Search a number
-
+
1312320210 = 2353141127271
BaseRepresentation
bin100111000111000…
…0110101011010010
310101110100202220020
41032032012223102
510141423221320
6334115324310
744343352305
oct11616065322
93343322806
101312320210
11613852663
123075b0696
1317bb5c946
14c640ab3c
157a325940
hex4e386ad2

1312320210 has 128 divisors (see below), whose sum is σ = 3369074688. Its totient is φ = 326592000.

The previous prime is 1312320203. The next prime is 1312320239. The reversal of 1312320210 is 120232131.

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 1312320210.

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, 4842375 + ... + 4842645.

It is an arithmetic number, because the mean of its divisors is an integer number (26320896).

Almost surely, 21312320210 is an apocalyptic number.

1312320210 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 1312320210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1684537344).

1312320210 is an abundant number, since it is smaller than the sum of its proper divisors (2056754478).

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

1312320210 is a wasteful number, since it uses less digits than its factorization.

1312320210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1312320210 is about 36225.9604427543. The cubic root of 1312320210 is about 1094.8297894353.

Adding to 1312320210 its reverse (120232131), we get a palindrome (1432552341).

It can be divided in two parts, 13123 and 20210, that added together give a palindrome (33333).

The spelling of 1312320210 in words is "one billion, three hundred twelve million, three hundred twenty thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 30 31 41 62 82 93 123 127 155 186 205 246 254 271 310 381 410 465 542 615 635 762 813 930 1230 1270 1271 1355 1626 1905 2542 2710 3810 3813 3937 4065 5207 6355 7626 7874 8130 8401 10414 11111 11811 12710 15621 16802 19065 19685 22222 23622 25203 26035 31242 33333 34417 38130 39370 42005 50406 52070 55555 59055 66666 68834 78105 84010 103251 111110 118110 126015 156210 161417 166665 172085 206502 252030 322834 333330 344170 344441 484251 516255 688882 807085 968502 1032510 1033323 1066927 1411097 1614170 1722205 2066646 2133854 2421255 2822194 3200781 3444410 4233291 4842510 5166615 5334635 6401562 7055485 8466582 10333230 10669270 14110970 16003905 21166455 32007810 42332910 43744007 87488014 131232021 218720035 262464042 437440070 656160105 1312320210