Search a number
-
+
131134242553425 = 33522571415353411
BaseRepresentation
bin11101110100010000010001…
…111100011111111001010001
3122012022022101211111000002000
4131310100101330133321101
5114142000412043202200
61142522123412144213
736423064530300336
oct3564202174377121
9565268354430060
10131134242553425
11388687a1293451
121285a840608069
135822ba1680097
142454d0732298d
15102618135b300
hex774411f1fe51

131134242553425 has 96 divisors (see below), whose sum is σ = 241857423884160. Its totient is φ = 69659902771200.

The previous prime is 131134242553421. The next prime is 131134242553429. The reversal of 131134242553425 is 524355242431131.

131134242553425 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 34 + 2 + 42 + 553 + 4 + 25 = 666.

It is an interprime number because it is at equal distance from previous prime (131134242553421) and next prime (131134242553429).

It is not a de Polignac number, because 131134242553425 - 22 = 131134242553421 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (131134242553421) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2455164970 + ... + 2455218380.

It is an arithmetic number, because the mean of its divisors is an integer number (2519348165460).

Almost surely, 2131134242553425 is an apocalyptic number.

131134242553425 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131134242553425 is a deficient number, since it is larger than the sum of its proper divisors (110723181330735).

131134242553425 is a wasteful number, since it uses less digits than its factorization.

131134242553425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67840 (or 67829 counting only the distinct ones).

The product of its digits is 1728000, while the sum is 45.

Adding to 131134242553425 its reverse (524355242431131), we get a palindrome (655489484984556).

The spelling of 131134242553425 in words is "one hundred thirty-one trillion, one hundred thirty-four billion, two hundred forty-two million, five hundred fifty-three thousand, four hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 135 225 257 675 771 1285 2313 3855 6425 6939 11565 14153 19275 34695 42459 53411 57825 70765 127377 160233 173475 212295 267055 353825 382131 480699 636885 801165 1061475 1335275 1442097 1910655 2403495 3184425 3637321 4005825 7210485 9553275 10911963 12017475 13726627 18186605 32735889 36052425 41179881 54559815 68633135 90933025 98207667 123539643 163679445 205899405 272799075 343165675 370618929 491038335 617698215 755925883 818397225 1029497025 1853094645 2267777649 2455191675 3088491075 3779629415 6803332947 9265473225 11338888245 18898147075 20409998841 34016664735 56694441225 102049994205 170083323675 194272951931 510249971025 582818855793 971364759655 1748456567379 2914094278965 4856823798275 5245369702137 8742282836895 14570471394825 26226848510685 43711414184475 131134242553425