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210042302420 = 225157277241489
BaseRepresentation
bin1100001110011101111…
…1110010111111010100
3202002011012122111122002
43003213133302333110
511420131312134140
6240254143254432
721114021053426
oct3034737627724
9662135574562
10210042302420
1181095449695
123485a8aa418
1316a649cb162
14a247ad6816
1556e4ddb415
hex30e77f2fd4

210042302420 has 48 divisors (see below), whose sum is σ = 445502683920. Its totient is φ = 83180058624.

The previous prime is 210042302411. The next prime is 210042302441. The reversal of 210042302420 is 24203240012.

It can be written as a sum of positive squares in 8 ways, for example, as 52048772164 + 157993530256 = 228142^2 + 397484^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 210042302392 and 210042302401.

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, 749036 + ... + 990524.

It is an arithmetic number, because the mean of its divisors is an integer number (9281305915).

Almost surely, 2210042302420 is an apocalyptic number.

210042302420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210042302420 is an abundant number, since it is smaller than the sum of its proper divisors (235460381500).

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

210042302420 is a wasteful number, since it uses less digits than its factorization.

210042302420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241932 (or 241930 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 210042302420 its reverse (24203240012), we get a palindrome (234245542432).

The spelling of 210042302420 in words is "two hundred ten billion, forty-two million, three hundred two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 157 277 314 554 628 785 1108 1385 1570 2770 3140 5540 43489 86978 173956 217445 241489 434890 482978 869780 965956 1207445 2414890 4829780 37913773 66892453 75827546 133784906 151655092 189568865 267569812 334462265 379137730 668924530 758275460 1337849060 10502115121 21004230242 42008460484 52510575605 105021151210 210042302420