Search a number
-
+
12300402114 = 23271113682673
BaseRepresentation
bin10110111010010100…
…10011110111000010
31011202020101011120200
423131022103313002
5200142400331424
65352320150030
7613546456440
oct133512236702
934666334520
1012300402114
115242290190
122473468316
131210473660
14849897b90
154bed0d8c9
hex2dd293dc2

12300402114 has 96 divisors (see below), whose sum is σ = 35783040384. Its totient is φ = 2949143040.

The previous prime is 12300402091. The next prime is 12300402151. The reversal of 12300402114 is 41120400321.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 323319 + ... + 359354.

It is an arithmetic number, because the mean of its divisors is an integer number (372740004).

Almost surely, 212300402114 is an apocalyptic number.

12300402114 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

12300402114 is an abundant number, since it is smaller than the sum of its proper divisors (23482638270).

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

12300402114 is a wasteful number, since it uses less digits than its factorization.

12300402114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682712 (or 682709 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12300402114 its reverse (41120400321), we get a palindrome (53420802435).

It can be divided in two parts, 12300 and 402114, that added together give a palindrome (414414).

The spelling of 12300402114 in words is "twelve billion, three hundred million, four hundred two thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 9 11 13 14 18 21 22 26 33 39 42 63 66 77 78 91 99 117 126 143 154 182 198 231 234 273 286 429 462 546 693 819 858 1001 1287 1386 1638 2002 2574 3003 6006 9009 18018 682673 1365346 2048019 4096038 4778711 6144057 7509403 8874749 9557422 12288114 14336133 15018806 17749498 22528209 26624247 28672266 43008399 45056418 52565821 53248494 62123243 67584627 79872741 86016798 97622239 105131642 124246486 135169254 157697463 159745482 186369729 195244478 292866717 315394926 372739458 473092389 559109187 585733434 683355673 878600151 946184778 1118218374 1366711346 1757200302 2050067019 4100134038 6150201057 12300402114