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10201316220 = 22325192982841
BaseRepresentation
bin10011000000000101…
…11011101101111100
3222022221120120001200
421200002323231330
5131343014104340
64404133335500
7510540520464
oct114002735574
928287516050
1010201316220
114365416957
121b88497590
13c676158b4
146caba8ba4
153ea8c7330
hex2600bbb7c

10201316220 has 72 divisors (see below), whose sum is σ = 32572634640. Its totient is φ = 2577173760.

The previous prime is 10201316197. The next prime is 10201316243. The reversal of 10201316220 is 2261310201.

10201316220 is a `hidden beast` number, since 10 + 2 + 0 + 1 + 31 + 622 + 0 = 666.

10201316220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10201316197) and next prime (10201316243).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10201316193 and 10201316202.

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 23 ways as a sum of consecutive naturals, for example, 1488001 + ... + 1494840.

Almost surely, 210201316220 is an apocalyptic number.

10201316220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10201316220 is an abundant number, since it is smaller than the sum of its proper divisors (22371318420).

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

10201316220 is a wasteful number, since it uses less digits than its factorization.

10201316220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2982875 (or 2982870 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10201316220 its reverse (2261310201), we get a palindrome (12462626421).

The spelling of 10201316220 in words is "ten billion, two hundred one million, three hundred sixteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 1140 1710 3420 2982841 5965682 8948523 11931364 14914205 17897046 26845569 29828410 35794092 44742615 53691138 56673979 59656820 89485230 107382276 113347958 134227845 170021937 178970460 226695916 268455690 283369895 340043874 510065811 536911380 566739790 680087748 850109685 1020131622 1133479580 1700219370 2040263244 2550329055 3400438740 5100658110 10201316220