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20211201300 = 22352971634261
BaseRepresentation
bin10010110100101011…
…100111010100010100
31221011112221101222010
4102310223213110110
5312343031420200
613141312104220
71313565243063
oct226453472424
957145841863
1020211201300
118631772754
123b00835070
131ba1384514
14d9a3821da
157d4589150
hex4b4ae7514

20211201300 has 144 divisors (see below), whose sum is σ = 59457013952. Its totient is φ = 5300121600.

The previous prime is 20211201299. The next prime is 20211201301. The reversal of 20211201300 is 310211202.

It is an interprime number because it is at equal distance from previous prime (20211201299) and next prime (20211201301).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20211201301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4741170 + ... + 4745430.

Almost surely, 220211201300 is an apocalyptic number.

20211201300 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 20211201300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29728506976).

20211201300 is an abundant number, since it is smaller than the sum of its proper divisors (39245812652).

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

20211201300 is a wasteful number, since it uses less digits than its factorization.

20211201300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4538 (or 4531 counting only the distinct ones).

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

Adding to 20211201300 its reverse (310211202), we get a palindrome (20521412502).

The spelling of 20211201300 in words is "twenty billion, two hundred eleven million, two hundred one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 97 100 150 163 194 291 300 326 388 485 489 582 652 815 970 978 1164 1455 1630 1940 1956 2425 2445 2910 3260 4075 4261 4850 4890 5820 7275 8150 8522 9700 9780 12225 12783 14550 15811 16300 17044 21305 24450 25566 29100 31622 42610 47433 48900 51132 63244 63915 79055 85220 94866 106525 127830 158110 189732 213050 237165 255660 316220 319575 395275 413317 426100 474330 639150 694543 790550 826634 948660 1185825 1239951 1278300 1389086 1581100 1653268 2066585 2083629 2371650 2479902 2778172 3472715 4133170 4167258 4743300 4959804 6199755 6945430 8266340 8334516 10332925 10418145 12399510 13890860 17363575 20665850 20836290 24799020 30998775 34727150 41331700 41672580 52090725 61997550 67370671 69454300 104181450 123995100 134741342 202112013 208362900 269482684 336853355 404224026 673706710 808448052 1010560065 1347413420 1684266775 2021120130 3368533550 4042240260 5052800325 6737067100 10105600650 20211201300