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20101202300 = 22521094334259
BaseRepresentation
bin10010101110001000…
…000000000101111100
31220212212221212201002
4102232020000011330
5312131401433200
613122342305432
71311061254224
oct225610000574
956785855632
1020101202300
118585671893
123a8ba28278
131b8464c75a
14d8990b084
157c9aabbd5
hex4ae20017c

20101202300 has 72 divisors (see below), whose sum is σ = 44131810800. Its totient is φ = 7946449920.

The previous prime is 20101202299. The next prime is 20101202309. The reversal of 20101202300 is 320210102.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20101202309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4717571 + ... + 4721829.

Almost surely, 220101202300 is an apocalyptic number.

20101202300 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 20101202300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22065905400).

20101202300 is an abundant number, since it is smaller than the sum of its proper divisors (24030608500).

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

20101202300 is a wasteful number, since it uses less digits than its factorization.

20101202300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4815 (or 4808 counting only the distinct ones).

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

Adding to 20101202300 its reverse (320210102), we get a palindrome (20421412402).

The spelling of 20101202300 in words is "twenty billion, one hundred one million, two hundred two thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 109 218 433 436 545 866 1090 1732 2165 2180 2725 4259 4330 5450 8518 8660 10825 10900 17036 21295 21650 42590 43300 47197 85180 94394 106475 188788 212950 235985 425900 464231 471970 928462 943940 1179925 1844147 1856924 2321155 2359850 3688294 4642310 4719700 7376588 9220735 9284620 11605775 18441470 23211550 36882940 46103675 46423100 92207350 184414700 201012023 402024046 804048092 1005060115 2010120230 4020240460 5025300575 10050601150 20101202300