Search a number
-
+
1313661284229 = 371931617922039
BaseRepresentation
bin10011000111011100010…
…100000110111110000101
311122120210022110121010010
4103013130110012332011
5133010334242043404
62443253200220433
7163623515451360
oct23073424067605
94576708417103
101313661284229
11467136603238
1219271a60a719
1396b544a1388
144781da910d7
152428844d189
hex131dc506f85

1313661284229 has 128 divisors (see below), whose sum is σ = 2238840832000. Its totient is φ = 668333203200.

The previous prime is 1313661284209. The next prime is 1313661284233. The reversal of 1313661284229 is 9224821663131.

It is not a de Polignac number, because 1313661284229 - 224 = 1313644507013 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313661284209) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 59595192 + ... + 59617230.

It is an arithmetic number, because the mean of its divisors is an integer number (17490944000).

Almost surely, 21313661284229 is an apocalyptic number.

1313661284229 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

1313661284229 is a deficient number, since it is larger than the sum of its proper divisors (925179547771).

1313661284229 is a wasteful number, since it uses less digits than its factorization.

1313661284229 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22239.

The product of its digits is 746496, while the sum is 48.

The spelling of 1313661284229 in words is "one trillion, three hundred thirteen billion, six hundred sixty-one million, two hundred eighty-four thousand, two hundred twenty-nine".

Divisors: 1 3 7 19 21 31 57 61 79 93 133 183 217 237 399 427 553 589 651 1159 1281 1501 1659 1767 1891 2449 3477 4123 4503 4819 5673 7347 8113 10507 12369 13237 14457 17143 22039 24339 31521 33733 35929 39711 46531 51429 66117 91561 101199 107787 139593 149389 154273 251503 274683 325717 418741 448167 462819 640927 683209 754509 977151 1045723 1256223 1344379 1741081 1922781 2049627 2838391 2931187 3137169 4033137 4782463 5223243 8515173 8793561 9410653 12187567 12980971 14347389 19868737 25543201 28231959 33080539 36562701 38942913 41675749 53973511 59606211 76629603 90866797 99241617 106205941 125027247 161920533 178802407 231563773 272600391 291730243 318617823 377814577 536407221 694691319 743441587 791839231 875190729 1025496709 1133443731 2017912879 2230324761 2375517693 3076490127 3292384171 5542874617 6053738637 7178476963 9877152513 14125390153 16628623851 21535430889 23046689197 42376170459 62555299249 69140067591 187665897747 437887094743 1313661284229