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321012102414340 = 2253147107531024477
BaseRepresentation
bin100100011111101010111010…
…0010101010100000000000100
31120002121110100100122212102001
41020333111310111110000010
5314033430241204224330
63054422531325355044
7124421234103213601
oct11077256425240004
91502543310585361
10321012102414340
1193314517054477
1230006367708a84
1310a174080c65ac
14593b0d65776a8
15271a3dc6ab9ca
hex123f574554004

321012102414340 has 96 divisors (see below), whose sum is σ = 710743955410944. Its totient is φ = 121607432110080.

The previous prime is 321012102414319. The next prime is 321012102414379. The reversal of 321012102414340 is 43414201210123.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 321012102414299 and 321012102414308.

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, 312830182 + ... + 313854658.

It is an arithmetic number, because the mean of its divisors is an integer number (7403582868864).

Almost surely, 2321012102414340 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 321012102414340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355371977705472).

321012102414340 is an abundant number, since it is smaller than the sum of its proper divisors (389731852996604).

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

321012102414340 is a wasteful number, since it uses less digits than its factorization.

321012102414340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1035317 (or 1035315 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 321012102414340 its reverse (43414201210123), we get a palindrome (364426303624463).

The spelling of 321012102414340 in words is "three hundred twenty-one trillion, twelve billion, one hundred two million, four hundred fourteen thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 31 47 62 94 124 155 188 235 310 470 620 940 1457 2914 5828 7285 10753 14570 21506 29140 43012 53765 107530 215060 333343 505391 666686 1010782 1024477 1333372 1666715 2021564 2048954 2526955 3333430 4097908 5053910 5122385 6666860 10107820 10244770 15667121 20489540 31334242 31758787 48150419 62668484 63517574 78335605 96300838 127035148 156671210 158793935 192601676 240752095 313342420 317587870 481504190 635175740 963008380 1492662989 2985325978 5970651956 7463314945 11016201181 14926629890 22032402362 29853259780 44064804724 55081005905 110162011810 220324023620 341502236611 517761455507 683004473222 1035522911014 1366008946444 1707511183055 2071045822028 2588807277535 3415022366110 5177614555070 6830044732220 10355229110140 16050605120717 32101210241434 64202420482868 80253025603585 160506051207170 321012102414340