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100121020132131 = 32101284483387173
BaseRepresentation
bin10110110000111100111101…
…110101101110101100100011
3111010111110212001001012222200
4112300330331311232230203
5101110340322123212011
6552534543420104243
730042335133244635
oct2660747565565443
9433443761035880
10100121020132131
11299a10a47956a9
12b29015b095083
1343b34aa798a9b
141aa1c51826a55
15b8959e0d1856
hex5b0f3dd6eb23

100121020132131 has 24 divisors (see below), whose sum is σ = 146052015694416. Its totient is φ = 66086078942400.

The previous prime is 100121020132093. The next prime is 100121020132169. The reversal of 100121020132131 is 131231020121001.

100121020132131 is a `hidden beast` number, since 100 + 1 + 2 + 10 + 201 + 321 + 31 = 666.

It is an interprime number because it is at equal distance from previous prime (100121020132093) and next prime (100121020132169).

It is not a de Polignac number, because 100121020132131 - 221 = 100121018034979 is a prime.

It is a super-2 number, since 2×1001210201321312 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100121020142131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 258401461 + ... + 258788633.

It is an arithmetic number, because the mean of its divisors is an integer number (6085500653934).

Almost surely, 2100121020132131 is an apocalyptic number.

100121020132131 is a deficient number, since it is larger than the sum of its proper divisors (45930995562285).

100121020132131 is a wasteful number, since it uses less digits than its factorization.

100121020132131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671763 (or 671760 counting only the distinct ones).

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

Adding to 100121020132131 its reverse (131231020121001), we get a palindrome (231352040253132).

The spelling of 100121020132131 in words is "one hundred trillion, one hundred twenty-one billion, twenty million, one hundred thirty-two thousand, one hundred thirty-one".

Divisors: 1 3 9 101 303 909 284483 387173 853449 1161519 2560347 3484557 28732783 39104473 86198349 117313419 258595047 351940257 110144136559 330432409677 991297229031 11124557792459 33373673377377 100121020132131