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20312134224320 = 2651714532569751
BaseRepresentation
bin1001001111001010010011…
…00010111000100111000000
32122220211011120001222220102
410213211021202320213000
510130243222330134240
6111111133213501532
74164334423114451
oct447451142704700
978824146058812
1020312134224320
1165213672626a4
1223407647a18a8
13b44570011623
14503180b5b128
1525357297a815
hex1279498b89c0

20312134224320 has 112 divisors (see below), whose sum is σ = 51248728600128. Its totient is φ = 7641655296000.

The previous prime is 20312134224281. The next prime is 20312134224331. The reversal of 20312134224320 is 2342243121302.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 6619445 + ... + 9189195.

Almost surely, 220312134224320 is an apocalyptic number.

20312134224320 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 20312134224320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25624364300064).

20312134224320 is an abundant number, since it is smaller than the sum of its proper divisors (30936594375808).

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

20312134224320 is a wasteful number, since it uses less digits than its factorization.

20312134224320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2571238 (or 2571228 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 20312134224320 its reverse (2342243121302), we get a palindrome (22654377345622).

The spelling of 20312134224320 in words is "twenty trillion, three hundred twelve billion, one hundred thirty-four million, two hundred twenty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 136 160 170 272 320 340 544 680 1088 1360 1453 2720 2906 5440 5812 7265 11624 14530 23248 24701 29060 46496 49402 58120 92992 98804 116240 123505 197608 232480 247010 395216 464960 494020 790432 988040 1580864 1976080 2569751 3952160 5139502 7904320 10279004 12848755 20558008 25697510 41116016 43685767 51395020 82232032 87371534 102790040 164464064 174743068 205580080 218428835 349486136 411160160 436857670 698972272 822320320 873715340 1397944544 1747430680 2795889088 3494861360 3733848203 6989722720 7467696406 13979445440 14935392812 18669241015 29870785624 37338482030 59741571248 63475419451 74676964060 119483142496 126950838902 149353928120 238966284992 253901677804 298707856240 317377097255 507803355608 597415712480 634754194510 1015606711216 1194831424960 1269508389020 2031213422432 2539016778040 4062426844864 5078033556080 10156067112160 20312134224320