Search a number
-
+
10201112220 = 22351313078349
BaseRepresentation
bin10011000000000100…
…01001111010011100
3222022221012012020010
421200002021322130
5131342441042340
64404125123220
7510536010645
oct114002117234
928287165203
1010201112220
114365297662
121b883b9510
13c67573aa0
146cab546cc
153ea886b80
hex260089e9c

10201112220 has 48 divisors (see below), whose sum is σ = 30760279200. Its totient is φ = 2511042816.

The previous prime is 10201112219. The next prime is 10201112221. The reversal of 10201112220 is 2221110201.

It is an interprime number because it is at equal distance from previous prime (10201112219) and next prime (10201112221).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10201112196 and 10201112205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201112221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6538395 + ... + 6539954.

It is an arithmetic number, because the mean of its divisors is an integer number (640839150).

Almost surely, 210201112220 is an apocalyptic number.

10201112220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10201112220 is an abundant number, since it is smaller than the sum of its proper divisors (20559166980).

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

10201112220 is a wasteful number, since it uses less digits than its factorization.

10201112220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13078374 (or 13078372 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10201112220 its reverse (2221110201), we get a palindrome (12422222421).

The spelling of 10201112220 in words is "ten billion, two hundred one million, one hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 13078349 26156698 39235047 52313396 65391745 78470094 130783490 156940188 170018537 196175235 261566980 340037074 392350470 510055611 680074148 784700940 850092685 1020111222 1700185370 2040222444 2550278055 3400370740 5100556110 10201112220