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4122314010 = 2325791633557
BaseRepresentation
bin1111010110110101…
…1000010100011010
3101122021212020201200
43311231120110122
531420303022020
61521015255030
7204104043123
oct36555302432
911567766650
104122314010
111825a36591
1297067a476
13509078979
142b16b304a
15191d86590
hexf5b5851a

4122314010 has 96 divisors (see below), whose sum is σ = 10923344640. Its totient is φ = 1078406784.

The previous prime is 4122313997. The next prime is 4122314017. The reversal of 4122314010 is 104132214.

4122314010 is a `hidden beast` number, since 41 + 223 + 1 + 401 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (4122314017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1157152 + ... + 1160708.

It is an arithmetic number, because the mean of its divisors is an integer number (113784840).

Almost surely, 24122314010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4122314010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5461672320).

4122314010 is an abundant number, since it is smaller than the sum of its proper divisors (6801030630).

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

4122314010 is a wasteful number, since it uses less digits than its factorization.

4122314010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3812 (or 3809 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 4122314010 is about 64205.2490844791. The cubic root of 4122314010 is about 1603.4189922390.

Adding to 4122314010 its reverse (104132214), we get a palindrome (4226446224).

The spelling of 4122314010 in words is "four billion, one hundred twenty-two million, three hundred fourteen thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 79 90 158 163 237 326 395 474 489 711 790 815 978 1185 1422 1467 1630 2370 2445 2934 3555 3557 4890 7110 7114 7335 10671 12877 14670 17785 21342 25754 32013 35570 38631 53355 64026 64385 77262 106710 115893 128770 160065 193155 231786 281003 320130 386310 562006 579465 579791 843009 1158930 1159582 1405015 1686018 1739373 2529027 2810030 2898955 3478746 4215045 5058054 5218119 5797910 8430090 8696865 10436238 12645135 17393730 25290270 26090595 45803489 52181190 91606978 137410467 229017445 274820934 412231401 458034890 687052335 824462802 1374104670 2061157005 4122314010