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102314202104241 = 32291459946328393
BaseRepresentation
bin10111010000110111100001…
…101011000000000110110001
3111102021010211122212001110200
4113100313201223000012301
5101402303441214313431
61001334255013145413
730356646210361461
oct2720674153000661
9442233748761420
10102314202104241
112a667233842396
12b58521732b269
13451225995aa9a
141b3a068a89ba1
15bc6661bb1ee6
hex5d0de1ac01b1

102314202104241 has 48 divisors (see below), whose sum is σ = 153009632630400. Its totient is φ = 65803006354176.

The previous prime is 102314202104237. The next prime is 102314202104243. The reversal of 102314202104241 is 142401202413201.

102314202104241 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 1 + 4 + 20 + 210 + 424 + 1 = 666.

It is not a de Polignac number, because 102314202104241 - 22 = 102314202104237 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102314202104243) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3603486741 + ... + 3603515133.

It is an arithmetic number, because the mean of its divisors is an integer number (3187700679800).

Almost surely, 2102314202104241 is an apocalyptic number.

It is an amenable number.

102314202104241 is a deficient number, since it is larger than the sum of its proper divisors (50695430526159).

102314202104241 is a wasteful number, since it uses less digits than its factorization.

102314202104241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39350 (or 39347 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 102314202104241 its reverse (142401202413201), we get a palindrome (244715404517442).

The spelling of 102314202104241 in words is "one hundred two trillion, three hundred fourteen billion, two hundred two million, one hundred four thousand, two hundred forty-one".

Divisors: 1 3 9 29 87 261 1459 4377 9463 13131 28389 28393 42311 85167 85179 126933 255537 274427 380799 823281 823397 2469843 2470191 7410573 13806517 41419551 41425387 124258653 124276161 268682959 372828483 400388993 806048877 1201166979 1201336223 2418146631 3603500937 3604008669 7791805811 10812026007 23375417433 70126252299 392008437181 1176025311543 3528075934629 11368244678249 34104734034747 102314202104241