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1010111040 = 26335116911
BaseRepresentation
bin111100001101010…
…001001001000000
32121101200221212000
4330031101021000
54032042023130
6244122104000
734013542101
oct7415211100
92541627760
101010111040
114791aa414
1224234b000
1313136a453
14982203a8
155da2c260
hex3c351240

1010111040 has 112 divisors (see below), whose sum is σ = 3563477760. Its totient is φ = 269360640.

The previous prime is 1010110967. The next prime is 1010111057. The reversal of 1010111040 is 401110101.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49816 + ... + 67095.

Almost surely, 21010111040 is an apocalyptic number.

1010111040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010111040 is an abundant number, since it is smaller than the sum of its proper divisors (2553366720).

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

1010111040 is a wasteful number, since it uses less digits than its factorization.

1010111040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116937 (or 116921 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 1010111040 is about 31782.2440994968. The cubic root of 1010111040 is about 1003.3590508107.

Adding to 1010111040 its reverse (401110101), we get a palindrome (1411221141).

The spelling of 1010111040 in words is "one billion, ten million, one hundred eleven thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 135 144 160 180 192 216 240 270 288 320 360 432 480 540 576 720 864 960 1080 1440 1728 2160 2880 4320 8640 116911 233822 350733 467644 584555 701466 935288 1052199 1169110 1402932 1753665 1870576 2104398 2338220 2805864 3156597 3507330 3741152 4208796 4676440 5260995 5611728 6313194 7014660 7482304 8417592 9352880 10521990 11223456 12626388 14029320 15782985 16835184 18705760 21043980 22446912 25252776 28058640 31565970 33670368 37411520 42087960 50505552 56117280 63131940 67340736 84175920 101011104 112234560 126263880 168351840 202022208 252527760 336703680 505055520 1010111040