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1131000110040 = 233599723833967
BaseRepresentation
bin10000011101010100110…
…111000001101111011000
311000010022100020112011110
4100131110313001233120
5122012242012010130
62223324013300320
7144466144213053
oct20352467015730
94003270215143
101131000110040
113a6722093549
121632417946a0
1382864418658
143ca5268ba9a
151e6472cdab0
hex10754dc1bd8

1131000110040 has 128 divisors (see below), whose sum is σ = 3398685327360. Its totient is φ = 301095166464.

The previous prime is 1131000110033. The next prime is 1131000110057. The reversal of 1131000110040 is 400110001311.

It is a super-2 number, since 2×11310001100402 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1131000109998 and 1131000110025.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 285100137 + ... + 285104103.

It is an arithmetic number, because the mean of its divisors is an integer number (26552229120).

Almost surely, 21131000110040 is an apocalyptic number.

1131000110040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1131000110040 is an abundant number, since it is smaller than the sum of its proper divisors (2267685217320).

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

1131000110040 is a wasteful number, since it uses less digits than its factorization.

1131000110040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7361 (or 7357 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 1131000110040 its reverse (400110001311), we get a palindrome (1531110111351).

The spelling of 1131000110040 in words is "one trillion, one hundred thirty-one billion, one hundred ten thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 997 1994 2383 2991 3967 3988 4766 4985 5982 7149 7934 7976 9532 9970 11901 11915 11964 14298 14955 15868 19064 19835 19940 23802 23830 23928 28596 29910 31736 35745 39670 39880 47604 47660 57192 59505 59820 71490 79340 95208 95320 119010 119640 142980 158680 238020 285960 476040 2375851 3955099 4751702 7127553 7910198 9453361 9503404 11865297 11879255 14255106 15820396 18906722 19006808 19775495 23730594 23758510 28360083 28510212 31640792 35637765 37813444 39550990 47266805 47461188 47517020 56720166 57020424 59326485 71275530 75626888 79101980 94533610 94922376 95034040 113440332 118652970 141800415 142551060 158203960 189067220 226880664 237305940 283600830 285102120 378134440 474611880 567201660 1134403320 9425000917 18850001834 28275002751 37700003668 47125004585 56550005502 75400007336 94250009170 113100011004 141375013755 188500018340 226200022008 282750027510 377000036680 565500055020 1131000110040