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1000120020 = 223531153597
BaseRepresentation
bin111011100111001…
…001111011010100
32120200220100202020
4323213021323110
54022012320040
6243124013140
733532610544
oct7347117324
92520810666
101000120020
114735a5a79
1223ab311b0
1312c27c9c3
1496b7d324
155cc06cd0
hex3b9c9ed4

1000120020 has 48 divisors (see below), whose sum is σ = 2809392768. Its totient is φ = 265836160.

The previous prime is 1000120007. The next prime is 1000120021. The reversal of 1000120020 is 200210001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 1000119990 and 1000120008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000120021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8139 + ... + 45458.

It is an arithmetic number, because the mean of its divisors is an integer number (58529016).

Almost surely, 21000120020 is an apocalyptic number.

1000120020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000120020 is an abundant number, since it is smaller than the sum of its proper divisors (1809272748).

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

1000120020 is a wasteful number, since it uses less digits than its factorization.

1000120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53920 (or 53918 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 1000120020 is about 31624.6742275711. The cubic root of 1000120020 is about 1000.0400050662.

Adding to 1000120020 its reverse (200210001), we get a palindrome (1200330021).

The spelling of 1000120020 in words is "one billion, one hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 311 622 933 1244 1555 1866 3110 3732 4665 6220 9330 18660 53597 107194 160791 214388 267985 321582 535970 643164 803955 1071940 1607910 3215820 16668667 33337334 50006001 66674668 83343335 100012002 166686670 200024004 250030005 333373340 500060010 1000120020