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97122020101 = 1572572407049
BaseRepresentation
bin101101001110011101…
…1000110101100000101
3100021200121012211000121
41122130323012230011
53042401214120401
6112341153541541
710005526356361
oct1323473065405
9307617184017
1097122020101
1138209937217
12169a5b748b1
13920a4ab762
1449b4b3c2a1
1527d6749ca1
hex169cec6b05

97122020101 has 8 divisors (see below), whose sum is σ = 98120986200. Its totient is φ = 96127868928.

The previous prime is 97122020089. The next prime is 97122020129. The reversal of 97122020101 is 10102022179.

It can be written as a sum of positive squares in 4 ways, for example, as 54861350625 + 42260669476 = 234225^2 + 205574^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 97122020101 - 223 = 97113631493 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97122023101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1163176 + ... + 1243873.

It is an arithmetic number, because the mean of its divisors is an integer number (12265123275).

Almost surely, 297122020101 is an apocalyptic number.

It is an amenable number.

97122020101 is a deficient number, since it is larger than the sum of its proper divisors (998966099).

97122020101 is a wasteful number, since it uses less digits than its factorization.

97122020101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2407463.

The product of its (nonzero) digits is 504, while the sum is 25.

The spelling of 97122020101 in words is "ninety-seven billion, one hundred twenty-two million, twenty thousand, one hundred one".

Divisors: 1 157 257 40349 2407049 377906693 618611593 97122020101