Search a number
-
+
10110000202020 = 2232556166667789
BaseRepresentation
bin1001001100011110101011…
…1110001000000100100100
31022210111200022000111022200
42103013222332020010210
52311120240022431040
633300245303054500
72062265141545605
oct223075276100444
938714608014280
1010110000202020
113248699601994
121173476741430
135844a46c6364
1426d480365dac
15127eb707a630
hex931eaf88124

10110000202020 has 36 divisors (see below), whose sum is σ = 30667000613340. Its totient is φ = 2696000053824.

The previous prime is 10110000202007. The next prime is 10110000202033. The reversal of 10110000202020 is 2020200001101.

It is an interprime number because it is at equal distance from previous prime (10110000202007) and next prime (10110000202033).

It can be written as a sum of positive squares in 2 ways, for example, as 6698354781924 + 3411645420096 = 2588118^2 + 1847064^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10110000201993 and 10110000202011.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 28083333715 + ... + 28083334074.

Almost surely, 210110000202020 is an apocalyptic number.

10110000202020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10110000202020 is an abundant number, since it is smaller than the sum of its proper divisors (20557000411320).

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

10110000202020 is a wasteful number, since it uses less digits than its factorization.

10110000202020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56166667804 (or 56166667799 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10110000202020 its reverse (2020200001101), we get a palindrome (12130200203121).

The spelling of 10110000202020 in words is "ten trillion, one hundred ten billion, two hundred two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 56166667789 112333335578 168500003367 224666671156 280833338945 337000006734 505500010101 561666677890 674000013468 842500016835 1011000020202 1123333355780 1685000033670 2022000040404 2527500050505 3370000067340 5055000101010 10110000202020