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20311211312 = 2471722327283
BaseRepresentation
bin10010111010101001…
…000111110100110000
31221102112010102220122
4102322221013310300
5313044132230222
613155243425412
71316221306340
oct227251076460
957375112818
1020311211312
118683170757
123b2a225268
131bb8ccc742
14da9776d20
157dd241a42
hex4baa47d30

20311211312 has 120 divisors (see below), whose sum is σ = 49855070976. Its totient is φ = 7836263424.

The previous prime is 20311211311. The next prime is 20311211387. The reversal of 20311211312 is 21311211302.

It is a super-2 number, since 2×203112113122 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (20311211311) 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 23 ways as a sum of consecutive naturals, for example, 730823 + ... + 758105.

Almost surely, 220311211312 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 20311211312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24927535488).

20311211312 is an abundant number, since it is smaller than the sum of its proper divisors (29543859664).

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

20311211312 is a wasteful number, since it uses less digits than its factorization.

20311211312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27355 (or 27332 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 20311211312 its reverse (21311211302), we get a palindrome (41622422614).

The spelling of 20311211312 in words is "twenty billion, three hundred eleven million, two hundred eleven thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 17 23 28 34 46 56 68 92 112 119 136 161 184 238 272 289 322 368 391 476 578 644 782 952 1156 1288 1564 1904 2023 2312 2576 2737 3128 4046 4624 5474 6256 6647 8092 10948 13294 16184 21896 26588 27283 32368 43792 46529 53176 54566 93058 106352 109132 186116 190981 218264 372232 381962 436528 463811 627509 744464 763924 927622 1255018 1527848 1855244 2510036 3055696 3246677 3710488 4392563 5020072 6493354 7420976 7884787 8785126 10040144 10667653 12986708 15769574 17570252 21335306 25973416 31539148 35140504 42670612 51946832 55193509 63078296 70281008 74673571 85341224 110387018 126156592 149347142 170682448 181350101 220774036 298694284 362700202 441548072 597388568 725400404 883096144 1194777136 1269450707 1450800808 2538901414 2901601616 5077802828 10155605656 20311211312