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101394480625 = 544722712
BaseRepresentation
bin101111001101110010…
…1001111110111110001
3100200201100121022001021
41132123211033313301
53130123441340000
6114325135335441
710216435602454
oct1363345176761
9320640538037
10101394480625
113a0015a5029
1217798981581
13973b6a7bc9
144c9c33749b
15298688e11a
hex179b94fdf1

101394480625 has 45 divisors (see below), whose sum is σ = 129935158221. Its totient is φ = 79096770000.

The previous prime is 101394480623. The next prime is 101394480631. The reversal of 101394480625 is 526084493101.

The square root of 101394480625 is 318425.

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

It can be written as a sum of positive squares in 2 ways, for example, as 7949327281 + 93445153344 = 89159^2 + 305688^2 .

It is not a de Polignac number, because 101394480625 - 21 = 101394480623 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101394480623) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 374149240 + ... + 374149510.

Almost surely, 2101394480625 is an apocalyptic number.

101394480625 is the 318425-th square number.

101394480625 is the 159213-rd centered octagonal number.

It is an amenable number.

101394480625 is a deficient number, since it is larger than the sum of its proper divisors (28540677596).

101394480625 is an frugal number, since it uses more digits than its factorization.

101394480625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 43.

The spelling of 101394480625 in words is "one hundred one billion, three hundred ninety-four million, four hundred eighty thousand, six hundred twenty-five".

Divisors: 1 5 25 47 125 235 271 625 1175 1355 2209 5875 6775 11045 12737 29375 33875 55225 63685 73441 169375 276125 318425 367205 598639 1380625 1592125 1836025 2993195 3451727 7960625 9180125 14965975 17258635 45900625 74829875 86293175 162231169 374149375 431465875 811155845 2157329375 4055779225 20278896125 101394480625