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210342242102031 = 32132991573676979
BaseRepresentation
bin101111110100111000011110…
…100111110010101100001111
31000120202112002111202110102100
4233310320132213302230033
5210032221402434231111
62023205520402330143
762206503562566054
oct5764703647625417
91016675074673370
10210342242102031
116102670a068096
121b71189b359953
13904a25a97b440
1439d289413d02b
15194b73ee0e756
hexbf4e1e9f2b0f

210342242102031 has 48 divisors (see below), whose sum is σ = 338485965199200. Its totient is φ = 124976334502656.

The previous prime is 210342242102017. The next prime is 210342242102039. The reversal of 210342242102031 is 130201242243012.

210342242102031 is a `hidden beast` number, since 2 + 1 + 0 + 3 + 422 + 4 + 210 + 20 + 3 + 1 = 666.

It is not a de Polignac number, because 210342242102031 - 27 = 210342242101903 is a prime.

It is a super-2 number, since 2×2103422421020312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 210342242101986 and 210342242102004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210342242102039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 310368700 + ... + 311045678.

It is an arithmetic number, because the mean of its divisors is an integer number (7051790941650).

Almost surely, 2210342242102031 is an apocalyptic number.

210342242102031 is a deficient number, since it is larger than the sum of its proper divisors (128143723097169).

210342242102031 is a wasteful number, since it uses less digits than its factorization.

210342242102031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768600 (or 768597 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 210342242102031 its reverse (130201242243012), we get a palindrome (340543484345043).

The spelling of 210342242102031 in words is "two hundred ten trillion, three hundred forty-two billion, two hundred forty-two million, one hundred two thousand, thirty-one".

Divisors: 1 3 9 13 29 39 87 117 261 377 1131 3393 91573 274719 676979 824157 1190449 2030937 2655617 3571347 6092811 7966851 8800727 10714041 19632391 23900553 26402181 34523021 58897173 79206543 103569063 176691519 255221083 310707189 765663249 2296989747 61992997967 185978993901 557936981703 805908973571 1797796941043 2417726920713 5393390823129 7253180762139 16180172469387 23371360233559 70114080700677 210342242102031