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10232010009 = 32133161103449
BaseRepresentation
bin10011000011110000…
…00001010100011001
3222102002022222000200
421201320001110121
5131423343310014
64411151252413
7511362435654
oct114170012431
928362288020
1010232010009
114380780621
121b9681a109
13c70aa15c0
146d0cb889b
153ed43ba09
hex261e01519

10232010009 has 96 divisors (see below), whose sum is σ = 16898918400. Its totient is φ = 5922201600.

The previous prime is 10232010001. The next prime is 10232010011. The reversal of 10232010009 is 90001023201.

It is a happy number.

It is not a de Polignac number, because 10232010009 - 23 = 10232010001 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10232009973 and 10232010000.

It is not an unprimeable number, because it can be changed into a prime (10232010001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22788217 + ... + 22788665.

It is an arithmetic number, because the mean of its divisors is an integer number (176030400).

Almost surely, 210232010009 is an apocalyptic number.

It is an amenable number.

10232010009 is a deficient number, since it is larger than the sum of its proper divisors (6666908391).

10232010009 is a wasteful number, since it uses less digits than its factorization.

10232010009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The spelling of 10232010009 in words is "ten billion, two hundred thirty-two million, ten thousand, nine".

Divisors: 1 3 9 13 31 39 61 93 103 117 183 279 309 403 449 549 793 927 1209 1339 1347 1891 2379 3193 3627 4017 4041 5673 5837 6283 7137 9579 12051 13919 17019 17511 18849 24583 27389 28737 41509 41757 46247 52533 56547 73749 81679 82167 124527 125271 138741 180947 194773 221247 245037 246501 356057 373581 416223 542841 584319 601211 735111 849059 1068171 1433657 1628523 1752957 1803633 2532049 2547177 2821067 3204513 4300971 5410899 7596147 7641531 8463201 11037767 12902913 18637541 22788441 25389603 33113301 36673871 55912623 87453077 99339903 110021613 167737869 262359231 330064839 787077693 1136890001 3410670003 10232010009