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51221213454000 = 2435317874777207
BaseRepresentation
bin10111010010101110111100…
…01110111001111010110000
320201100200220102201111022210
423221113132032321322300
523203202021121012000
6300534411155532120
713534416263462622
oct1351273616717260
9221320812644283
1051221213454000
111535888172a147
1258b30208ba040
1322771a7c0a815
14c9119724ac12
155dc5abdad350
hex2e95de3b9eb0

51221213454000 has 160 divisors (see below), whose sum is σ = 165229637054976. Its totient is φ = 13651343865600.

The previous prime is 51221213453987. The next prime is 51221213454067. The reversal of 51221213454000 is 45431212215.

It is a super-2 number, since 2×512212134540002 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8333397 + ... + 13110603.

Almost surely, 251221213454000 is an apocalyptic number.

51221213454000 is a gapful number since it is divisible by the number (50) 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 51221213454000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82614818527488).

51221213454000 is an abundant number, since it is smaller than the sum of its proper divisors (114008423600976).

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

51221213454000 is a wasteful number, since it uses less digits than its factorization.

51221213454000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4779020 (or 4779004 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 51221213454000 its reverse (45431212215), we get a palindrome (51266644666215).

The spelling of 51221213454000 in words is "fifty-one trillion, two hundred twenty-one billion, two hundred thirteen million, four hundred fifty-four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 1787 2000 3000 3574 5361 6000 7148 8935 10722 14296 17870 21444 26805 28592 35740 42888 44675 53610 71480 85776 89350 107220 134025 142960 178700 214440 223375 268050 357400 428880 446750 536100 670125 714800 893500 1072200 1340250 1787000 2144400 2680500 3574000 4777207 5361000 9554414 10722000 14331621 19108828 23886035 28663242 38217656 47772070 57326484 71658105 76435312 95544140 114652968 119430175 143316210 191088280 229305936 238860350 286632420 358290525 382176560 477720700 573264840 597150875 716581050 955441400 1146529680 1194301750 1433162100 1791452625 1910882800 2388603500 2866324200 3582905250 4777207000 5732648400 7165810500 8536868909 9554414000 14331621000 17073737818 25610606727 28663242000 34147475636 42684344545 51221213454 68294951272 85368689090 102442426908 128053033635 136589902544 170737378180 204884853816 213421722725 256106067270 341474756360 409769707632 426843445450 512212134540 640265168175 682949512720 853686890900 1024424269080 1067108613625 1280530336350 1707373781800 2048848538160 2134217227250 2561060672700 3201325840875 3414747563600 4268434454500 5122121345400 6402651681750 8536868909000 10244242690800 12805303363500 17073737818000 25610606727000 51221213454000