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2100114300 = 2235241170741
BaseRepresentation
bin111110100101101…
…0011001101111100
312102100201212020010
41331023103031330
513300112124200
6544220423220
7103020451134
oct17513231574
95370655203
102100114300
11988506a59
124a73a7b10
1327612abab
1415ccb9ac4
15c458b150
hex7d2d337c

2100114300 has 72 divisors (see below), whose sum is σ = 6224570352. Its totient is φ = 546368000.

The previous prime is 2100114293. The next prime is 2100114343. The reversal of 2100114300 is 34110012.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73071 + ... + 97670.

It is an arithmetic number, because the mean of its divisors is an integer number (86452366).

Almost surely, 22100114300 is an apocalyptic number.

2100114300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2100114300 is an abundant number, since it is smaller than the sum of its proper divisors (4124456052).

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

2100114300 is a wasteful number, since it uses less digits than its factorization.

2100114300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170799 (or 170792 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 2100114300 is about 45827.0040478319. The cubic root of 2100114300 is about 1280.6023979308.

Adding to 2100114300 its reverse (34110012), we get a palindrome (2134224312).

The spelling of 2100114300 in words is "two billion, one hundred million, one hundred fourteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 41 50 60 75 82 100 123 150 164 205 246 300 410 492 615 820 1025 1230 2050 2460 3075 4100 6150 12300 170741 341482 512223 682964 853705 1024446 1707410 2048892 2561115 3414820 4268525 5122230 7000381 8537050 10244460 12805575 14000762 17074100 21001143 25611150 28001524 35001905 42002286 51222300 70003810 84004572 105005715 140007620 175009525 210011430 350019050 420022860 525028575 700038100 1050057150 2100114300