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2031320100 = 2235210763281
BaseRepresentation
bin111100100010011…
…0111110000100100
312020120021202022210
41321010313300210
513130004220400
6533322123420
7101223636015
oct17104676044
95216252283
102031320100
11952699947
12488350570
13264ac2174
14153acd00c
15bd4ec950
hex79137c24

2031320100 has 72 divisors (see below), whose sum is σ = 5932307808. Its totient is φ = 536614400.

The previous prime is 2031320099. The next prime is 2031320107. The reversal of 2031320100 is 10231302.

It is a happy number.

It is a super-2 number, since 2×20313201002 = 8252522697328020000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2031320107) 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, 460 + ... + 63740.

It is an arithmetic number, because the mean of its divisors is an integer number (82393164).

Almost surely, 22031320100 is an apocalyptic number.

2031320100 is a gapful number since it is divisible by the number (20) 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 2031320100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2966153904).

2031320100 is an abundant number, since it is smaller than the sum of its proper divisors (3900987708).

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

2031320100 is a wasteful number, since it uses less digits than its factorization.

2031320100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63405 (or 63398 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 2031320100 is about 45070.1686262654. The cubic root of 2031320100 is about 1266.4638233203.

Adding to 2031320100 its reverse (10231302), we get a palindrome (2041551402).

The spelling of 2031320100 in words is "two billion, thirty-one million, three hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 107 150 214 300 321 428 535 642 1070 1284 1605 2140 2675 3210 5350 6420 8025 10700 16050 32100 63281 126562 189843 253124 316405 379686 632810 759372 949215 1265620 1582025 1898430 3164050 3796860 4746075 6328100 6771067 9492150 13542134 18984300 20313201 27084268 33855335 40626402 67710670 81252804 101566005 135421340 169276675 203132010 338553350 406264020 507830025 677106700 1015660050 2031320100