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20312154315225 = 345261971618637
BaseRepresentation
bin1001001111001010010101…
…01111100001100111011001
32122220211012221212201110000
410213211022233201213121
510130243243001041400
6111111135212243213
74164335055642513
oct447451257414731
978824187781400
1020312154315225
116521377635253
12234076b470509
13b44574227236
145031836aabb3
152535745e8600
hex12794abe19d9

20312154315225 has 60 divisors (see below), whose sum is σ = 37631226033324. Its totient is φ = 10831394148480.

The previous prime is 20312154315217. The next prime is 20312154315247. The reversal of 20312154315225 is 52251345121302.

20312154315225 is a `hidden beast` number, since 2 + 0 + 3 + 1 + 215 + 431 + 5 + 2 + 2 + 5 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 922037811984 + 19390116503241 = 960228^2 + 4403421^2 .

It is not a de Polignac number, because 20312154315225 - 23 = 20312154315217 is a prime.

It is a super-2 number, since 2×203121543152252 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 20312154315225.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 11739607 + ... + 13358243.

Almost surely, 220312154315225 is an apocalyptic number.

20312154315225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

20312154315225 is a deficient number, since it is larger than the sum of its proper divisors (17319071718099).

20312154315225 is a wasteful number, since it uses less digits than its factorization.

20312154315225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1624856 (or 1624842 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 20312154315225 its reverse (52251345121302), we get a palindrome (72563499436527).

The spelling of 20312154315225 in words is "twenty trillion, three hundred twelve billion, one hundred fifty-four million, three hundred fifteen thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 405 675 2025 6197 18591 30985 55773 92955 154925 167319 278865 464775 501957 836595 1394325 1618637 2509785 4182975 4855911 8093185 12548925 14567733 24279555 40465925 43703199 72838665 121397775 131109597 218515995 364193325 655547985 1092579975 3277739925 10030693489 30092080467 50153467445 90276241401 150460402335 250767337225 270828724203 451381207005 752302011675 812486172609 1354143621015 2256906035025 4062430863045 6770718105075 20312154315225