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125471099961 = 3271216632
BaseRepresentation
bin111010011011010101…
…0010000110000111001
3102222212022000021201100
41310312222100300321
54023431100144321
6133350213042013
712031201516104
oct1646652206071
9388768007640
10125471099961
114923718a539
1220398026309
13baa781c91c
146103bd973b
1533e5467326
hex1d36a90c39

125471099961 has 27 divisors (see below), whose sum is σ = 183935210277. Its totient is φ = 82419676920.

The previous prime is 125471099927. The next prime is 125471099969. The reversal of 125471099961 is 169990174521.

It is a happy number.

The square root of 125471099961 is 354219.

It is a perfect power (a square), and thus also a powerful number.

125471099961 is a `hidden beast` number, since 1 + 2 + 547 + 1 + 0 + 9 + 9 + 96 + 1 = 666.

It is not a de Polignac number, because 125471099961 - 219 = 125470575673 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 125471099898 and 125471099907.

It is not an unprimeable number, because it can be changed into a prime (125471099969) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 75447816 + ... + 75449478.

Almost surely, 2125471099961 is an apocalyptic number.

125471099961 is the 354219-th square number.

125471099961 is the 177110-th centered octagonal number.

It is an amenable number.

125471099961 is a deficient number, since it is larger than the sum of its proper divisors (58464110316).

125471099961 is an frugal number, since it uses more digits than its factorization.

125471099961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3474 (or 1737 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 54.

The spelling of 125471099961 in words is "one hundred twenty-five billion, four hundred seventy-one million, ninety-nine thousand, nine hundred sixty-one".

Divisors: 1 3 9 71 213 639 1663 4989 5041 14967 15123 45369 118073 354219 1062657 2765569 8296707 8383183 24890121 25149549 75448647 196355399 589066197 1767198591 13941233329 41823699987 125471099961