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1323221345404 = 2274382910191301
BaseRepresentation
bin10011010000010110001…
…000110110010001111100
311200111110120102000121221
4103100112020312101330
5133134424131023104
62451513545403124
7164412441600010
oct23202610662174
94614416360557
101323221345404
114701a1a53742
121945481994a4
1397a18ca54ca
1448089614540
15246478a8c54
hex1341623647c

1323221345404 has 96 divisors (see below), whose sum is σ = 2716001164800. Its totient is φ = 552270700800.

The previous prime is 1323221345363. The next prime is 1323221345423. The reversal of 1323221345404 is 4045431223231.

It is a self number, because there is not a number n which added to its sum of digits gives 1323221345404.

It is a congruent number.

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, 1017079554 + ... + 1017080854.

It is an arithmetic number, because the mean of its divisors is an integer number (28291678800).

Almost surely, 21323221345404 is an apocalyptic number.

1323221345404 is a gapful number since it is divisible by the number (14) 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 1323221345404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1358000582400).

1323221345404 is an abundant number, since it is smaller than the sum of its proper divisors (1392779819396).

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

1323221345404 is a wasteful number, since it uses less digits than its factorization.

1323221345404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3203 (or 3201 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 34.

Adding to 1323221345404 its reverse (4045431223231), we get a palindrome (5368652568635).

The spelling of 1323221345404 in words is "one trillion, three hundred twenty-three billion, two hundred twenty-one million, three hundred forty-five thousand, four hundred four".

Divisors: 1 2 4 7 14 28 43 86 172 301 602 829 1019 1204 1301 1658 2038 2602 3316 4076 5204 5803 7133 9107 11606 14266 18214 23212 28532 35647 36428 43817 55943 71294 87634 111886 142588 175268 223772 249529 306719 391601 499058 613438 783202 844751 998116 1078529 1226876 1325719 1566404 1689502 2157058 2651438 3379004 4314116 5302876 5913257 7549703 9280033 11826514 15099406 18560066 23653028 30198812 36324293 37120132 46376747 57005917 72648586 92753494 114011834 145297172 185506988 228023668 254270051 324637229 399041419 508540102 649274458 798082838 1017080204 1099021051 1298548916 1596165676 2198042102 4396084204 7693147357 15386294714 30772589428 47257905193 94515810386 189031620772 330805336351 661610672702 1323221345404