Search a number
-
+
1120230210141 = 33773972573257
BaseRepresentation
bin10000010011010010111…
…011000111101001011101
310222002111202202220221000
4100103102323013221131
5121323212413211031
62214343205100513
7143635230451020
oct20232273075135
93862452686830
101120230210141
113a20a5827329
121611369b7739
1381839086a13
143c3101971b7
151e216a423e6
hex104d2ec7a5d

1120230210141 has 128 divisors (see below), whose sum is σ = 1950646440960. Its totient is φ = 622231289856.

The previous prime is 1120230210133. The next prime is 1120230210157. The reversal of 1120230210141 is 1410120320211.

1120230210141 is a `hidden beast` number, since 11 + 202 + 302 + 10 + 141 = 666.

It is not a de Polignac number, because 1120230210141 - 23 = 1120230210133 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1120230210131) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 343943785 + ... + 343947041.

It is an arithmetic number, because the mean of its divisors is an integer number (15239425320).

Almost surely, 21120230210141 is an apocalyptic number.

It is an amenable number.

1120230210141 is a deficient number, since it is larger than the sum of its proper divisors (830416230819).

1120230210141 is a wasteful number, since it uses less digits than its factorization.

1120230210141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3700 (or 3694 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 1120230210141 its reverse (1410120320211), we get a palindrome (2530350530352).

The spelling of 1120230210141 in words is "one trillion, one hundred twenty billion, two hundred thirty million, two hundred ten thousand, one hundred forty-one".

Divisors: 1 3 7 9 21 27 63 73 97 189 219 257 291 511 657 679 771 873 1533 1799 1971 2037 2313 2619 3257 4599 5397 6111 6939 7081 9771 13797 16191 18333 18761 21243 22799 24929 29313 48573 49567 56283 63729 68397 74787 87939 131327 148701 168849 174503 191187 205191 224361 237761 315929 393981 446103 506547 523509 615573 673083 713283 837049 947787 1181943 1338309 1570527 1664327 1819817 2139849 2211503 2511147 2843361 3545829 4711581 4992981 5459451 5859343 6419547 6634509 7533441 8530083 12738719 14978943 16378353 17578029 19903527 22600323 23062817 38216157 44936829 49135059 52734087 59710581 61104577 69188451 81193753 114648471 158202261 161439719 183313731 207565353 243581259 343945413 427732039 484319157 549941193 568356271 622696059 730743777 1283196117 1452957471 1649823579 1705068813 2192231331 3849588351 4358872413 5115206439 5927143969 11548765053 15345619317 17781431907 41490007783 53344295721 124470023349 160032887163 373410070047 1120230210141