Search a number
-
+
1022122002112 = 26193722717861
BaseRepresentation
bin11101101111110110011…
…10000000011011000000
310121201021102212120101121
432313323032000123000
5113221301213031422
62101320101442024
7133563064445011
oct16677316003300
93551242776347
101022122002112
11364530250572
12146116710314
1375502495b13
14376844a5008
151b8c39438c7
hexedfb3806c0

1022122002112 has 56 divisors (see below), whose sum is σ = 2192728040240. Its totient is φ = 471077544960.

The previous prime is 1022122002071. The next prime is 1022122002113. The reversal of 1022122002112 is 2112002212201.

It is a happy number.

1022122002112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (1022122002113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11313939 + ... + 11403922.

Almost surely, 21022122002112 is an apocalyptic number.

It is an amenable number.

1022122002112 is an abundant number, since it is smaller than the sum of its proper divisors (1170606038128).

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

1022122002112 is a wasteful number, since it uses less digits than its factorization.

1022122002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22717929 (or 22717919 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 1022122002112 its reverse (2112002212201), we get a palindrome (3134124214313).

The spelling of 1022122002112 in words is "one trillion, twenty-two billion, one hundred twenty-two million, two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 19 32 37 38 64 74 76 148 152 296 304 592 608 703 1184 1216 1406 2368 2812 5624 11248 22496 44992 22717861 45435722 90871444 181742888 363485776 431639359 726971552 840560857 863278718 1453943104 1681121714 1726557436 3362243428 3453114872 6724486856 6906229744 13448973712 13812459488 15970656283 26897947424 27624918976 31941312566 53795894848 63882625132 127765250264 255530500528 511061001056 1022122002112