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1031112210040 = 235112564391387
BaseRepresentation
bin11110000000100110001…
…00111011011001111000
310122120110222112110012121
433000103010323121320
5113343204211210130
62105404133051024
7134331631113523
oct17002304733170
93576428473177
101031112210040
11368323a63880
12147a05486a74
1376305bc8093
1437c9848bbba
151bc4cd38d7a
hexf01313b678

1031112210040 has 64 divisors (see below), whose sum is σ = 2531038181760. Its totient is φ = 374931169920.

The previous prime is 1031112210031. The next prime is 1031112210041. The reversal of 1031112210040 is 400122111301.

It is a junction number, because it is equal to n+sod(n) for n = 1031112209996 and 1031112210023.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1031112210041) by changing a digit.

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, 11237227 + ... + 11328613.

It is an arithmetic number, because the mean of its divisors is an integer number (39547471590).

Almost surely, 21031112210040 is an apocalyptic number.

1031112210040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1031112210040 is an abundant number, since it is smaller than the sum of its proper divisors (1499925971720).

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

1031112210040 is a wasteful number, since it uses less digits than its factorization.

1031112210040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117052 (or 117048 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 1031112210040 its reverse (400122111301), we get a palindrome (1431234321341).

The spelling of 1031112210040 in words is "one trillion, thirty-one billion, one hundred twelve million, two hundred ten thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 25643 51286 91387 102572 128215 182774 205144 256430 282073 365548 456935 512860 564146 731096 913870 1005257 1025720 1128292 1410365 1827740 2010514 2256584 2820730 3655480 4021028 5026285 5641460 8042056 10052570 11282920 20105140 40210280 2343436841 4686873682 9373747364 11717184205 18747494728 23434368410 25777805251 46868736820 51555610502 93737473640 103111221004 128889026255 206222442008 257778052510 515556105020 1031112210040