Search a number
-
+
10133143041021 = 371113101313106739
BaseRepresentation
bin1001001101110100111001…
…1001000011001111111101
31022212201102011100112011220
42103131032121003033331
52312010134104303041
633315033542303553
72064044505461460
oct223351631031775
938781364315156
1010133143041021
113257495092410
121177a55127bb9
13586722247b30
14270637bd72d7
151288bdba2d66
hex9374e6433fd

10133143041021 has 128 divisors (see below), whose sum is σ = 18378763038720. Its totient is φ = 4795524864000.

The previous prime is 10133143041017. The next prime is 10133143041023. The reversal of 10133143041021 is 12014034133101.

It is a happy number.

It is not a de Polignac number, because 10133143041021 - 22 = 10133143041017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10133143040982 and 10133143041000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10133143041023) 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, 94880470 + ... + 94987208.

It is an arithmetic number, because the mean of its divisors is an integer number (143584086240).

Almost surely, 210133143041021 is an apocalyptic number.

10133143041021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10133143041021 is a deficient number, since it is larger than the sum of its proper divisors (8245619997699).

10133143041021 is a wasteful number, since it uses less digits than its factorization.

10133143041021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107187.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 10133143041021 its reverse (12014034133101), we get a palindrome (22147177174122).

The spelling of 10133143041021 in words is "ten trillion, one hundred thirty-three billion, one hundred forty-three million, forty-one thousand, twenty-one".

Divisors: 1 3 7 11 13 21 33 39 77 91 101 143 231 273 303 313 429 707 939 1001 1111 1313 2121 2191 3003 3333 3443 3939 4069 6573 7777 9191 10329 12207 14443 23331 24101 27573 28483 31613 43329 44759 72303 85449 94839 101101 106739 134277 221291 303303 313313 320217 347743 410969 663873 747173 939939 1043229 1174129 1232907 1387607 2241519 2434201 2876783 3522387 4162821 4520659 7302603 8218903 8630349 9713249 10780639 13561977 15263677 24656709 29139747 31644613 32341917 33409307 45791031 75464473 94933839 100227921 106845739 118587029 140148307 226393419 233865149 320537217 355761087 367502377 420444921 434320991 701595447 830109203 981038149 1102507131 1302962973 1541631377 2490327609 2572516639 2943114447 3040246937 3374340007 4624894131 4777530901 7717549917 9120740811 10123020021 10791419639 14332592703 23620380049 32374258917 33442716307 37117740077 43866420091 70861140147 100328148921 111353220231 131599260273 259824180539 307064940637 482530621001 779472541617 921194821911 1447591863003 3377714347007 10133143041021