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10213201130121 = 341167677252709
BaseRepresentation
bin1001010010011111001000…
…1110011011001010001001
31100011101001112202211110000
42110213302032123022021
52314313113442130441
633415514013113213
72102610434141163
oct224476216331211
940141045684400
1010213201130121
113288437864710
12118b478488809
1359114040aba2
14274470573933
1512aa072e82b6
hex949f239b289

10213201130121 has 80 divisors (see below), whose sum is σ = 16917167551680. Its totient is φ = 6088402869120.

The previous prime is 10213201130089. The next prime is 10213201130137. The reversal of 10213201130121 is 12103110231201.

10213201130121 is a `hidden beast` number, since 1 + 0 + 21 + 320 + 1 + 1 + 301 + 21 = 666.

It is not a de Polignac number, because 10213201130121 - 25 = 10213201130089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10213201130094 and 10213201130103.

It is not an unprimeable number, because it can be changed into a prime (10213201130141) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 40288515 + ... + 40541223.

It is an arithmetic number, because the mean of its divisors is an integer number (211464594396).

Almost surely, 210213201130121 is an apocalyptic number.

10213201130121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10213201130121 is a deficient number, since it is larger than the sum of its proper divisors (6703966421559).

10213201130121 is a wasteful number, since it uses less digits than its factorization.

10213201130121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253476 (or 253467 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 10213201130121 its reverse (12103110231201), we get a palindrome (22316311361322).

The spelling of 10213201130121 in words is "ten trillion, two hundred thirteen billion, two hundred one million, one hundred thirty thousand, one hundred twenty-one".

Divisors: 1 3 9 11 27 33 67 81 99 201 297 603 677 737 891 1809 2031 2211 5427 6093 6633 7447 18279 19899 22341 45359 54837 59697 67023 136077 201069 252709 408231 498949 603207 758127 1224693 1496847 2274381 2779799 3674079 4490541 6823143 8339397 13471623 16931503 20469429 25018191 40414869 50794509 75054573 152383527 171083993 186246533 225163719 457150581 513251979 558739599 1371451743 1539755937 1676218797 1881923923 4619267811 5028656391 5645771769 11462627531 13857803433 15085969173 16937315307 34387882593 50811945921 103163647779 126088902841 152435837763 309490943337 378266708523 928472830011 1134800125569 3404400376707 10213201130121