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1016110040 = 235112309341
BaseRepresentation
bin111100100100001…
…001101111011000
32121210222201221012
4330210021233120
54040111010130
6244454433052
734115535641
oct7444115730
92553881835
101016110040
11481627570
12244362788
1313268ab5a
1498d426c8
155e314995
hex3c909bd8

1016110040 has 32 divisors (see below), whose sum is σ = 2494089360. Its totient is φ = 369494400.

The previous prime is 1016110019. The next prime is 1016110049. The reversal of 1016110040 is 400116101.

1016110040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10161100402 = 2064959226777603200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1016109997 and 1016110024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1016110049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1154231 + ... + 1155110.

Almost surely, 21016110040 is an apocalyptic number.

1016110040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1016110040 is an abundant number, since it is smaller than the sum of its proper divisors (1477979320).

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

1016110040 is a wasteful number, since it uses less digits than its factorization.

1016110040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2309363 (or 2309359 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

The square root of 1016110040 is about 31876.4809852029. The cubic root of 1016110040 is about 1005.3414316427.

Adding to 1016110040 its reverse (400116101), we get a palindrome (1416226141).

The spelling of 1016110040 in words is "one billion, sixteen million, one hundred ten thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 2309341 4618682 9237364 11546705 18474728 23093410 25402751 46186820 50805502 92373640 101611004 127013755 203222008 254027510 508055020 1016110040