Search a number
-
+
130203213231 = 37131737758243
BaseRepresentation
bin111100101000010110…
…1110101110110101111
3110110002002022112202210
41321100231311312233
54113124010310411
6135451534421503
712256362023520
oct1712055656657
9413062275683
10130203213231
1150245357253
1221298961893
13c380015550
146432486847
1535c0b04ca6
hex1e50b75daf

130203213231 has 64 divisors (see below), whose sum is σ = 232350225408. Its totient is φ = 62891624448.

The previous prime is 130203213227. The next prime is 130203213307. The reversal of 130203213231 is 132312302031.

It is not a de Polignac number, because 130203213231 - 22 = 130203213227 is a prime.

It is a super-2 number, since 2×1302032132312 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 130203213198 and 130203213207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130203213031) 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, 207405 + ... + 550838.

It is an arithmetic number, because the mean of its divisors is an integer number (3630472272).

Almost surely, 2130203213231 is an apocalyptic number.

130203213231 is a deficient number, since it is larger than the sum of its proper divisors (102147012177).

130203213231 is a wasteful number, since it uses less digits than its factorization.

130203213231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758320.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 130203213231 its reverse (132312302031), we get a palindrome (262515515262).

The spelling of 130203213231 in words is "one hundred thirty billion, two hundred three million, two hundred thirteen thousand, two hundred thirty-one".

Divisors: 1 3 7 13 17 21 37 39 51 91 111 119 221 259 273 357 481 629 663 777 1443 1547 1887 3367 4403 4641 8177 10101 13209 24531 57239 171717 758243 2274729 5307701 9857159 12890131 15923103 28054991 29571477 38670393 69000113 84164973 90230917 167571703 196384937 207000339 270692751 364714883 476934847 502715109 589154811 1094144649 1173001921 1430804541 2553004181 3338543929 3519005763 6200153011 7659012543 10015631787 18600459033 43401071077 130203213231