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131003022204 = 223273273118253
BaseRepresentation
bin111101000000001100…
…0110111101101111100
3110112010211022001102100
41322000120313231330
54121243233202304
6140103145225100
712315243213225
oct1720030675574
9415124261370
10131003022204
11506158775aa
1221480792190
13c47992c4b2
1464aa7a224c
15361ae40439
hex1e80637b7c

131003022204 has 72 divisors (see below), whose sum is σ = 335824095152. Its totient is φ = 43051357440.

The previous prime is 131003022203. The next prime is 131003022209. The reversal of 131003022204 is 402220300131.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131003022203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7167942 + ... + 7186194.

Almost surely, 2131003022204 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131003022204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167912047576).

131003022204 is an abundant number, since it is smaller than the sum of its proper divisors (204821072948).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131003022204 is a wasteful number, since it uses less digits than its factorization.

131003022204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21067 (or 21062 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 131003022204 its reverse (402220300131), we get a palindrome (533223322335).

The spelling of 131003022204 in words is "one hundred thirty-one billion, three million, twenty-two thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 73 146 219 292 438 657 876 1314 2628 2731 5462 8193 10924 16386 18253 24579 32772 36506 49158 54759 73012 98316 109518 164277 199363 219036 328554 398726 598089 657108 797452 1196178 1332469 1794267 2392356 2664938 3588534 3997407 5329876 7177068 7994814 11992221 15989628 23984442 47968884 49848943 99697886 149546829 199395772 299093658 448640487 598187316 897280974 1794561948 3638972839 7277945678 10916918517 14555891356 21833837034 32750755551 43667674068 65501511102 131003022204