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20315215340 = 22571928127179
BaseRepresentation
bin10010111010111000…
…011001010111101100
31221102210122212101222
4102322320121113230
5313101143342330
613155505322512
71316300324030
oct227270312754
957383585358
1020315215340
118685455a72
123b2b636438
131bb9aa20a4
14daa0da1c0
157dd7830e5
hex4bae195ec

20315215340 has 96 divisors (see below), whose sum is σ = 51507187200. Its totient is φ = 6574901760.

The previous prime is 20315215331. The next prime is 20315215351. The reversal of 20315215340 is 4351251302.

It is a happy number.

It is a super-3 number, since 3×203152153403 (a number of 32 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 733871 + ... + 761049.

It is an arithmetic number, because the mean of its divisors is an integer number (536533200).

Almost surely, 220315215340 is an apocalyptic number.

20315215340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20315215340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25753593600).

20315215340 is an abundant number, since it is smaller than the sum of its proper divisors (31191971860).

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

20315215340 is a wasteful number, since it uses less digits than its factorization.

20315215340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27495 (or 27493 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

Adding to 20315215340 its reverse (4351251302), we get a palindrome (24666466642).

The spelling of 20315215340 in words is "twenty billion, three hundred fifteen million, two hundred fifteen thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 133 140 190 266 281 380 532 562 665 1124 1330 1405 1967 2660 2810 3934 5339 5620 7868 9835 10678 19670 21356 26695 27179 37373 39340 53390 54358 74746 106780 108716 135895 149492 186865 190253 271790 373730 380506 516401 543580 747460 761012 951265 1032802 1902530 2065604 2582005 3614807 3805060 5164010 7229614 7637299 10328020 14459228 15274598 18074035 30549196 36148070 38186495 53461093 72296140 76372990 106922186 145108681 152745980 213844372 267305465 290217362 534610930 580434724 725543405 1015760767 1069221860 1451086810 2031521534 2902173620 4063043068 5078803835 10157607670 20315215340