Search a number
-
+
1301323002219 = 3243711071133917
BaseRepresentation
bin10010111011111100111…
…001010011000101101011
311121101221102210221002100
4102323330321103011223
5132310102142032334
62433453004104443
7163005666003612
oct22737471230553
94541842727070
101301323002219
11461984a00359
12190256535123
13959392271a6
1446dad176879
1523cb515ac99
hex12efce5316b

1301323002219 has 96 divisors (see below), whose sum is σ = 1986650924544. Its totient is φ = 820096865280.

The previous prime is 1301323002169. The next prime is 1301323002313. The reversal of 1301323002219 is 9122003231031.

1301323002219 is a `hidden beast` number, since 1 + 3 + 0 + 132 + 300 + 221 + 9 = 666.

It is a de Polignac number, because none of the positive numbers 2k-1301323002219 is a prime.

It is a super-2 number, since 2×13013230022192 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1301323002192 and 1301323002201.

It is not an unprimeable number, because it can be changed into a prime (1301323001219) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 332222449 + ... + 332226365.

It is an arithmetic number, because the mean of its divisors is an integer number (20694280464).

Almost surely, 21301323002219 is an apocalyptic number.

1301323002219 is a deficient number, since it is larger than the sum of its proper divisors (685327922325).

1301323002219 is a wasteful number, since it uses less digits than its factorization.

1301323002219 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4257 (or 4254 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The spelling of 1301323002219 in words is "one trillion, three hundred one billion, three hundred twenty-three million, two thousand, two hundred nineteen".

Divisors: 1 3 9 43 71 107 113 129 213 321 339 387 639 963 1017 3053 3917 4601 4859 7597 8023 9159 11751 12091 13803 14577 22791 24069 27477 35253 36273 41409 43731 68373 72207 108819 168431 278107 326671 344989 419119 442621 505293 519913 834321 858461 980013 1034967 1257357 1327863 1515879 1559739 2502963 2575383 2940039 3104901 3772071 3983589 4679217 7726149 11958601 18022117 19032703 29757449 31426091 35875803 36913823 47360447 54066351 57098109 89272347 94278273 107627409 110741469 142081341 162199053 171294327 267817041 282834819 332224407 426244023 1279570307 1351321913 2036499221 3362591737 3838710921 4053965739 6109497663 10087775211 11516132763 12161897217 18328492989 30263325633 144591444691 433774334073 1301323002219