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321240023122242 = 237233531237761567
BaseRepresentation
bin100100100001010101000010…
…1011101110100000101000010
31120010102020122112200110202010
41021002222011131310011002
5314101144031404402432
63055115343533233350
7124443553145240430
oct11102520535640502
91503366575613663
10321240023122242
11933a2146384784
1230042575932856
1310a32a5ba903b3
145948158887d50
1527212cbe333cc
hex1242a85774142

321240023122242 has 128 divisors (see below), whose sum is σ = 768980042809344. Its totient is φ = 87472715286528.

The previous prime is 321240023122211. The next prime is 321240023122267. The reversal of 321240023122242 is 242221320042123.

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 63 ways as a sum of consecutive naturals, for example, 421433743 + ... + 422195309.

It is an arithmetic number, because the mean of its divisors is an integer number (6007656584448).

Almost surely, 2321240023122242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 321240023122242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384490021404672).

321240023122242 is an abundant number, since it is smaller than the sum of its proper divisors (447740019687102).

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

321240023122242 is a wasteful number, since it uses less digits than its factorization.

321240023122242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763192.

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 321240023122242 its reverse (242221320042123), we get a palindrome (563461343164365).

The spelling of 321240023122242 in words is "three hundred twenty-one trillion, two hundred forty billion, twenty-three million, one hundred twenty-two thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 14 21 23 42 46 69 138 161 322 353 483 706 966 1059 1237 2118 2471 2474 3711 4942 7413 7422 8119 8659 14826 16238 17318 24357 25977 28451 48714 51954 56833 56902 85353 113666 170499 170706 199157 340998 398314 436661 597471 761567 873322 1194942 1309983 1523134 2284701 2619966 3056627 4569402 5330969 6113254 9169881 10043203 10661938 15992907 17516041 18339762 20086406 30129609 31985814 35032082 52548123 60259218 70302421 105096246 122612287 140604842 210907263 245224574 268833151 367836861 421814526 537666302 735673722 806499453 942058379 1612998906 1881832057 1884116758 2826175137 3763664114 5645496171 5652350274 6183162473 6594408653 11290992342 12366324946 13188817306 18549487419 19783225959 21667342717 37098974838 39566451918 43282137311 43334685434 65002028151 86564274622 129846411933 130004056302 151671399019 259692823866 303342798038 332546607787 455014197057 665093215574 910028394114 997639823361 1995279646722 2327826254509 4655652509018 6983478763527 7648571979101 13966957527054 15297143958202 22945715937303 45891431874606 53540003853707 107080007707414 160620011561121 321240023122242