Search a number
-
+
1200012001110 = 233513536450637
BaseRepresentation
bin10001011101100110010…
…010011111111101010110
311020201102220021211102000
4101131212102133331112
5124130111033013420
62315140005500130
7152461262465466
oct21354622377526
94221386254360
101200012001110
11422a1654376a
121746a1711646
1389211c2a360
144211bd6dba6
1521335cab690
hex1176649ff56

1200012001110 has 128 divisors (see below), whose sum is σ = 3511211276160. Its totient is φ = 289814174208.

The previous prime is 1200012001073. The next prime is 1200012001157. The reversal of 1200012001110 is 111002100021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1200012001092 and 1200012001101.

It is a congruent number.

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, 3039289 + ... + 3411348.

It is an arithmetic number, because the mean of its divisors is an integer number (27431338095).

Almost surely, 21200012001110 is an apocalyptic number.

1200012001110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1200012001110 is an abundant number, since it is smaller than the sum of its proper divisors (2311199275050).

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

1200012001110 is a wasteful number, since it uses less digits than its factorization.

1200012001110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6450719 (or 6450713 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1200012001110 its reverse (111002100021), we get a palindrome (1311014101131).

The spelling of 1200012001110 in words is "one trillion, two hundred billion, twelve million, one thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 53 54 65 78 90 106 117 130 135 159 195 234 265 270 318 351 390 477 530 585 689 702 795 954 1170 1378 1431 1590 1755 2067 2385 2862 3445 3510 4134 4770 6201 6890 7155 10335 12402 14310 18603 20670 31005 37206 62010 93015 186030 6450637 12901274 19351911 32253185 38703822 58055733 64506370 83858281 96759555 116111466 167716562 174167199 193519110 251574843 290278665 341883761 348334398 419291405 503149686 580557330 683767522 754724529 838582810 870835995 1025651283 1257874215 1509449058 1709418805 1741671990 2051302566 2264173587 2515748430 3076953849 3418837610 3773622645 4444488893 4528347174 5128256415 6153907698 7547245290 8888977786 9230861547 10256512830 11320867935 13333466679 15384769245 18461723094 22222444465 22641735870 26666933358 30769538490 40000400037 44444888930 46154307735 66667333395 80000800074 92308615470 120001200111 133334666790 200002000185 240002400222 400004000370 600006000555 1200012001110