Search a number
-
+
10133213013 = 32711109163823
BaseRepresentation
bin10010110111111110…
…01000111101010101
3222011012102120000200
421123333020331111
5131223100304023
64353301531113
7506052614040
oct113377107525
928135376020
1010133213013
11432aa30a10
121b69713a99
13c5648c541
146c1b1bc57
153e4923743
hex25bfc8f55

10133213013 has 96 divisors (see below), whose sum is σ = 18551470080. Its totient is φ = 5177416320.

The previous prime is 10133213011. The next prime is 10133213023. The reversal of 10133213013 is 31031233101.

It is a happy number.

It is not a de Polignac number, because 10133213013 - 21 = 10133213011 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10133213011) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12312120 + ... + 12312942.

It is an arithmetic number, because the mean of its divisors is an integer number (193244480).

Almost surely, 210133213013 is an apocalyptic number.

It is an amenable number.

10133213013 is a deficient number, since it is larger than the sum of its proper divisors (8418257067).

10133213013 is a wasteful number, since it uses less digits than its factorization.

10133213013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1119 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 10133213013 its reverse (31031233101), we get a palindrome (41164446114).

The spelling of 10133213013 in words is "ten billion, one hundred thirty-three million, two hundred thirteen thousand, thirteen".

Divisors: 1 3 7 9 11 21 33 63 77 99 109 163 231 327 489 693 763 823 981 1141 1199 1467 1793 2289 2469 3423 3597 5379 5761 6867 7407 8393 9053 10269 10791 12551 16137 17283 17767 25179 27159 37653 51849 53301 63371 75537 81477 89707 112959 124369 134149 159903 190113 195437 269121 373107 402447 570339 586311 627949 807363 939043 986777 1119321 1207341 1368059 1475639 1758933 1883847 2817129 2960331 4104177 4426917 5651541 6907439 8451387 8880993 10329473 12312531 13280751 14622241 20722317 30988419 43866723 62166951 92965257 102355687 131600169 160844651 307067061 482533953 921201183 1125912557 1447601859 3377737671 10133213013