Search a number
-
+
1013021033020 = 2252317938931627
BaseRepresentation
bin11101011110111001100…
…00100100001000111100
310120211210011210102211021
432233130300210020330
5113044131341024040
62053213032233524
7133121414464303
oct16573460441074
93524704712737
101013021033020
1136068aa66807
121443b683b8a4
13746b1b22bc9
143705d8c943a
151b53e97024a
hexebdcc2423c

1013021033020 has 96 divisors (see below), whose sum is σ = 2238047884800. Its totient is φ = 384422379264.

The previous prime is 1013021032927. The next prime is 1013021033023. The reversal of 1013021033020 is 203301203101.

1013021033020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10130210330202 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1013021032985 and 1013021033003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013021033023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32014447 + ... + 32046073.

It is an arithmetic number, because the mean of its divisors is an integer number (23312998800).

Almost surely, 21013021033020 is an apocalyptic number.

1013021033020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1013021033020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1119023942400).

1013021033020 is an abundant number, since it is smaller than the sum of its proper divisors (1225026851780).

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

1013021033020 is a wasteful number, since it uses less digits than its factorization.

1013021033020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32227 (or 32225 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 1013021033020 its reverse (203301203101), we get a palindrome (1216322236121).

The spelling of 1013021033020 in words is "one trillion, thirteen billion, twenty-one million, thirty-three thousand, twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 179 230 358 389 460 716 778 895 1556 1790 1945 3580 3890 4117 7780 8234 8947 16468 17894 20585 31627 35788 41170 44735 63254 69631 82340 89470 126508 139262 158135 178940 278524 316270 348155 632540 696310 727421 1392620 1454842 1601513 2909684 3203026 3637105 5661233 6406052 7274210 8007565 11322466 12302903 14548420 16015130 22644932 24605806 28306165 32030260 49211612 56612330 61514515 113224660 123029030 130208359 246058060 260416718 282966769 520833436 565933538 651041795 1131867076 1302083590 1414833845 2202219637 2604167180 2829667690 4404439274 5659335380 8808878548 11011098185 22022196370 44044392740 50651051651 101302103302 202604206604 253255258255 506510516510 1013021033020