Search a number
-
+
1001112301020 = 2235135324216553
BaseRepresentation
bin11101001000101101111…
…00010110110111011100
310112201001020102011122010
432210112330112313130
5112400234222113040
62043523222551220
7132220332104106
oct16442674266734
93481036364563
101001112301020
11356629882137
12142032598510
1373534865520
1436650068576
151b09422be80
hexe916f16ddc

1001112301020 has 96 divisors (see below), whose sum is σ = 3075696090432. Its totient is φ = 241778055168.

The previous prime is 1001112301019. The next prime is 1001112301027. The reversal of 1001112301020 is 201032111001.

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 = 1001112300987 and 1001112301005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001112301027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12066937 + ... + 12149616.

It is an arithmetic number, because the mean of its divisors is an integer number (32038500942).

Almost surely, 21001112301020 is an apocalyptic number.

1001112301020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001112301020 is an abundant number, since it is smaller than the sum of its proper divisors (2074583789412).

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

1001112301020 is a wasteful number, since it uses less digits than its factorization.

1001112301020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24216631 (or 24216629 counting only the distinct ones).

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

Adding to 1001112301020 its reverse (201032111001), we get a palindrome (1202144412021).

The spelling of 1001112301020 in words is "one trillion, one billion, one hundred twelve million, three hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 53 60 65 78 106 130 156 159 195 212 260 265 318 390 530 636 689 780 795 1060 1378 1590 2067 2756 3180 3445 4134 6890 8268 10335 13780 20670 41340 24216553 48433106 72649659 96866212 121082765 145299318 242165530 290598636 314815189 363248295 484331060 629630378 726496590 944445567 1259260756 1283477309 1452993180 1574075945 1888891134 2566954618 3148151890 3777782268 3850431927 4722227835 5133909236 6296303780 6417386545 7700863854 9444455670 12834773090 15401727708 16685205017 18888911340 19252159635 25669546180 33370410034 38504319270 50055615051 66740820068 77008638540 83426025085 100111230102 166852050170 200222460204 250278075255 333704100340 500556150510 1001112301020