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131030442402400 = 25521631004834681
BaseRepresentation
bin11101110010101111100110…
…111110010110001001100000
3122011221101110211011222122001
4131302233212332112021200
5114133300321223334100
61142402315414453344
736412431340463332
oct3562574676261140
9564841424158561
10131030442402400
1138828775863672
12128426b2064254
13581616b782588
14244dc9b6d1452
1510236086c5d6a
hex772be6f96260

131030442402400 has 72 divisors (see below), whose sum is σ = 321840509967144. Its totient is φ = 52090629811200.

The previous prime is 131030442402373. The next prime is 131030442402413. The reversal of 131030442402400 is 4204244030131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 502286941 + ... + 502547740.

It is an arithmetic number, because the mean of its divisors is an integer number (4470007082877).

Almost surely, 2131030442402400 is an apocalyptic number.

131030442402400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131030442402400 is an abundant number, since it is smaller than the sum of its proper divisors (190810067564744).

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

131030442402400 is a wasteful number, since it uses less digits than its factorization.

131030442402400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1004834864 (or 1004834851 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 131030442402400 its reverse (4204244030131), we get a palindrome (135234686432531).

The spelling of 131030442402400 in words is "one hundred thirty-one trillion, thirty billion, four hundred forty-two million, four hundred two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 163 200 326 400 652 800 815 1304 1630 2608 3260 4075 5216 6520 8150 13040 16300 26080 32600 65200 130400 1004834681 2009669362 4019338724 5024173405 8038677448 10048346810 16077354896 20096693620 25120867025 32154709792 40193387240 50241734050 80386774480 100483468100 160773548960 163788053003 200966936200 327576106006 401933872400 655152212012 803867744800 818940265015 1310304424024 1637880530030 2620608848048 3275761060060 4094701325075 5241217696096 6551522120120 8189402650150 13103044240240 16378805300300 26206088480480 32757610600600 65515221201200 131030442402400