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1013301020 = 225431975981
BaseRepresentation
bin111100011001011…
…011111100011100
32121121201000200102
4330121123330130
54033401113040
6244314320232
734052626244
oct7431337434
92547630612
101013301020
1147aa89066
12243429078
13131c16404
1498810b24
155de5c515
hex3c65bf1c

1013301020 has 48 divisors (see below), whose sum is σ = 2188837728. Its totient is φ = 393818880.

The previous prime is 1013301013. The next prime is 1013301049. The reversal of 1013301020 is 201033101.

It is a junction number, because it is equal to n+sod(n) for n = 1013300992 and 1013301010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 166430 + ... + 172410.

It is an arithmetic number, because the mean of its divisors is an integer number (45600786).

Almost surely, 21013301020 is an apocalyptic number.

1013301020 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 1013301020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1094418864).

1013301020 is an abundant number, since it is smaller than the sum of its proper divisors (1175536708).

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

1013301020 is a wasteful number, since it uses less digits than its factorization.

1013301020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6230 (or 6228 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 1013301020 is about 31832.3894798992. The cubic root of 1013301020 is about 1004.4141598564.

Adding to 1013301020 its reverse (201033101), we get a palindrome (1214334121).

The spelling of 1013301020 in words is "one billion, thirteen million, three hundred one thousand, twenty".

Divisors: 1 2 4 5 10 20 43 86 172 197 215 394 430 788 860 985 1970 3940 5981 8471 11962 16942 23924 29905 33884 42355 59810 84710 119620 169420 257183 514366 1028732 1178257 1285915 2356514 2571830 4713028 5143660 5891285 11782570 23565140 50665051 101330102 202660204 253325255 506650510 1013301020