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101232310221 = 3374198811451
BaseRepresentation
bin101111001000111101…
…0100111011111001101
3100200022001110012002000
41132101322213133031
53124310432411341
6114301103422513
710212426303450
oct1362172473715
9320261405060
10101232310221
1139a28aaaaa9
12177525b4a39
139713c075a3
144c849a1497
1529775088b6
hex1791ea77cd

101232310221 has 64 divisors (see below), whose sum is σ = 172121241600. Its totient is φ = 57603744000.

The previous prime is 101232310187. The next prime is 101232310253. The reversal of 101232310221 is 122013232101.

101232310221 is a `hidden beast` number, since 10 + 123 + 2 + 310 + 221 = 666.

It is not a de Polignac number, because 101232310221 - 27 = 101232310093 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101232310194 and 101232310203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101232310021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 69766546 + ... + 69767996.

It is an arithmetic number, because the mean of its divisors is an integer number (2689394400).

Almost surely, 2101232310221 is an apocalyptic number.

It is an amenable number.

101232310221 is a deficient number, since it is larger than the sum of its proper divisors (70888931379).

101232310221 is a wasteful number, since it uses less digits than its factorization.

101232310221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2767 (or 2761 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 101232310221 its reverse (122013232101), we get a palindrome (223245542322).

The spelling of 101232310221 in words is "one hundred one billion, two hundred thirty-two million, three hundred ten thousand, two hundred twenty-one".

Divisors: 1 3 7 9 21 27 63 189 419 881 1257 1451 2643 2933 3771 4353 6167 7929 8799 10157 11313 13059 18501 23787 26397 30471 39177 55503 79191 91413 166509 274239 369139 607969 1107417 1278331 1823907 2583973 3322251 3834993 4255783 5471721 7751919 8948317 9966753 11504979 12767349 16415163 23255757 26844951 34514937 38302047 69767271 80534853 114906141 241604559 535620689 1606862067 3749344823 4820586201 11248034469 14461758603 33744103407 101232310221