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1130423111040 = 27351734633061
BaseRepresentation
bin10000011100110010011…
…101111100110110000000
311000001211010111221100010
4100130302131330312000
5122010101304023130
62223150442224520
7144445636622166
oct20346235746600
94001733457303
101130423111040
113a6456415673
121631004b5140
13827a1a14122
143c9d9bb1236
151e6118060b0
hex1073277cd80

1130423111040 has 128 divisors (see below), whose sum is σ = 3815178109920. Its totient is φ = 283714027520.

The previous prime is 1130423111021. The next prime is 1130423111089. The reversal of 1130423111040 is 401113240311.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×11304231110403 (a number of 37 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1130423110998 and 1130423111016.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 17283891 + ... + 17349170.

Almost surely, 21130423111040 is an apocalyptic number.

1130423111040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1130423111040 is an abundant number, since it is smaller than the sum of its proper divisors (2684754998880).

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

1130423111040 is a wasteful number, since it uses less digits than its factorization.

1130423111040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34633100 (or 34633088 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 1130423111040 its reverse (401113240311), we get a palindrome (1531536351351).

The spelling of 1130423111040 in words is "one trillion, one hundred thirty billion, four hundred twenty-three million, one hundred eleven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 120 128 136 160 170 192 204 240 255 272 320 340 384 408 480 510 544 640 680 816 960 1020 1088 1360 1632 1920 2040 2176 2720 3264 4080 5440 6528 8160 10880 16320 32640 34633061 69266122 103899183 138532244 173165305 207798366 277064488 346330610 415596732 519495915 554128976 588762037 692661220 831193464 1038991830 1108257952 1177524074 1385322440 1662386928 1766286111 2077983660 2216515904 2355048148 2770644880 2943810185 3324773856 3532572222 4155967320 4433031808 4710096296 5541289760 5887620370 6649547712 7065144444 8311934640 8831430555 9420192592 11082579520 11775240740 13299095424 14130288888 16623869280 17662861110 18840385184 22165159040 23550481480 28260577776 33247738560 35325722220 37680770368 47100962960 56521155552 66495477120 70651444440 75361540736 94201925920 113042311104 141302888880 188403851840 226084622208 282605777760 376807703680 565211555520 1130423111040