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2110112020 = 2253372929
BaseRepresentation
bin111110111000101…
…1100000100010100
312110001112210112001
41331301130010110
513310142041040
6545215005044
7103201441042
oct17561340424
95401483461
102110112020
11993115435
124aa809784
1327821b6c3
1416035d392
15c53b359a
hex7dc5c114

2110112020 has 36 divisors (see below), whose sum is σ = 4449207420. Its totient is φ = 840634368.

The previous prime is 2110112009. The next prime is 2110112021. The reversal of 2110112020 is 202110112.

It can be written as a sum of positive squares in 6 ways, for example, as 739187344 + 1370924676 = 27188^2 + 37026^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 2110111988 and 2110112006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2110112021) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2270916 + ... + 2271844.

It is an arithmetic number, because the mean of its divisors is an integer number (123589095).

Almost surely, 22110112020 is an apocalyptic number.

2110112020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2110112020 is an abundant number, since it is smaller than the sum of its proper divisors (2339095400).

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

2110112020 is an equidigital number, since it uses as much as digits as its factorization.

2110112020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1612 (or 1273 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 2110112020 is about 45935.9556339040. The cubic root of 2110112020 is about 1282.6313099001.

Adding to 2110112020 its reverse (202110112), we get a palindrome (2312222132).

The spelling of 2110112020 in words is "two billion, one hundred ten million, one hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 20 337 674 929 1348 1685 1858 3370 3716 4645 6740 9290 18580 113569 227138 313073 454276 567845 626146 1135690 1252292 1565365 2271380 3130730 6261460 105505601 211011202 422022404 527528005 1055056010 2110112020