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20312220312 = 233629311887
BaseRepresentation
bin10010111010101100…
…111110001010011000
31221102121000201000000
4102322230332022120
5313044412022222
613155321213000
71316233011126
oct227254761230
957377021000
1020312220312
11868379a83a
123b2a631160
131bb9293a97
14da995a916
157dd3909ac
hex4bab3e298

20312220312 has 112 divisors (see below), whose sum is σ = 57301705440. Its totient is φ = 6747064128.

The previous prime is 20312220311. The next prime is 20312220319. The reversal of 20312220312 is 21302221302.

20312220312 is a `hidden beast` number, since 20 + 312 + 2 + 20 + 312 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20312220311) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1702833 + ... + 1714719.

It is an arithmetic number, because the mean of its divisors is an integer number (511622370).

Almost surely, 220312220312 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 20312220312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28650852720).

20312220312 is an abundant number, since it is smaller than the sum of its proper divisors (36989485128).

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

20312220312 is a wasteful number, since it uses less digits than its factorization.

20312220312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12204 (or 12185 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 20312220312 its reverse (21302221302), we get a palindrome (41614441614).

The spelling of 20312220312 in words is "twenty billion, three hundred twelve million, two hundred twenty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 293 324 486 586 648 729 879 972 1172 1458 1758 1944 2344 2637 2916 3516 5274 5832 7032 7911 10548 11887 15822 21096 23733 23774 31644 35661 47466 47548 63288 71199 71322 94932 95096 106983 142398 142644 189864 213597 213966 284796 285288 320949 427194 427932 569592 641898 854388 855864 962847 1283796 1708776 1925694 2567592 2888541 3482891 3851388 5777082 6965782 7702776 8665623 10448673 11554164 13931564 17331246 20897346 23108328 27863128 31346019 34662492 41794692 62692038 69324984 83589384 94038057 125384076 188076114 250768152 282114171 376152228 564228342 752304456 846342513 1128456684 1692685026 2256913368 2539027539 3385370052 5078055078 6770740104 10156110156 20312220312