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2102214042 = 232116789669
BaseRepresentation
bin111110101001101…
…0011110110011010
312102111200112112100
41331103103312122
513301131322132
6544333424230
7103044344625
oct17523236632
95374615470
102102214042
11989710585
124a803b076
132766b4846
1415d2a4dbc
15c485337c
hex7d4d3d9a

2102214042 has 12 divisors (see below), whose sum is σ = 4554797130. Its totient is φ = 700738008.

The previous prime is 2102214041. The next prime is 2102214047. The reversal of 2102214042 is 2404122012.

It can be written as a sum of positive squares in only one way, i.e., 2075804721 + 26409321 = 45561^2 + 5139^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 116789669 = 2102214042 / (2 + 1 + 0 + 2 + 2 + 1 + 4 + 0 + 4 + 2).

It is not an unprimeable number, because it can be changed into a prime (2102214041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 58394817 + ... + 58394852.

Almost surely, 22102214042 is an apocalyptic number.

2102214042 is an abundant number, since it is smaller than the sum of its proper divisors (2452583088).

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

2102214042 is a wasteful number, since it uses less digits than its factorization.

2102214042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116789677 (or 116789674 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2102214042 is about 45849.9077643565. The cubic root of 2102214042 is about 1281.0290475637.

Adding to 2102214042 its reverse (2404122012), we get a palindrome (4506336054).

The spelling of 2102214042 in words is "two billion, one hundred two million, two hundred fourteen thousand, forty-two".

Divisors: 1 2 3 6 9 18 116789669 233579338 350369007 700738014 1051107021 2102214042