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321131320120 = 235138910696491
BaseRepresentation
bin1001010110001001110…
…10110001001100111000
31010200220012020022110001
410223010322301030320
520230134104220440
6403305314402344
732125635116542
oct4530472611470
91120805208401
10321131320120
11114211292926
12522a22903b4
1324389a02020
141178579a692
1585478eab9a
hex4ac4eb1338

321131320120 has 128 divisors (see below), whose sum is σ = 787726296000. Its totient is φ = 117111582720.

The previous prime is 321131320049. The next prime is 321131320127. The reversal of 321131320120 is 21023131123.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321131320127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49470075 + ... + 49476565.

Almost surely, 2321131320120 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 321131320120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393863148000).

321131320120 is an abundant number, since it is smaller than the sum of its proper divisors (466594975880).

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

321131320120 is a wasteful number, since it uses less digits than its factorization.

321131320120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7673 (or 7669 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 321131320120 its reverse (21023131123), we get a palindrome (342154451243).

The spelling of 321131320120 in words is "three hundred twenty-one billion, one hundred thirty-one million, three hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 89 104 130 178 260 356 445 520 712 890 1069 1157 1780 2138 2314 3560 4276 4628 5345 5785 6491 8552 9256 10690 11570 12982 13897 21380 23140 25964 27794 32455 42760 46280 51928 55588 64910 69485 84383 95141 111176 129820 138970 168766 190282 259640 277940 337532 380564 421915 475705 555880 577699 675064 761128 843830 951410 1155398 1236833 1687660 1902820 2310796 2473666 2888495 3375320 3805640 4621592 4947332 5776990 6184165 6938879 7510087 9894664 11553980 12368330 13877758 15020174 23107960 24736660 27755516 30040348 34694395 37550435 49473320 55511032 60080696 69388790 75100870 90205427 138777580 150201740 180410854 277555160 300403480 360821708 451027135 617560231 721643416 902054270 1235120462 1804108540 2470240924 3087801155 3608217080 4940481848 6175602310 8028283003 12351204620 16056566006 24702409240 32113132012 40141415015 64226264024 80282830030 160565660060 321131320120