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131202222423440 = 2457419559163921
BaseRepresentation
bin11101110101001111100101…
…110111000111110110010000
3122012112210212110121012120112
4131311033211313013312100
5114144104122420022230
61143013245140500452
736431022244535240
oct3565174567076620
9565483773535515
10131202222423440
1138894606139a03
121286ba529aa728
135829416422a3c
14245831591db20
151027d0e42ed95
hex7753e5dc7d90

131202222423440 has 80 divisors (see below), whose sum is σ = 349455084693120. Its totient is φ = 44876259563520.

The previous prime is 131202222423403. The next prime is 131202222423479. The reversal of 131202222423440 is 44324222202131.

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

It is a super-2 number, since 2×1312022224234402 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131202222423397 and 131202222423406.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 279347321 + ... + 279816600.

It is an arithmetic number, because the mean of its divisors is an integer number (4368188558664).

Almost surely, 2131202222423440 is an apocalyptic number.

131202222423440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131202222423440 is an abundant number, since it is smaller than the sum of its proper divisors (218252862269680).

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

131202222423440 is a wasteful number, since it uses less digits than its factorization.

131202222423440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559164360 (or 559164354 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 131202222423440 its reverse (44324222202131), we get a palindrome (175526444625571).

The spelling of 131202222423440 in words is "one hundred thirty-one trillion, two hundred two billion, two hundred twenty-two million, four hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 419 560 838 1676 2095 2933 3352 4190 5866 6704 8380 11732 14665 16760 23464 29330 33520 46928 58660 117320 234640 559163921 1118327842 2236655684 2795819605 3914147447 4473311368 5591639210 7828294894 8946622736 11183278420 15656589788 19570737235 22366556840 31313179576 39141474470 44733113680 62626359152 78282948940 156565897880 234289682899 313131795760 468579365798 937158731596 1171448414495 1640027780293 1874317463192 2342896828990 3280055560586 3748634926384 4685793657980 6560111121172 8200138901465 9371587315960 13120222242344 16400277802930 18743174631920 26240444484688 32800555605860 65601111211720 131202222423440