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131143401320 = 23519213616673
BaseRepresentation
bin111101000100011000…
…0010111111101101000
3110112111121110001100212
41322020300113331220
54122040202320240
6140125122120252
712321566342621
oct1721060277550
9415447401325
10131143401320
11506880384a8
12214bb7b0088
13c49ca40269
1464c12a4a48
15362841e165
hex1e88c17f68

131143401320 has 96 divisors (see below), whose sum is σ = 311695688520. Its totient is φ = 49652490240.

The previous prime is 131143401239. The next prime is 131143401329. The reversal of 131143401320 is 23104341131.

It can be written as a sum of positive squares in 4 ways, for example, as 45461915524 + 85681485796 = 213218^2 + 292714^2 .

It is not an unprimeable number, because it can be changed into a prime (131143401329) 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 23 ways as a sum of consecutive naturals, for example, 19649504 + ... + 19656176.

Almost surely, 2131143401320 is an apocalyptic number.

131143401320 is a gapful number since it is divisible by the number (10) 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 131143401320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155847844260).

131143401320 is an abundant number, since it is smaller than the sum of its proper divisors (180552287200).

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

131143401320 is a wasteful number, since it uses less digits than its factorization.

131143401320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8083 (or 8060 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 131143401320 its reverse (23104341131), we get a palindrome (154247742451).

The spelling of 131143401320 in words is "one hundred thirty-one billion, one hundred forty-three million, four hundred one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 361 380 722 760 1361 1444 1805 2722 2888 3610 5444 6673 6805 7220 10888 13346 13610 14440 25859 26692 27220 33365 51718 53384 54440 66730 103436 126787 129295 133460 206872 253574 258590 266920 491321 507148 517180 633935 982642 1014296 1034360 1267870 1965284 2408953 2456605 2535740 3930568 4817906 4913210 5071480 9081953 9635812 9826420 12044765 18163906 19271624 19652840 24089530 36327812 45409765 48179060 72655624 90819530 96358120 172557107 181639060 345114214 363278120 690228428 862785535 1380456856 1725571070 3278585033 3451142140 6557170066 6902284280 13114340132 16392925165 26228680264 32785850330 65571700660 131143401320