Search a number
-
+
101203022320 = 24517181411127
BaseRepresentation
bin101111001000000101…
…0111001000111110000
3100200020000100012121221
41132100022321013300
53124230433203240
6114254135554424
710211622332131
oct1362012710760
9320200305557
10101203022320
1139a13516624
121774482ba14
13970ab2177a
144c80b39c88
152974b70a4a
hex17902b91f0

101203022320 has 80 divisors (see below), whose sum is σ = 250515091008. Its totient is φ = 37889372160.

The previous prime is 101203022309. The next prime is 101203022353. The reversal of 101203022320 is 23220302101.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 101203022294 and 101203022303.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40597 + ... + 451723.

Almost surely, 2101203022320 is an apocalyptic number.

101203022320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101203022320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125257545504).

101203022320 is an abundant number, since it is smaller than the sum of its proper divisors (149312068688).

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

101203022320 is a wasteful number, since it uses less digits than its factorization.

101203022320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411338 (or 411332 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 101203022320 its reverse (23220302101), we get a palindrome (124423324421).

The spelling of 101203022320 in words is "one hundred one billion, two hundred three million, twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 181 272 340 362 680 724 905 1360 1448 1810 2896 3077 3620 6154 7240 12308 14480 15385 24616 30770 49232 61540 123080 246160 411127 822254 1644508 2055635 3289016 4111270 6578032 6989159 8222540 13978318 16445080 27956636 32890160 34945795 55913272 69891590 74413987 111826544 139783180 148827974 279566360 297655948 372069935 559132720 595311896 744139870 1190623792 1265037779 1488279740 2530075558 2976559480 5060151116 5953118960 6325188895 10120302232 12650377790 20240604464 25300755580 50601511160 101203022320