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65105102020 = 22574335849
BaseRepresentation
bin111100101000100100…
…010000010011000100
320020001021201212011211
4330220210100103010
52031313401231040
645524152141204
74463236144030
oct745044202304
9206037655154
1065105102020
112567a150842
121074b697804
1361a72c790a
1432188b31c0
151a60a1a8ea
hexf289104c4

65105102020 has 96 divisors (see below), whose sum is σ = 159999840000. Its totient is φ = 21798911232.

The previous prime is 65105102017. The next prime is 65105102021. The reversal of 65105102020 is 2020150156.

It is a junction number, because it is equal to n+sod(n) for n = 65105101982 and 65105102000.

It is not an unprimeable number, because it can be changed into a prime (65105102021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11128056 + ... + 11133904.

It is an arithmetic number, because the mean of its divisors is an integer number (1666665000).

Almost surely, 265105102020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65105102020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79999920000).

65105102020 is an abundant number, since it is smaller than the sum of its proper divisors (94894737980).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

65105102020 is an equidigital number, since it uses as much as digits as its factorization.

65105102020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5994 (or 5906 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

Adding to 65105102020 its reverse (2020150156), we get a palindrome (67125252176).

The spelling of 65105102020 in words is "sixty-five billion, one hundred five million, one hundred two thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 43 70 86 140 172 215 301 430 602 860 1204 1505 1849 3010 3698 5849 6020 7396 9245 11698 12943 18490 23396 25886 29245 36980 40943 51772 58490 64715 79507 81886 116980 129430 159014 163772 204715 251507 258860 318028 397535 409430 503014 556549 795070 818860 1006028 1113098 1257535 1590140 1760549 2226196 2515070 2782745 3521098 5030140 5565490 7042196 8802745 10814801 11130980 17605490 21629602 35210980 43259204 54074005 75703607 108148010 151407214 216296020 302814428 378518035 465036443 757036070 930072886 1514072140 1860145772 2325182215 3255255101 4650364430 6510510202 9300728860 13021020404 16276275505 32552551010 65105102020