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101010457197 = 321323974092
BaseRepresentation
bin101111000010010110…
…0010100001001101101
3100122201120222212221100
41132010230110021231
53123332134112242
6114223100353313
710204063501566
oct1360454241155
9318646885840
10101010457197
11399248515a1
12176b0245839
1396a9c6b600
144c6333116d
152962cd454c
hex1784b1426d

101010457197 has 54 divisors (see below), whose sum is σ = 158776881822. Its totient is φ = 61852108032.

The previous prime is 101010457181. The next prime is 101010457231. The reversal of 101010457197 is 791754010101.

101010457197 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 10 + 457 + 197 = 666.

It can be written as a sum of positive squares in 9 ways, for example, as 4342941801 + 96667515396 = 65901^2 + 310914^2 .

It is not a de Polignac number, because 101010457197 - 24 = 101010457181 is a prime.

It is a super-2 number, since 2×1010104571972 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101010457117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 246969129 + ... + 246969537.

Almost surely, 2101010457197 is an apocalyptic number.

It is an amenable number.

101010457197 is a deficient number, since it is larger than the sum of its proper divisors (57766424625).

101010457197 is an equidigital number, since it uses as much as digits as its factorization.

101010457197 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1247 (or 822 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 36.

Adding to 101010457197 its reverse (791754010101), we get a palindrome (892764467298).

The spelling of 101010457197 in words is "one hundred one billion, ten million, four hundred fifty-seven thousand, one hundred ninety-seven".

Divisors: 1 3 9 13 39 117 169 397 409 507 1191 1227 1521 3573 3681 5161 5317 15483 15951 46449 47853 67093 69121 162373 167281 201279 207363 487119 501843 603837 622089 1461357 1505529 2110849 2174653 6332547 6523959 18997641 19571877 27441037 28270489 66410557 82323111 84811467 199231671 246969333 254434401 597695013 863337241 2590011723 7770035169 11223384133 33670152399 101010457197