Search a number
-
+
1021110110112 = 25323754961261
BaseRepresentation
bin11101101101111101110…
…01111100011110100000
310121121122220211010112010
432312332321330132200
5113212213142010422
62101031433232520
7133526026504401
oct16667671743640
93547586733463
101021110110112
11364061045094
12145a93862740
13753a0953b61
14375c9d3d9a8
151b864bb3b0c
hexedbee7c7a0

1021110110112 has 96 divisors (see below), whose sum is σ = 2797369948800. Its totient is φ = 325522897920.

The previous prime is 1021110110107. The next prime is 1021110110113. The reversal of 1021110110112 is 2110110111201.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (1021110110113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16637562 + ... + 16698822.

It is an arithmetic number, because the mean of its divisors is an integer number (29139270300).

Almost surely, 21021110110112 is an apocalyptic number.

1021110110112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1021110110112 is an abundant number, since it is smaller than the sum of its proper divisors (1776259838688).

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

1021110110112 is a wasteful number, since it uses less digits than its factorization.

1021110110112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68846 (or 68838 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 1021110110112 its reverse (2110110111201), we get a palindrome (3131220221313).

The spelling of 1021110110112 in words is "one trillion, twenty-one billion, one hundred ten million, one hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 552 736 1104 2208 7549 15098 22647 30196 45294 60392 61261 90588 120784 122522 173627 181176 183783 241568 245044 347254 362352 367566 490088 520881 694508 724704 735132 980176 1041762 1389016 1409003 1470264 1960352 2083524 2778032 2818006 2940528 4167048 4227009 5556064 5636012 5881056 8334096 8454018 11272024 16668192 16908036 22544048 33816072 45088096 67632144 135264288 462459289 924918578 1387377867 1849837156 2774755734 3699674312 5549511468 7399348624 10636563647 11099022936 14798697248 21273127294 22198045872 31909690941 42546254588 44396091744 63819381882 85092509176 127638763764 170185018352 255277527528 340370036704 510555055056 1021110110112