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102002302100 = 225223229193663
BaseRepresentation
bin101111011111111001…
…1111001110010010100
3100202021201022211100202
41132333303321302110
53132400042131400
6114505331200032
710240466155646
oct1367763716224
9322251284322
10102002302100
113a293705326
1217928446018
1398075b189a
144d18d58896
1529bee044d5
hex17bfcf9c94

102002302100 has 72 divisors (see below), whose sum is σ = 231978485760. Its totient is φ = 38856343680.

The previous prime is 102002302097. The next prime is 102002302151. The reversal of 102002302100 is 1203200201.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 429869 + ... + 623531.

Almost surely, 2102002302100 is an apocalyptic number.

102002302100 is a gapful number since it is divisible by the number (10) 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 102002302100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115989242880).

102002302100 is an abundant number, since it is smaller than the sum of its proper divisors (129976183660).

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

102002302100 is a wasteful number, since it uses less digits than its factorization.

102002302100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193929 (or 193922 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 102002302100 its reverse (1203200201), we get a palindrome (103205502301).

The spelling of 102002302100 in words is "one hundred two billion, two million, three hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 229 230 458 460 575 916 1145 1150 2290 2300 4580 5267 5725 10534 11450 21068 22900 26335 52670 105340 131675 193663 263350 387326 526700 774652 968315 1936630 3873260 4454249 4841575 8908498 9683150 17816996 19366300 22271245 44348827 44542490 88697654 89084980 111356225 177395308 221744135 222712450 443488270 445424900 886976540 1020023021 1108720675 2040046042 2217441350 4080092084 4434882700 5100115105 10200230210 20400460420 25500575525 51001151050 102002302100