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1321001010 = 232573756671
BaseRepresentation
bin100111010111100…
…1110000000110010
310102001200210201100
41032233032000302
510201134013020
6335025345230
744510215620
oct11657160062
93361623640
101321001010
1161874167a
1230a498216
131808abc04
14c762a510
157ae8ca90
hex4ebce032

1321001010 has 96 divisors (see below), whose sum is σ = 4031419392. Its totient is φ = 293777280.

The previous prime is 1321000981. The next prime is 1321001023. The reversal of 1321001010 is 101001231.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1321000983 and 1321001001.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5026 + ... + 51645.

It is an arithmetic number, because the mean of its divisors is an integer number (41993952).

Almost surely, 21321001010 is an apocalyptic number.

1321001010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1321001010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2015709696).

1321001010 is an abundant number, since it is smaller than the sum of its proper divisors (2710418382).

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

1321001010 is a wasteful number, since it uses less digits than its factorization.

1321001010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56728 (or 56725 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 1321001010 is about 36345.5775851753. The cubic root of 1321001010 is about 1097.2385306350.

Adding to 1321001010 its reverse (101001231), we get a palindrome (1422002241).

The spelling of 1321001010 in words is "one billion, three hundred twenty-one million, one thousand, ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 37 42 45 63 70 74 90 105 111 126 185 210 222 259 315 333 370 518 555 630 666 777 1110 1295 1554 1665 2331 2590 3330 3885 4662 7770 11655 23310 56671 113342 170013 283355 340026 396697 510039 566710 793394 850065 1020078 1190091 1700130 1983485 2096827 2380182 2550195 3570273 3966970 4193654 5100390 5950455 6290481 7140546 10484135 11900910 12580962 14677789 17851365 18871443 20968270 29355578 31452405 35702730 37742886 44033367 62904810 73388945 88066734 94357215 132100101 146777890 188714430 220166835 264200202 440333670 660500505 1321001010