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2131012020 = 223538991303
BaseRepresentation
bin111111100000100…
…1010100110110100
312111111212121221010
41333001022212310
513331014341040
6551242552220
7103544206014
oct17701124664
95444777833
102131012020
119a399a965
124b5808670
1327c658677
1416303dc44
15c7140e80
hex7f04a9b4

2131012020 has 48 divisors (see below), whose sum is σ = 5982238080. Its totient is φ = 566802816.

The previous prime is 2131012019. The next prime is 2131012057. The reversal of 2131012020 is 202101312.

2131012020 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 = 2131011987 and 2131012005.

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, 22312 + ... + 68991.

It is an arithmetic number, because the mean of its divisors is an integer number (124629960).

Almost surely, 22131012020 is an apocalyptic number.

2131012020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2131012020 is an abundant number, since it is smaller than the sum of its proper divisors (3851226060).

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

2131012020 is a wasteful number, since it uses less digits than its factorization.

2131012020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91704 (or 91702 counting only the distinct ones).

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

The square root of 2131012020 is about 46162.8857416865. The cubic root of 2131012020 is about 1286.8520926472.

Adding to 2131012020 its reverse (202101312), we get a palindrome (2333113332).

The spelling of 2131012020 in words is "two billion, one hundred thirty-one million, twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 389 778 1167 1556 1945 2334 3890 4668 5835 7780 11670 23340 91303 182606 273909 365212 456515 547818 913030 1095636 1369545 1826060 2739090 5478180 35516867 71033734 106550601 142067468 177584335 213101202 355168670 426202404 532753005 710337340 1065506010 2131012020