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20131021020 = 223511151201997
BaseRepresentation
bin10010101111111001…
…110000000011011100
31220221222001211022010
4102233321300003130
5312212020133040
613125325351220
71311602566245
oct225771600334
956858054263
1020131021020
1185a0489060
123a99a08510
131b8a890076
14d8d86dccc
157cc4ebe80
hex4afe700dc

20131021020 has 96 divisors (see below), whose sum is σ = 61898651136. Its totient is φ = 4847904000.

The previous prime is 20131020989. The next prime is 20131021049. The reversal of 20131021020 is 2012013102.

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 = 20131020987 and 20131021005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1339 + ... + 200658.

It is an arithmetic number, because the mean of its divisors is an integer number (644777616).

Almost surely, 220131021020 is an apocalyptic number.

20131021020 is a gapful number since it is divisible by the number (20) 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 20131021020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30949325568).

20131021020 is an abundant number, since it is smaller than the sum of its proper divisors (41767630116).

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

20131021020 is a wasteful number, since it uses less digits than its factorization.

20131021020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202171 (or 202169 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 20131021020 its reverse (2012013102), we get a palindrome (22143034122).

The spelling of 20131021020 in words is "twenty billion, one hundred thirty-one million, twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 151 165 220 302 330 453 604 660 755 906 1510 1661 1812 2265 3020 3322 4530 4983 6644 8305 9060 9966 16610 19932 24915 33220 49830 99660 201997 403994 605991 807988 1009985 1211982 2019970 2221967 2423964 3029955 4039940 4443934 6059910 6665901 8887868 11109835 12119820 13331802 22219670 26663604 30501547 33329505 44439340 61003094 66659010 91504641 122006188 133318020 152507735 183009282 305015470 335517017 366018564 457523205 610030940 671034034 915046410 1006551051 1342068068 1677585085 1830092820 2013102102 3355170170 4026204204 5032755255 6710340340 10065510510 20131021020