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131252422120400 = 245273956650307
BaseRepresentation
bin11101110101111110010101…
…111111110001001111010000
3122012201121102222012000221002
4131311332111333301033100
5114200414430030323100
61143052310314321132
736434450243114000
oct3565762577611720
9565647388160832
10131252422120400
11389039265a8269
12128797227291a8
135831086671b39
14245a918994000
15102929b5be2d5
hex775f95ff13d0

131252422120400 has 120 divisors (see below), whose sum is σ = 367736378395200. Its totient is φ = 45000830394240.

The previous prime is 131252422120373. The next prime is 131252422120409. The reversal of 131252422120400 is 4021224252131.

It is a super-3 number, since 3×1312524221204003 (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131252422120409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 478187954 + ... + 478462353.

It is an arithmetic number, because the mean of its divisors is an integer number (3064469819960).

Almost surely, 2131252422120400 is an apocalyptic number.

131252422120400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131252422120400 is an abundant number, since it is smaller than the sum of its proper divisors (236483956274800).

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

131252422120400 is an equidigital number, since it uses as much as digits as its factorization.

131252422120400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 956650346 (or 956650321 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

Adding to 131252422120400 its reverse (4021224252131), we get a palindrome (135273646372531).

The spelling of 131252422120400 in words is "one hundred thirty-one trillion, two hundred fifty-two billion, four hundred twenty-two million, one hundred twenty thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 49 50 56 70 80 98 100 112 140 175 196 200 245 280 343 350 392 400 490 560 686 700 784 980 1225 1372 1400 1715 1960 2450 2744 2800 3430 3920 4900 5488 6860 8575 9800 13720 17150 19600 27440 34300 68600 137200 956650307 1913300614 3826601228 4783251535 6696552149 7653202456 9566503070 13393104298 15306404912 19133006140 23916257675 26786208596 33482760745 38266012280 46875865043 47832515350 53572417192 66965521490 76532024560 93751730086 95665030700 107144834384 133931042980 167413803725 187503460172 191330061400 234379325215 267862085960 328131055301 334827607450 375006920344 382660122800 468758650430 535724171920 656262110602 669655214900 750013840688 937517300860 1171896626075 1312524221204 1339310429800 1640655276505 1875034601720 2343793252150 2625048442408 2678620859600 3281310553010 3750069203440 4687586504300 5250096884816 6562621106020 8203276382525 9375173008600 13125242212040 16406552765050 18750346017200 26250484424080 32813105530100 65626211060200 131252422120400