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97101316 = 221323792
BaseRepresentation
bin1011100100110…
…10011000000100
320202201020222001
411302122120010
5144324220231
613345115044
72256230134
oct562323004
9222636861
1097101316
114a8a1724
1228628a84
131716a300
14cc78ac4
1587d0b61
hex5c9a604

97101316 has 27 divisors (see below), whose sum is σ = 184490901. Its totient is φ = 44697744.

The previous prime is 97101311. The next prime is 97101341. The reversal of 97101316 is 61310179.

The square root of 97101316 is 9854.

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

It can be written as a sum of positive squares in only one way, i.e., 14364100 + 82737216 = 3790^2 + 9096^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (97101311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 256015 + ... + 256393.

Almost surely, 297101316 is an apocalyptic number.

97101316 is the 9854-th square number.

It is an amenable number.

97101316 is a deficient number, since it is larger than the sum of its proper divisors (87389585).

97101316 is a wasteful number, since it uses less digits than its factorization.

97101316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 28.

The cubic root of 97101316 is about 459.6300049365.

It can be divided in two parts, 9710 and 1316, that added together give a triangular number (11026 = T148).

The spelling of 97101316 in words is "ninety-seven million, one hundred one thousand, three hundred sixteen".

Divisors: 1 2 4 13 26 52 169 338 379 676 758 1516 4927 9854 19708 64051 128102 143641 256204 287282 574564 1867333 3734666 7469332 24275329 48550658 97101316