Search a number
-
+
1110123030042 = 23213103320532237
BaseRepresentation
bin10000001001111000011…
…111010010011000011010
310221010102101022222100100
4100021320133102120122
5121142012443430132
62205552233120230
7143126612030445
oct20117037223032
93833371288310
101110123030042
11398889567324
1215b195b59076
13808b8110890
143ba31ad465c
151dd2456237c
hex102787d261a

1110123030042 has 96 divisors (see below), whose sum is σ = 2595217152528. Its totient is φ = 340926962688.

The previous prime is 1110123029989. The next prime is 1110123030061. The reversal of 1110123030042 is 2400303210111.

It can be written as a sum of positive squares in 8 ways, for example, as 840428729001 + 269694301041 = 916749^2 + 519321^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 1110123029997 and 1110123030024.

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, 496254148 + ... + 496256384.

Almost surely, 21110123030042 is an apocalyptic number.

1110123030042 is an abundant number, since it is smaller than the sum of its proper divisors (1485094122486).

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

1110123030042 is a wasteful number, since it uses less digits than its factorization.

1110123030042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5344 (or 5341 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1110123030042 its reverse (2400303210111), we get a palindrome (3510426240153).

The spelling of 1110123030042 in words is "one trillion, one hundred ten billion, one hundred twenty-three million, thirty thousand, forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 1033 2053 2066 2237 3099 4106 4474 6159 6198 6711 9297 12318 13422 13429 18477 18594 20133 26689 26858 29081 36954 40266 40287 53378 58162 80067 80574 87243 120861 160134 174486 240201 241722 261729 480402 523458 2120749 2310821 4241498 4592561 4621642 6362247 6932463 9185122 12724494 13777683 13864926 19086741 20797389 27555366 27569737 30040673 38173482 41333049 41594778 55139474 59703293 60081346 82666098 82709211 90122019 119406586 165418422 179109879 180244038 248127633 270366057 358219758 496255266 537329637 540732114 1074659274 4744115513 9488231026 14232346539 28464693078 42697039617 61673501669 85394079234 123347003338 185020505007 370041010014 555061515021 1110123030042