Search a number
-
+
1312201410 = 235137147389
BaseRepresentation
bin100111000110110…
…1001101011000010
310101110010201221020
41032031221223002
510141410421120
6334113010310
744342346042
oct11615515302
93343121836
101312201410
11613781383
12307553996
1317bb1a850
14c63b9722
157a300640
hex4e369ac2

1312201410 has 64 divisors (see below), whose sum is σ = 3439376640. Its totient is φ = 318447360.

The previous prime is 1312201361. The next prime is 1312201441. The reversal of 1312201410 is 141022131.

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 1312201410.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3996 + ... + 51384.

It is an arithmetic number, because the mean of its divisors is an integer number (53740260).

Almost surely, 21312201410 is an apocalyptic number.

1312201410 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 1312201410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1719688320).

1312201410 is an abundant number, since it is smaller than the sum of its proper divisors (2127175230).

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

1312201410 is a wasteful number, since it uses less digits than its factorization.

1312201410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47483.

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

The square root of 1312201410 is about 36224.3206975645. The cubic root of 1312201410 is about 1094.7967513341.

Adding to 1312201410 its reverse (141022131), we get a palindrome (1453223541).

The spelling of 1312201410 in words is "one billion, three hundred twelve million, two hundred one thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 71 78 130 142 195 213 355 390 426 710 923 1065 1846 2130 2769 4615 5538 9230 13845 27690 47389 94778 142167 236945 284334 473890 616057 710835 1232114 1421670 1848171 3080285 3364619 3696342 6160570 6729238 9240855 10093857 16823095 18481710 20187714 33646190 43740047 50469285 87480094 100938570 131220141 218700235 262440282 437400470 656100705 1312201410