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1012100520040 = 235317421189593
BaseRepresentation
bin11101011101001011110…
…01000101100001101000
310120202102000200112101221
432232211321011201220
5113040240213120130
62052541430351424
7133056536322061
oct16564571054150
93522360615357
101012100520040
113602583a3785
1214419a4bb574
13745961c677c
1436db354d568
151b4d8c4087a
hexeba5e45868

1012100520040 has 64 divisors (see below), whose sum is σ = 2289848078160. Its totient is φ = 402602403840.

The previous prime is 1012100520029. The next prime is 1012100520049. The reversal of 1012100520040 is 400250012101.

1012100520040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 66581545156 + 945518974884 = 258034^2 + 972378^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1012100519996 and 1012100520023.

It is not an unprimeable number, because it can be changed into a prime (1012100520049) 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, 5243484 + ... + 5433076.

Almost surely, 21012100520040 is an apocalyptic number.

1012100520040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012100520040 is an abundant number, since it is smaller than the sum of its proper divisors (1277747558120).

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

1012100520040 is a wasteful number, since it uses less digits than its factorization.

1012100520040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190342 (or 190338 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

Adding to 1012100520040 its reverse (400250012101), we get a palindrome (1412350532141).

The spelling of 1012100520040 in words is "one trillion, twelve billion, one hundred million, five hundred twenty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 317 421 634 842 1268 1585 1684 2105 2536 3170 3368 4210 6340 8420 12680 16840 133457 189593 266914 379186 533828 667285 758372 947965 1067656 1334570 1516744 1895930 2669140 3791860 5338280 7583720 60100981 79818653 120201962 159637306 240403924 300504905 319274612 399093265 480807848 601009810 638549224 798186530 1202019620 1596373060 2404039240 3192746120 25302513001 50605026002 101210052004 126512565005 202420104008 253025130010 506050260020 1012100520040