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131113220320 = 25531239110603
BaseRepresentation
bin111101000011011110…
…1001111100011100000
3110112102111122200211001
41322012331033203200
54122004441022240
6140122123201344
712321051661435
oct1720675174340
9415374580731
10131113220320
1150671aa4025
12214b1676254
13c496703a94
1464bb289b8c
15362595b89a
hex1e86f4f8e0

131113220320 has 96 divisors (see below), whose sum is σ = 321087836160. Its totient is φ = 50540689920.

The previous prime is 131113220311. The next prime is 131113220327. The reversal of 131113220320 is 23022311131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131113220327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1130139 + ... + 1240741.

It is an arithmetic number, because the mean of its divisors is an integer number (3344664960).

Almost surely, 2131113220320 is an apocalyptic number.

131113220320 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 131113220320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160543918080).

131113220320 is an abundant number, since it is smaller than the sum of its proper divisors (189974615840).

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

131113220320 is a wasteful number, since it uses less digits than its factorization.

131113220320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110888 (or 110880 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 131113220320 its reverse (23022311131), we get a palindrome (154135531451).

The spelling of 131113220320 in words is "one hundred thirty-one billion, one hundred thirteen million, two hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 80 124 155 160 239 248 310 478 496 620 956 992 1195 1240 1912 2390 2480 3824 4780 4960 7409 7648 9560 14818 19120 29636 37045 38240 59272 74090 110603 118544 148180 221206 237088 296360 442412 553015 592720 884824 1106030 1185440 1769648 2212060 3428693 3539296 4424120 6857386 8848240 13714772 17143465 17696480 26434117 27429544 34286930 52868234 54859088 68573860 105736468 109718176 132170585 137147720 211472936 264341170 274295440 422945872 528682340 548590880 819457627 845891744 1057364680 1638915254 2114729360 3277830508 4097288135 4229458720 6555661016 8194576270 13111322032 16389152540 26222644064 32778305080 65556610160 131113220320