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1020111210112 = 2761791653791
BaseRepresentation
bin11101101100000110101…
…11011100011010000000
310121112002022012202022211
432312003113130122000
5113203141432210422
62100344351311504
7133462210134451
oct16660327343200
93545068182284
101020111210112
113636992027a5
1214585521b594
1375271a10577
14375333db128
151b80714d577
hexed835dc680

1020111210112 has 64 divisors (see below), whose sum is σ = 2091716121600. Its totient is φ = 495343180800.

The previous prime is 1020111210071. The next prime is 1020111210163. The reversal of 1020111210112 is 2110121110201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×10201112101122 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1020111210092 and 1020111210101.

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 7 ways as a sum of consecutive naturals, for example, 210064 + ... + 1443727.

It is an arithmetic number, because the mean of its divisors is an integer number (32683064400).

Almost surely, 21020111210112 is an apocalyptic number.

It is an amenable number.

1020111210112 is an abundant number, since it is smaller than the sum of its proper divisors (1071604911488).

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

1020111210112 is an equidigital number, since it uses as much as digits as its factorization.

1020111210112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1653945 (or 1653933 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 1020111210112 its reverse (2110121110201), we get a palindrome (3130232320313).

The spelling of 1020111210112 in words is "one trillion, twenty billion, one hundred eleven million, two hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 61 64 79 122 128 158 244 316 488 632 976 1264 1952 2528 3904 4819 5056 7808 9638 10112 19276 38552 77104 154208 308416 616832 1653791 3307582 6615164 13230328 26460656 52921312 100881251 105842624 130649489 201762502 211685248 261298978 403525004 522597956 807050008 1045195912 1614100016 2090391824 3228200032 4180783648 6456400064 7969618829 8361567296 12912800128 15939237658 16723134592 31878475316 63756950632 127513901264 255027802528 510055605056 1020111210112