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1120100211314 = 27226967762761
BaseRepresentation
bin10000010011001011001…
…011001101101001110010
310222002011201011022001122
4100103023023031221302
5121322431123230224
62214322242502242
7143632061463500
oct20231313155162
93862151138048
101120100211314
113a2039406287
121610bb364982
138181816b936
143c2dabd7670
151e20a41415e
hex104cb2cda72

1120100211314 has 48 divisors (see below), whose sum is σ = 1964655204120. Its totient is φ = 477544354560.

The previous prime is 1120100211313. The next prime is 1120100211343. The reversal of 1120100211314 is 4131120010211.

It can be written as a sum of positive squares in 4 ways, for example, as 842494515625 + 277605695689 = 917875^2 + 526883^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1120100211292 and 1120100211301.

It is not an unprimeable number, because it can be changed into a prime (1120100211313) 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 23 ways as a sum of consecutive naturals, for example, 17815694 + ... + 17878454.

Almost surely, 21120100211314 is an apocalyptic number.

1120100211314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1120100211314 is a deficient number, since it is larger than the sum of its proper divisors (844554992806).

1120100211314 is a wasteful number, since it uses less digits than its factorization.

1120100211314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63723 (or 63716 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 1120100211314 its reverse (4131120010211), we get a palindrome (5251220221525).

The spelling of 1120100211314 in words is "one trillion, one hundred twenty billion, one hundred million, two hundred eleven thousand, three hundred fourteen".

Divisors: 1 2 7 14 49 98 269 538 677 1354 1883 3766 4739 9478 13181 26362 33173 62761 66346 125522 182113 364226 439327 878654 1274791 2549582 3075289 6150578 8923537 16882709 17847074 33765418 42489197 84978394 118178963 236357926 297424379 594848758 827252741 1654505482 2081970653 4163941306 11429593993 22859187986 80007157951 160014315902 560050105657 1120100211314