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100320210 = 23251497481
BaseRepresentation
bin1011111101011…
…00001111010010
320222202210110100
411332230033102
5201140221320
613542113230
72325464514
oct576541722
9228683410
10100320210
11516a0071
122971b816
1317a26493
14d475bb4
158c19790
hex5fac3d2

100320210 has 48 divisors (see below), whose sum is σ = 262618200. Its totient is φ = 26568960.

The previous prime is 100320197. The next prime is 100320211. The reversal of 100320210 is 12023001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 79334649 + 20985561 = 8907^2 + 4581^2 .

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 = 100320192 and 100320201.

It is not an unprimeable number, because it can be changed into a prime (100320211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9670 + ... + 17150.

Almost surely, 2100320210 is an apocalyptic number.

100320210 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 100320210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131309100).

100320210 is an abundant number, since it is smaller than the sum of its proper divisors (162297990).

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

100320210 is a wasteful number, since it uses less digits than its factorization.

100320210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7643 (or 7640 counting only the distinct ones).

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

The square root of 100320210 is about 10015.9977036739. The cubic root of 100320210 is about 464.6537832171.

Adding to 100320210 its reverse (12023001), we get a palindrome (112343211).

The spelling of 100320210 in words is "one hundred million, three hundred twenty thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 149 298 447 745 894 1341 1490 2235 2682 4470 6705 7481 13410 14962 22443 37405 44886 67329 74810 112215 134658 224430 336645 673290 1114669 2229338 3344007 5573345 6688014 10032021 11146690 16720035 20064042 33440070 50160105 100320210