Search a number
-
+
20300212212 = 22371314993697
BaseRepresentation
bin10010111001111111…
…001010011111110100
31221101202102121222120
4102321333022133310
5313033323242322
613154211555540
71316025646110
oct227177123764
957352377876
1020300212212
118677a38995
123b265bbbb0
131bb694b1b7
14da8112740
157dc2bca5c
hex4b9fca7f4

20300212212 has 96 divisors (see below), whose sum is σ = 54671232000. Its totient is φ = 5742696960.

The previous prime is 20300212189. The next prime is 20300212213. The reversal of 20300212212 is 21221200302.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 20300212191 and 20300212200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20300212213) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5489148 + ... + 5492844.

It is an arithmetic number, because the mean of its divisors is an integer number (569492000).

Almost surely, 220300212212 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 20300212212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27335616000).

20300212212 is an abundant number, since it is smaller than the sum of its proper divisors (34371019788).

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

20300212212 is a wasteful number, since it uses less digits than its factorization.

20300212212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4341 (or 4339 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 20300212212 its reverse (21221200302), we get a palindrome (41521412514).

The spelling of 20300212212 in words is "twenty billion, three hundred million, two hundred twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 131 262 393 499 524 786 917 998 1497 1572 1834 1996 2751 2994 3493 3668 3697 5502 5988 6986 7394 10479 11004 11091 13972 14788 20958 22182 25879 41916 44364 51758 65369 77637 103516 130738 155274 196107 261476 310548 392214 457583 484307 784428 915166 968614 1372749 1452921 1830332 1844803 1937228 2745498 2905842 3390149 3689606 5490996 5534409 5811684 6780298 7379212 10170447 11068818 12913621 13560596 20340894 22137636 25827242 38740863 40681788 51654484 77481726 154963452 241669193 483338386 725007579 966676772 1450015158 1691684351 2900030316 3383368702 5075053053 6766737404 10150106106 20300212212