).

10121319999 is a wasteful number, since it uses less digits than its factorization.

10121319999 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18020 (or 18010 counting only the distinct ones).

The product of its (nonzero) digits is 39366, while the sum is 45.

The spelling of 10121319999 in words is "ten billion, one hundred twenty-one million, three hundred nineteen thousand, nine hundred ninety-nine".

Divisors: 1 3 7 9 21 49 63 147 441 1381 4143 9667 12429 16619 29001 49857 67669 87003 116333 149571 203007 348999 609021 814331 1046997 2442993 7328979 22950839 68852517 160655873 206557551 481967619 1124591111 1445902857 3373773333 10121319999