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100220310 = 23251796221
BaseRepresentation
bin1011111100100…
…11110110010110
320222120201102100
411332103312112
5201124022220
613540022530
72324600331
oct576236626
9228521370
10100220310
1151632003
1229691a46
13179bcb78
14d44b618
158be9d90
hex5f93d96

100220310 has 48 divisors (see below), whose sum is σ = 262070640. Its totient is φ = 26571840.

The previous prime is 100220299. The next prime is 100220311. The reversal of 100220310 is 13022001.

It is a happy number.

It is a super-2 number, since 2×1002203102 = 20088221072992200, which contains 22 as substring.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100220292 and 100220301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100220311) by changing a digit.

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, 13000 + ... + 19220.

It is an arithmetic number, because the mean of its divisors is an integer number (5459805).

Almost surely, 2100220310 is an apocalyptic number.

100220310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100220310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131035320).

100220310 is an abundant number, since it is smaller than the sum of its proper divisors (161850330).

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

100220310 is a wasteful number, since it uses less digits than its factorization.

100220310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6413 (or 6410 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 100220310 is about 10011.0094396120. The cubic root of 100220310 is about 464.4994961609.

Adding to 100220310 its reverse (13022001), we get a palindrome (113242311).

It can be divided in two parts, 1002 and 20310, that added together give a palindrome (21312).

The spelling of 100220310 in words is "one hundred million, two hundred twenty thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 179 358 537 895 1074 1611 1790 2685 3222 5370 6221 8055 12442 16110 18663 31105 37326 55989 62210 93315 111978 186630 279945 559890 1113559 2227118 3340677 5567795 6681354 10022031 11135590 16703385 20044062 33406770 50110155 100220310