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1312254000225 = 325271097643827
BaseRepresentation
bin10011000110001000011…
…011101111110001100001
311122110011020102011101100
4103012020123233301201
5132444444011001400
62442501405225013
7163543606650510
oct23061033576141
94573136364340
101312254000225
11466584199a03
121923a7262169
139698ba7234c
1447728c04677
1524204b1a100
hex131886efc61

1312254000225 has 72 divisors (see below), whose sum is σ = 2710807161920. Its totient is φ = 594383909760.

The previous prime is 1312254000217. The next prime is 1312254000229. The reversal of 1312254000225 is 5220004522131.

1312254000225 is a `hidden beast` number, since 1 + 3 + 12 + 25 + 400 + 0 + 225 = 666.

It is not a de Polignac number, because 1312254000225 - 23 = 1312254000217 is a prime.

It is a super-2 number, since 2×13122540002252 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1312254000229) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3650239 + ... + 3993588.

Almost surely, 21312254000225 is an apocalyptic number.

1312254000225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1312254000225 is an abundant number, since it is smaller than the sum of its proper divisors (1398553161695).

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

1312254000225 is a wasteful number, since it uses less digits than its factorization.

1312254000225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7643959 (or 7643951 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 1312254000225 its reverse (5220004522131), we get a palindrome (6532258522356).

The spelling of 1312254000225 in words is "one trillion, three hundred twelve billion, two hundred fifty-four million, two hundred twenty-five", and thus it is an aban number.

Divisors: 1 3 5 7 9 15 21 25 35 45 63 75 105 109 175 225 315 327 525 545 763 981 1575 1635 2289 2725 3815 4905 6867 8175 11445 19075 24525 34335 57225 171675 7643827 22931481 38219135 53506789 68794443 114657405 160520367 191095675 267533945 343972215 481561101 573287025 802601835 833177143 1337669725 1719861075 2407805505 2499531429 4013009175 4165885715 5832240001 7498594287 12039027525 12497657145 17496720003 20829428575 29161200005 37492971435 52490160009 62488285725 87483600015 145806000025 187464857175 262450800045 437418000075 1312254000225