Search a number
-
+
1310421210 = 23573347367
BaseRepresentation
bin100111000011011…
…0111000011011010
310101022210021221220
41032012313003122
510140431434320
6334010512510
744321253000
oct11606670332
93338707856
101310421210
1161277593a
12306a35736
1317b646487
14c6074a70
157a09ce40
hex4e1b70da

1310421210 has 128 divisors (see below), whose sum is σ = 3688243200. Its totient is φ = 297847872.

The previous prime is 1310421191. The next prime is 1310421239. The reversal of 1310421210 is 121240131.

1310421210 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1310421210.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3570447 + ... + 3570813.

It is an arithmetic number, because the mean of its divisors is an integer number (28814400).

Almost surely, 21310421210 is an apocalyptic number.

1310421210 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 1310421210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1844121600).

1310421210 is an abundant number, since it is smaller than the sum of its proper divisors (2377821990).

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

1310421210 is a wasteful number, since it uses less digits than its factorization.

1310421210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 745 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 1310421210 is about 36199.7404686829. The cubic root of 1310421210 is about 1094.3014413970.

Adding to 1310421210 its reverse (121240131), we get a palindrome (1431661341).

The spelling of 1310421210 in words is "one billion, three hundred ten million, four hundred twenty-one thousand, two hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 245 294 343 347 367 490 686 694 734 735 1029 1041 1101 1470 1715 1735 1835 2058 2082 2202 2429 2569 3430 3470 3670 4858 5138 5145 5205 5505 7287 7707 10290 10410 11010 12145 12845 14574 15414 17003 17983 24290 25690 34006 35966 36435 38535 51009 53949 72870 77070 85015 89915 102018 107898 119021 125881 127349 170030 179830 238042 251762 254698 255045 269745 357063 377643 382047 510090 539490 595105 629405 636745 714126 755286 764094 891443 1190210 1258810 1273490 1782886 1785315 1888215 1910235 2674329 3570630 3776430 3820470 4457215 5348658 6240101 8914430 12480202 13371645 18720303 26743290 31200505 37440606 43680707 62401010 87361414 93601515 131042121 187203030 218403535 262084242 436807070 655210605 1310421210