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20213130312 = 2333613474421
BaseRepresentation
bin10010110100110010…
…111110010001001000
31221011200120102002000
4102310302332101020
5312344030132222
613141421311000
71313620526034
oct226462762110
957150512060
1020213130312
11863286aa81
123b01405460
131ba18ab54b
14d9a7251c4
157d481a9ac
hex4b4cbe448

20213130312 has 128 divisors (see below), whose sum is σ = 57245443200. Its totient is φ = 6606662400.

The previous prime is 20213130211. The next prime is 20213130331. The reversal of 20213130312 is 21303131202.

20213130312 is a `hidden beast` number, since 20 + 21 + 313 + 0 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4569862 + ... + 4574282.

It is an arithmetic number, because the mean of its divisors is an integer number (447230025).

Almost surely, 220213130312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20213130312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28622721600).

20213130312 is an abundant number, since it is smaller than the sum of its proper divisors (37032312888).

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

20213130312 is a wasteful number, since it uses less digits than its factorization.

20213130312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4844 (or 4834 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 20213130312 its reverse (21303131202), we get a palindrome (41516261514).

The spelling of 20213130312 in words is "twenty billion, two hundred thirteen million, one hundred thirty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 61 72 108 122 183 216 244 347 366 488 549 694 732 1041 1098 1388 1464 1647 2082 2196 2776 3123 3294 4164 4392 4421 6246 6588 8328 8842 9369 12492 13176 13263 17684 18738 21167 24984 26526 35368 37476 39789 42334 53052 63501 74952 79578 84668 106104 119367 127002 159156 169336 190503 238734 254004 269681 318312 381006 477468 508008 539362 571509 762012 809043 954936 1078724 1143018 1524024 1534087 1618086 2157448 2286036 2427129 3068174 3236172 4572072 4602261 4854258 6136348 6472344 7281387 9204522 9708516 12272696 13806783 14562774 18409044 19417032 27613566 29125548 36818088 41420349 55227132 58251096 82840698 93579307 110454264 165681396 187158614 280737921 331362792 374317228 561475842 748634456 842213763 1122951684 1684427526 2245903368 2526641289 3368855052 5053282578 6737710104 10106565156 20213130312