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20300023212 = 22372371039059
BaseRepresentation
bin10010111001111110…
…011100010110101100
31221101202002000201120
4102321332130112230
5313033301220322
613154203540540
71316024231100
oct227176342654
957352060646
1020300023212
118677919997
123b2652a750
131bb68b3171
14da80a3900
157dc281a5c
hex4b9f9c5ac

20300023212 has 144 divisors (see below), whose sum is σ = 57144971520. Its totient is φ = 5587843968.

The previous prime is 20300023193. The next prime is 20300023213. The reversal of 20300023212 is 21232000302.

It is a junction number, because it is equal to n+sod(n) for n = 20300023191 and 20300023200.

It is not an unprimeable number, because it can be changed into a prime (20300023213) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2236339 + ... + 2245397.

It is an arithmetic number, because the mean of its divisors is an integer number (396840080).

Almost surely, 220300023212 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 20300023212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28572485760).

20300023212 is an abundant number, since it is smaller than the sum of its proper divisors (36844948308).

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

20300023212 is a wasteful number, since it uses less digits than its factorization.

20300023212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9220 (or 9211 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 20300023212 its reverse (21232000302), we get a palindrome (41532023514).

The spelling of 20300023212 in words is "twenty billion, three hundred million, twenty-three thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 37 42 49 74 84 98 103 111 147 148 196 206 222 259 294 309 412 444 518 588 618 721 777 1036 1236 1442 1554 1813 2163 2884 3108 3626 3811 4326 5047 5439 7252 7622 8652 9059 10094 10878 11433 15141 15244 18118 20188 21756 22866 26677 27177 30282 36236 45732 53354 54354 60564 63413 80031 106708 108708 126826 160062 186739 190239 253652 320124 335183 373478 380478 443891 560217 670366 746956 760956 887782 933077 1005549 1120434 1331673 1340732 1775564 1866154 2011098 2240868 2346281 2663346 2799231 3732308 4022196 4692562 5326692 5598462 6531539 7038843 9385124 11196924 13063078 14077686 16423967 19594617 26126156 28155372 32847934 34523849 39189234 45720773 49271901 65695868 69047698 78378468 91441546 98543802 103571547 137162319 138095396 182883092 197087604 207143094 241666943 274324638 414286188 483333886 548649276 725000829 966667772 1450001658 1691668601 2900003316 3383337202 5075005803 6766674404 10150011606 20300023212