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20210321300 = 22521323732321
BaseRepresentation
bin10010110100101000…
…010000011110010100
31221011111021200211112
4102310220100132110
5312342320240200
613141241154152
71313554616351
oct226450203624
957144250745
1020210321300
118631221584
123b0048b958
131ba1136b00
14d9a1d3628
157d4463535
hex4b4a10794

20210321300 has 108 divisors (see below), whose sum is σ = 48774479796. Its totient is φ = 7260364800.

The previous prime is 20210321279. The next prime is 20210321303. The reversal of 20210321300 is 312301202.

It is a happy number.

It can be written as a sum of positive squares in 18 ways, for example, as 16969751824 + 3240569476 = 130268^2 + 56926^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20210321303) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 609140 + ... + 641460.

Almost surely, 220210321300 is an apocalyptic number.

20210321300 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 20210321300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24387239898).

20210321300 is an abundant number, since it is smaller than the sum of its proper divisors (28564158496).

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

20210321300 is a wasteful number, since it uses less digits than its factorization.

20210321300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32398 (or 32378 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 20210321300 its reverse (312301202), we get a palindrome (20522622502).

The spelling of 20210321300 in words is "twenty billion, two hundred ten million, three hundred twenty-one thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 37 50 52 65 74 100 130 148 169 185 260 325 338 370 481 650 676 740 845 925 962 1300 1690 1850 1924 2405 3380 3700 4225 4810 6253 8450 9620 12025 12506 16900 24050 25012 31265 32321 48100 62530 64642 125060 129284 156325 161605 312650 323210 420173 625300 646420 808025 840346 1195877 1616050 1680692 2100865 2391754 3232100 4201730 4783508 5462249 5979385 8403460 10504325 10924498 11958770 15546401 21008650 21848996 23917540 27311245 29896925 31092802 42017300 54622490 59793850 62185604 77732005 109244980 119587700 136556225 155464010 202103213 273112450 310928020 388660025 404206426 546224900 777320050 808412852 1010516065 1554640100 2021032130 4042064260 5052580325 10105160650 20210321300