Search a number
-
+
1041032401020 = 2232517340206667
BaseRepresentation
bin11110010011000100101…
…11011101000001111100
310200112002100010100221100
433021202113131001330
5114024013243313040
62114124345133100
7135132516256233
oct17114227350174
93615070110840
101041032401020
11371554718117
1214991378a190
13772271c1081
1438559b97b1a
151c12dbceb30
hexf2625dd07c

1041032401020 has 72 divisors (see below), whose sum is σ = 3343551133104. Its totient is φ = 261278719488.

The previous prime is 1041032401007. The next prime is 1041032401021. The reversal of 1041032401020 is 201042301401.

1041032401020 is a `hidden beast` number, since 1 + 0 + 410 + 3 + 240 + 10 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1041032400984 and 1041032401002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1041032401021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 170100274 + ... + 170106393.

It is an arithmetic number, because the mean of its divisors is an integer number (46438210182).

Almost surely, 21041032401020 is an apocalyptic number.

1041032401020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1041032401020 is an abundant number, since it is smaller than the sum of its proper divisors (2302518732084).

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

1041032401020 is a wasteful number, since it uses less digits than its factorization.

1041032401020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340206699 (or 340206694 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 1041032401020 its reverse (201042301401), we get a palindrome (1242074702421).

The spelling of 1041032401020 in words is "one trillion, forty-one billion, thirty-two million, four hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 340206667 680413334 1020620001 1360826668 1701033335 2041240002 3061860003 3402066670 4082480004 5103100005 5783513339 6123720006 6804133340 10206200010 11567026678 12247440012 15309300015 17350540017 20412400020 23134053356 28917566695 30618600030 34701080034 52051620051 57835133390 61237200060 69402160068 86752700085 104103240102 115670266780 173505400170 208206480204 260258100255 347010800340 520516200510 1041032401020