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1311110040 = 233517642701
BaseRepresentation
bin100111000100101…
…1111001110011000
310101101002021212010
41032021133032120
510141121010130
6334033345520
744330152152
oct11611371630
93341067763
101311110040
116130a6419
123071082a0
1317b827b76
14c61b3ad2
157a1870b0
hex4e25f398

1311110040 has 64 divisors (see below), whose sum is σ = 4164708960. Its totient is φ = 329062400.

The previous prime is 1311110011. The next prime is 1311110041. The reversal of 1311110040 is 400111131.

1311110040 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 = 1311109998 and 1311110025.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311110041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 319311 + ... + 323390.

Almost surely, 21311110040 is an apocalyptic number.

1311110040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1311110040 is an abundant number, since it is smaller than the sum of its proper divisors (2853598920).

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

1311110040 is a wasteful number, since it uses less digits than its factorization.

1311110040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642732 (or 642728 counting only the distinct ones).

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

The square root of 1311110040 is about 36209.2535134322. The cubic root of 1311110040 is about 1094.4931496348.

Adding to 1311110040 its reverse (400111131), we get a palindrome (1711221171).

The spelling of 1311110040 in words is "one billion, three hundred eleven million, one hundred ten thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 680 1020 2040 642701 1285402 1928103 2570804 3213505 3856206 5141608 6427010 7712412 9640515 10925917 12854020 15424824 19281030 21851834 25708040 32777751 38562060 43703668 54629585 65555502 77124120 87407336 109259170 131111004 163888755 218518340 262222008 327777510 437036680 655555020 1311110040