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101032313217 = 31171151285569
BaseRepresentation
bin101111000010111111…
…1101100000110000001
3100122210010010021202120
41132011333230012001
53123403233010332
6114225201034453
710204450331013
oct1360577540601
9318703107676
10101032313217
113993611a320
12176b7625a29
1396b1651774
144c661c01b3
152964ba032c
hex1785fec181

101032313217 has 32 divisors (see below), whose sum is σ = 150013347840. Its totient is φ = 59969280000.

The previous prime is 101032313203. The next prime is 101032313237. The reversal of 101032313217 is 712313230101.

It is not a de Polignac number, because 101032313217 - 26 = 101032313153 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101032313237) 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 31 ways as a sum of consecutive naturals, for example, 211009 + ... + 496577.

It is an arithmetic number, because the mean of its divisors is an integer number (4687917120).

Almost surely, 2101032313217 is an apocalyptic number.

It is an amenable number.

101032313217 is a deficient number, since it is larger than the sum of its proper divisors (48981034623).

101032313217 is a wasteful number, since it uses less digits than its factorization.

101032313217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285805.

The product of its (nonzero) digits is 756, while the sum is 24.

Adding to 101032313217 its reverse (712313230101), we get a palindrome (813345543318).

The spelling of 101032313217 in words is "one hundred one billion, thirty-two million, three hundred thirteen thousand, two hundred seventeen".

Divisors: 1 3 11 33 71 151 213 453 781 1661 2343 4983 10721 32163 117931 285569 353793 856707 3141259 9423777 20275399 43120919 60826197 129362757 223029389 474330109 669088167 1422990327 3061585249 9184755747 33677437739 101032313217