Search a number
-
+
3231201321320 = 2357171121360539
BaseRepresentation
bin101111000001010010100…
…110110110000101101000
3102102220021222100022100212
4233001102212312011220
5410420000014240240
610512220550120252
7452306116030340
oct57012246660550
912386258308325
103231201321320
1110363879aa445
1244228a950088
131a591607bb8b
14b2568bb7d20
15590b6ede165
hex2f0529b6168

3231201321320 has 128 divisors (see below), whose sum is σ = 8798486457600. Its totient is φ = 1042563158016.

The previous prime is 3231201321319. The next prime is 3231201321323. The reversal of 3231201321320 is 231231021323.

It is a super-2 number, since 2×32312013213202 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3231201321323) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 53343611 + ... + 53404149.

It is an arithmetic number, because the mean of its divisors is an integer number (68738175450).

Almost surely, 23231201321320 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 3231201321320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4399243228800).

3231201321320 is an abundant number, since it is smaller than the sum of its proper divisors (5567285136280).

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

3231201321320 is a wasteful number, since it uses less digits than its factorization.

3231201321320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71787 (or 71783 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 3231201321320 its reverse (231231021323), we get a palindrome (3462432342643).

The spelling of 3231201321320 in words is "three trillion, two hundred thirty-one billion, two hundred one million, three hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 56 68 70 85 119 136 140 170 238 280 340 476 595 680 952 1190 2380 4760 11213 22426 44852 56065 60539 78491 89704 112130 121078 156982 190621 224260 242156 302695 313964 381242 392455 423773 448520 484312 605390 627928 762484 784910 847546 953105 1029163 1210780 1334347 1524968 1569820 1695092 1906210 2058326 2118865 2421560 2668694 3139640 3390184 3812420 4116652 4237730 5145815 5337388 6671735 7204141 7624840 8233304 8475460 10291630 10674776 13343470 14408282 16950920 20583260 26686940 28816564 36020705 41166520 53373880 57633128 72041410 144082820 288165640 678823807 1357647614 2715295228 3394119035 4751766649 5430590456 6788238070 9503533298 11540004719 13576476140 19007066596 23080009438 23758833245 27152952280 38014133192 46160018876 47517666490 57700023595 80780033033 92320037752 95035332980 115400047190 161560066066 190070665960 230800094380 323120132132 403900165165 461600188760 646240264264 807800330330 1615600660660 3231201321320