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1110042014310 = 232570919019151
BaseRepresentation
bin10000001001110011101…
…010001111001001100110
310221010012201212221122200
4100021303222033021212
5121141331223424220
62205540220435330
7143124606304125
oct20116352171146
93833181787580
101110042014310
11398847861a79
1215b1729a8b46
13808a43b6088
143ba25045abc
151dd1c3ac890
hex10273a8f266

1110042014310 has 96 divisors (see below), whose sum is σ = 2892016258560. Its totient is φ = 295405920000.

The previous prime is 1110042014299. The next prime is 1110042014317. The reversal of 1110042014310 is 134102400111.

1110042014310 is a `hidden beast` number, since 1 + 1 + 100 + 420 + 143 + 1 + 0 = 666.

It is a super-2 number, since 2×11100420143102 (a number of 25 digits) contains 22 as substring.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1110042014317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 121298235 + ... + 121307385.

It is an arithmetic number, because the mean of its divisors is an integer number (30125169360).

Almost surely, 21110042014310 is an apocalyptic number.

1110042014310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1110042014310 is an abundant number, since it is smaller than the sum of its proper divisors (1781974244250).

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

1110042014310 is a wasteful number, since it uses less digits than its factorization.

1110042014310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11774 (or 11771 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 1110042014310 its reverse (134102400111), we get a palindrome (1244144414421).

The spelling of 1110042014310 in words is "one trillion, one hundred ten billion, forty-two million, fourteen thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 709 1418 1901 2127 3545 3802 4254 5703 6381 7090 9151 9505 10635 11406 12762 17109 18302 19010 21270 27453 28515 31905 34218 45755 54906 57030 63810 82359 85545 91510 137265 164718 171090 274530 411795 823590 1347809 2695618 4043427 6488059 6739045 8086854 12130281 12976118 13478090 17396051 19464177 20217135 24260562 32440295 34792102 38928354 40434270 52188153 58392531 60651405 64880590 86980255 97320885 104376306 116785062 121302810 156564459 173960510 194641770 260940765 291962655 313128918 521881530 583925310 782822295 1565644590 12333800159 24667600318 37001400477 61669000795 74002800954 111004201431 123338001590 185007002385 222008402862 370014004770 555021007155 1110042014310