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1011341104040 = 235191333999761
BaseRepresentation
bin11101011011110001010…
…00001001001110101000
310120200110002201012111102
432231320220021032220
5113032211310312130
62052334221420532
7133031655355211
oct16557050111650
93520402635442
101011341104040
1135a9a8762253
1214400810a748
13744a4a831a7
1436d4074a408
151b492233645
hexeb78a093a8

1011341104040 has 64 divisors (see below), whose sum is σ = 2395485144000. Its totient is φ = 383212477440.

The previous prime is 1011341104003. The next prime is 1011341104063. The reversal of 1011341104040 is 404011431101.

It is a super-2 number, since 2×10113411040402 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 10087760 + ... + 10187520.

It is an arithmetic number, because the mean of its divisors is an integer number (37429455375).

Almost surely, 21011341104040 is an apocalyptic number.

1011341104040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1011341104040 is an abundant number, since it is smaller than the sum of its proper divisors (1384144039960).

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

1011341104040 is a wasteful number, since it uses less digits than its factorization.

1011341104040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113130 (or 113126 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 1011341104040 its reverse (404011431101), we get a palindrome (1415352535141).

The spelling of 1011341104040 in words is "one trillion, eleven billion, three hundred forty-one million, one hundred four thousand, forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 760 13339 26678 53356 66695 99761 106712 133390 199522 253441 266780 399044 498805 506882 533560 798088 997610 1013764 1267205 1895459 1995220 2027528 2534410 3790918 3990440 5068820 7581836 9477295 10137640 15163672 18954590 37909180 75818360 1330711979 2661423958 5322847916 6653559895 10645695832 13307119790 25283527601 26614239580 50567055202 53228479160 101134110404 126417638005 202268220808 252835276010 505670552020 1011341104040