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131022355440 = 2435569959449
BaseRepresentation
bin111101000000110001…
…0100111101111110000
3110112012011200021122010
41322001202213233300
54121313210333230
6140105115442520
712315566434314
oct1720142475760
9415164607563
10131022355440
1150625781989
1221487156440
13c48093b292
1464ad195b44
15361c9ad9b0
hex1e818a7bf0

131022355440 has 80 divisors (see below), whose sum is σ = 406883556000. Its totient is φ = 34877853696.

The previous prime is 131022355421. The next prime is 131022355469. The reversal of 131022355440 is 44553220131.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 131022355398 and 131022355407.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 343165 + ... + 616284.

It is an arithmetic number, because the mean of its divisors is an integer number (5086044450).

Almost surely, 2131022355440 is an apocalyptic number.

131022355440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131022355440 is an abundant number, since it is smaller than the sum of its proper divisors (275861200560).

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

131022355440 is a wasteful number, since it uses less digits than its factorization.

131022355440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960034 (or 960028 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 131022355440 its reverse (44553220131), we get a palindrome (175575575571).

The spelling of 131022355440 in words is "one hundred thirty-one billion, twenty-two million, three hundred fifty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 569 1138 1707 2276 2845 3414 4552 5690 6828 8535 9104 11380 13656 17070 22760 27312 34140 45520 68280 136560 959449 1918898 2878347 3837796 4797245 5756694 7675592 9594490 11513388 14391735 15351184 19188980 23026776 28783470 38377960 46053552 57566940 76755920 115133880 230267760 545926481 1091852962 1637779443 2183705924 2729632405 3275558886 4367411848 5459264810 6551117772 8188897215 8734823696 10918529620 13102235544 16377794430 21837059240 26204471088 32755588860 43674118480 65511177720 131022355440