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11142113136 = 2437211430663
BaseRepresentation
bin10100110000001111…
…10010011101110000
31001202111211222210220
422120013302131300
5140304340110021
65041342053040
7543053253600
oct123007623560
931674758726
1011142113136
1147a8483570
1221ab57a180
1310874c476b
14779b04c00
154532b1cc6
hex2981f2770

11142113136 has 120 divisors (see below), whose sum is σ = 36527197824. Its totient is φ = 2894048640.

The previous prime is 11142113117. The next prime is 11142113183. The reversal of 11142113136 is 63131124111.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 189460 + ... + 241203.

Almost surely, 211142113136 is an apocalyptic number.

11142113136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11142113136 is an abundant number, since it is smaller than the sum of its proper divisors (25385084688).

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

11142113136 is a wasteful number, since it uses less digits than its factorization.

11142113136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430699 (or 430686 counting only the distinct ones).

The product of its digits is 432, while the sum is 24.

Adding to 11142113136 its reverse (63131124111), we get a palindrome (74273237247).

The spelling of 11142113136 in words is "eleven billion, one hundred forty-two million, one hundred thirteen thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 49 56 66 77 84 88 98 112 132 147 154 168 176 196 231 264 294 308 336 392 462 528 539 588 616 784 924 1078 1176 1232 1617 1848 2156 2352 3234 3696 4312 6468 8624 12936 25872 430663 861326 1291989 1722652 2583978 3014641 3445304 4737293 5167956 6029282 6890608 9043923 9474586 10335912 12058564 14211879 18087846 18949172 20671824 21102487 24117128 28423758 33161051 36175692 37898344 42204974 48234256 56847516 63307461 66322102 72351384 75796688 84409948 99483153 113695032 126614922 132644204 144702768 168819896 198966306 227390064 232127357 253229844 265288408 337639792 397932612 464254714 506459688 530576816 696382071 795865224 928509428 1012919376 1392764142 1591730448 1857018856 2785528284 3714037712 5571056568 11142113136